Find the equation of the line through the points (7,2) and (−5,−10)

Answer:

x^2-5xy+4y^2

Step-by-step explanation:

In the equation we see only 1 example of like terms, 2xy-7xy=-5xy

So the simplified equation is

x^2-5xy+4y^2

This is your answer:

x^2+5xy+4y^2

Answer:

1. The y-int is 20,000 which is how much the car was originally worth.

2. The slope is -1800, so for every year (t) it goes down from 20,000 by 1800

3. After 5 years.

Step-by-step explanation:

11000=-1800(t)+20000

subtract 20000 from both sides

-9000=-1800(t)

divide -1800 from both sides

5=t

Answer:

12. -11

13. 2

Step-by-step explanation:

12. First recall the order of operations (BEDMAS): Brackets, Exponents, Division, Multiplication, Addition, Subtraction

For question 12 there is a division and its priority is before other operations in the equation so you must divide 16/-2 first which gives you -8.

From there because addition and subtraction is on the same level of order, you would do the question straight as it is shown (but replace 16/-2 with -8.

Your new equation is -10-8+7 = -11

13. follow the same as above using BEDMAS. It may help to look at it with additional brackets: ((-68)/(-4)) + ((5 x (-3))

Division and multiplication is on the same level in BEDMAS so first divide -68/-4 = 17

Second multiply 5 x -3 = -15

Now you can combine the two answers using addition: 17 + (-15) = 2

The equation that could be used to determine x is \(\frac{11+x}{53+x} \leq 0.300\).

Inequality is a relation that makes a non-equal comparison between two expressions.

Batting average of William = 11/53

Desired batting average = 0.300

Suppose the number of more hits in a row to have desired batting average =x

Number of hits now =11+x

Number of bats now =53+x

It is given that the batting average should be a minimum of 0.300.

This means \(\frac{11+x}{53+x} \leq 0.300\)

Therefore, the equation that could be used to determine x is \(\frac{11+x}{53+x} \leq 0.300\).

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The slope of the line segment is -1/2 . Option A is correct.

What is slope ?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

The slope is the "rise over run" between any two points on the line.

Count out how much "up or down" vs "left or right" to find the slope:

   We go up 5 and right 5, giving us the fraction

Thus , slope is given by -5 /10 = -1 /2      

When counting, up and right are counted as positive; left and down are counted as negative.

Hence , the slope of the line segment is -1/2 . Option A is correct.

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Answer:

Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x

Step-by-step explanation:

Answer:

The probability is   \(P(X <  3) =  0.7843 \)

Step-by-step explanation:

From the question we are told that

   The low yield rate is  \(q = 0.98\)

    The sample size n = 80

Hence the probability that the bottle is bad

       \(p = 1- q\)

=>    \(p = 1 - 0.98\)

=>     \(p =0.02\)

Generally the distribution of yield follows a binomial distribution  

i.e  

         \(X  \~ \ \ \  B(n , p)\)

and the probability distribution function for binomial  distribution is  

      \(P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}\)

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability less than three bottles are bad is mathematically represented as

    \(P(X <  3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)\)

=>  \(P(X <  3) = ^{80}C_0 *  0.02^0 *  (1- 0.02)^{80-0} +^{80}C_1 *  0.02^1 *  (1- 0.02)^{80-1}+ ^{80}C_2 *  0.02^2 *  (1- 0.02)^{80-2}\)

=>  \(P(X <  3) = 1 *  1 * 0.1986 + 80 *  0.02 *  0.2027 + 3160 *  0.0004 * 0,2068\)

=>  \(P(X <  3) =  0.7843 \)

Answer:784 i think

Step-by-step explanation:

98 x 8 = 784. My teacher told me that when multiplying %'s you do the precent # x the #

Given:

Mean (μ) = 70

Standard deviation (σ) = 5

z-score = 2.33

To find:

The X-value.

Solution:

We know that,

\(z=\dfrac{X-\mu}{\sigma}\)

On substituting the values, we get

\(2.33=\dfrac{X-70}{5}\)

Multiply both sides by 5.

\(2.33\times 5=X-70\)

\(11.65=X-70\)

Add 70 on both sides.

\(11.65+70=X\)

\(81.65=X\)

Therefore, the required X-value is 81.65.

Answer:

x value is 81.65.

Step-by-step explanation:

Given:

Using the z-score formula:

z = (x - mean) / SD

Plug the values:

\(2.33=\frac{x-70}{5}\\x=5\left(2.33\right)+70\\x=81.65\)

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Answer:

Nope

Step-by-step explanation:

Nope

Answer:

Option B) A and C

Step-by-step explanation:

Answer:

To find the perimeter of the rectangle, we need to add up the lengths of all four sides.

The horizontal sides of the rectangle have a length of 3 - (-1) = 4 units.

The vertical sides of the rectangle have a length of 3 - (-3) = 6 units.

Therefore, the perimeter of the rectangle is:

2(4 units) + 2(6 units) = 8 units + 12 units = 20 units.

Therefore, the perimeter of the rectangle is 20 units. Answer: 20 units.

The perimeter of the rectangle is 20 units.

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Using the distance formula, the length of the side between (-1,3) and (3,3).

= √[(3 - (-1))² + (3 - 3)²]

= √16

= 4

Similarly, the length of the side between (3,3) and (3,-3).

= √[(3 - 3)² + (3 - (-3))²]

= √36

= 6

The length of the side between (3,-3) and (-1,-3) is also 4, and the length of the side between (-1,-3) and (-1,3) is 6.

Now,

The perimeter of the rectangle.

= 4 + 6 + 4 + 6

= 20

Thus,

The perimeter of the rectangle is 20 units.

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Required inequality is 47.25x ≤ 194.02.

An inequality is created when two or more algebraic expressions are compared using the symbols <, >, or ≤. They represent mathematical formulas when neither side is equal.

Given Data

Evan has $580 to spend at a bicycle store for some new gear and biking outfits

He buys a new bicycle for $396.95.

• He buys 4 bicycle reflectors for $7.40 each and a pair of bike gloves for $22.94.

• He plans to spend some or all of the money he has left to buy new biking outfits for $42.10 each.

Money spend on reflectors = 4(17.33)

Money spend on reflectors = $69.32

Total money left = (580 -(285.41 + 69.32 + 31.25))

Total money left = $194.02

If she buy x biking outfits:

47.25x ≤ 194.02

Required inequality is 47.25x ≤ 194.02.

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Answer:

Step-by-step explanation:

Similar triangles have the same shape but different sizes.

A is incorrect. We don't know the length of the sides, or if it is equilateral so we can't say that fg/lm=fh/ln

B is correct. FH and LN may be different sizes but they are similar

C is correct. Since the triangles are similar the angles are similar.

D is incorrect. The triangle is the same shape, not neccesarily the same size

E is correct. See C for explanation.

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer:

if u carry the 7 by7 by 7 by 2 with devizon

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer:

200 children.

180 adults.

Step-by-step explanation:

let x=Children and y=Adults

create 2 equations.

x+y = 380

2.50x+5.80y = 1544

solve for x in the first equation and plug into the second equation.

x = 380-y

2.50(380-y) +5.80y = 1544

distribute and simplify.

950 + 3.3y = 1544

simplify

3.3y = 594

y = 180

plug y back into first equation and you get that there were 200 children.

Answer:

$8.96

Step-by-step explanation:

To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47

(7.47×0.20=1.494)

Add $1.49 to $7.47

(1.49+7.47=8.96)

And there is your total amount with a 20% tip!

$8.96

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

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To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:

Total number of flowers: 1,064

Number of centerpieces: 28

Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces

Number of flowers in each centerpiece = 1,064 / 28 = 38

Therefore, there will be 38 flowers in each centerpiece.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 38

Step-by-step explanation:

The question is asking you to divided.

1064 divided by 28 = 38

So there will be 38 flowers in each centerpiece

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

If I did this correct, it should be 7,5 hope ot helps

Because Old Navy has a higher standard deviation, we know that there is more variation in the wait times at Old Navy. Overall, wait times are Old Navy are more spread out from the average; wait times at the Gap are more concentrated near the average.

The standard deviation of a data-set is calculated as the square root of the sum of the difference squared between each observation and the mean, divided by the number of values.

Hence a higher standard deviation means that there is more variation in the data-set, that is, the values are more spread out, while a lower standard  deviation means that the values are more centered around the mean of the data-set.

The problem is given by the image shown at the end of the answer.

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Slope of regression is 0.8710 and at 4 tons top speed of boat is 111.064 mph.

Linear regression is a data analysis technique that predicts the value of unknown data by using another related and known data value. It mathematically models the unknown or dependent variable and the known or independent variable as a linear equation.

Given, In a study of the performance of a new engine design, the weight of 12 speed boats (in tons) and the top speed (in mph) were recorded.

Solution(a)

Given in the question

Dependent variable is top speed of a boat (in mph) Independent variable is weight of boat (in tons)

from the coefficient table of Enova summary we can write least square regression line as follows

Top speed = 107.58 +0.8710* Weight of boat

Here intercept of regression line = 107.58

Slope of regression line = 0.8710

Solution(b)

if X = 4 tons

than predictive value of the top speed of a boat can be calculated as

Top speed = 107.58 +0.8710 * 4 = 107.58 +3.484 = 111.064 mph predictive value of the top speed of a boat = 111.064 mph if its weigh It is 4 tons.

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Complete question:

Let's simplify step-by-step.

2a(x+y)+b(x+y)

Distribute:

=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)

=2ax+2ay+bx+by

The simplification of the expression is 2ax+2ay+bx+by.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.

Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,

E = 2a(x+y)+b(x+y)

Multiply the values in the whole bracket and simplify,

E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)

E = 2ax+2ay+bx+by

The simplified expression is given as 2ax+2ay+bx+by.

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Answer:

d

Step-by-step explanation:

if x =3 and f(x) =x2-2x+6 then 9=f

Answer:

9

Step-by-step explanation:

took test