Sketch the graphs - 2y – 3=x​

Answer:

mean= sum of all observations /no.of observation

mean=45+80+15+10+94/5

mean=244/5

mean=48.8

this is how the calculator gets 48.8

Answer:

-6x - 2y = 12

Step-by-step explanation:

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:

The difference is:497,725

Step-by-step explanation:

Answer: Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming or all of the US states in alphabetical order

Answer:

The area of a square is given by the formula A = s^2, where s is the side length. If Doug has 8 square pieces of wood, each with a side length of s centimeters, the total area of all the pieces can be expressed as:

8s^2 = 200

To solve for s, we can simplify the equation by dividing both sides by 8:

s^2 = 25

Now we can create a quadratic equation by subtracting 25 from both sides:

s^2 - 25 = 0

This is a quadratic equation in standard form, where the coefficient of the squared term is 1, the coefficient of the linear term is 0, and the constant term is -25. Doug can use this equation to find the side length of each piece of wood by solving for s using methods such as factoring, completing the square, or using the quadratic formula.

Answer:

21

Step-by-step explanation:

The 5 smallest prime numbers are 1, 2, 3, 5, and 7.

So when multiplied it equals 105.

Divide by 42 and you get 2 21/42

So you have a remainder of 21

Answer:

1) false

2) false

3) true

4)false

5) true

6) true

Answer:

(3+2)x - 4x

Step-by-step explanation:

I just converted the words, turned them to operations and that's it!

Hope this helps! :D

- Anna

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

\(cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}\)

Step-by-step explanation:

Given

\(P\ (a,b)\)

\(r = \± \sqrt{(a)^2 + (b)^2}\)

\(cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}\)

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

\(r = \sqrt{(a)^2 + (b)^2}\)

Since a belongs to the x axis and b belongs to the y axis;

\(cos\theta\) is calculated as thus

\(cos\theta = \frac{a}{r}\)

Substitute \(r = \sqrt{(a)^2 + (b)^2}\)

\(cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}\)

\(cos\theta = \frac{a}{\sqrt{a^2 + b^2}}\)

Rationalize the denominator

\(cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}\)

\(cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}\)

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

Answer:

a on e2020 :)

Step-by-step explanation:

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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Answer:

6 x 10^4 =60000 witch is just 6,0000 if u want to go further it would be 60000+0000+000+00+0 but i wouldn't advise that

2.3 x 10^3 =2300 witch would be 2,000+300   thats it

HOPED THIS HELP (let me know if it did) :) ;)

The answer to the question is 4/15

The graph of the equation y = 2/3 has been plotted

The equation is

y = 2/3

The slope intercept form of the line is

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinate

x is the x coordinate

The slope of the line the change in y coordinate with respect to the change in x coordinate

By comparing the equation and the slope intercept form

y intercept b = 2/3

The slope of the line is zero, therefore the line is parallel to x axis

Draw the graph of the line

Hence, the graph of the equation y = 2/3 has been plotted

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Answer:20.4

Step-by-step explanation:

Change the divisor 1.2 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.

Answer:

I'dont think it's 77 or not right

Given info:-

Evaluate:

[(1⅕ - 2/5).(-3/5)³]÷(-9)

⇛[6/5 - 2/5).(3³/5³)]÷(-9)

Take the LCM 5 & 5 is 5.

⇛[(6-2 /5). (3*3*3/5*5*5)]÷(-9)

⇛[(4/5).(27/125)]÷(-9)

⇛[4/5 × 27/125)]÷(-9)

⇛[(4*27)/(5*125)]÷(-9)

⇛[20/625] ÷ (-9)

⇛[20/625] ÷ 1/9

⇛20/625 × 9/1

⇛(20*9)/(625*1)

⇛180/625

Now, reduce the fraction by extracting and cancaling out with 5.

⇛36/125 or 0.228 Ans.

Hope this helps!

An expression that equals 24 + 3B in standard form is: 36 + 9m

What is standard form ?

To find an expression that equals 24 + 3B in standard form, we first need to find the value of B and then substitute it into the expression.

Given that B = 3m + 4, we can substitute it into 24 + 3B to get:

24 + 3B = 24 + 3(3m + 4)

Simplifying the expression inside the parentheses, we get:

24 + 9m + 12

Combining like terms, we get:

36 + 9m

Therefore, an expression that equals 24 + 3B in standard form is:

36 + 9m

What is an expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, etc.) that represents a value or a relationship between values. Expressions can be simple, such as a single number or variable, or complex, such as a combination of several terms with different operators.

For example, 2x + 3y - 5 is an expression that consists of three terms (2x, 3y, and -5) with two operators (+ and -). This expression can be evaluated for different values of x and y to obtain different numerical results.

Expressions can be used to represent mathematical formulas, describe geometric shapes and patterns, and solve real-world problems in a wide range of fields, including science, engineering, finance, and statistics.

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Complete question is: An expression that equals 24 + 3B in standard form is: 36 + 9m,

The prism shown in the question is a cuboid

The volume of a cuboid is given by

Volume = Length x Breadth x Height

Length = 4 cm

Breadth = 4 cm

Height = 9 cm

Therefore, the volume of the prism = 4cm x 4cm x 9cm

Volume = 144 cubic cm

Option A is correct

Answer:

Notice the change in sample size.

Answer:

1. The expected mean for a sample of 150 women is 168.5 pounds.

2. The standard deviation of the mean for a sample of 150 women is 6.8 pounds.

3. The probability of 150 women having a sample mean below 160 pounds is 0.0849.

4. The probability of 150 women having a sample mean above 175 pounds is 0.0305.

5. The probability of 200 women having a sample mean below 160 pounds is 0.0434.

6. The probability of 200 women having a sample mean above 175 pounds is 0.0153.

The solution is given below. Notice the change in sample size.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

In 2016, the CDC estimated the mean weight of U.S. women over the age of 20 years old was 168.5 pounds with a standard deviation of 68 pounds.

so. we get,

1. The expected mean for a sample of 150 women is 168.5 pounds.

2. The standard deviation of the mean for a sample of 150 women is 6.8 pounds.

3. The probability of 150 women having a sample mean below 160 pounds is 0.0849.

4. The probability of 150 women having a sample mean above 175 pounds is 0.0305.

5. The probability of 200 women having a sample mean below 160 pounds is 0.0434.

6. The probability of 200 women having a sample mean above 175 pounds is 0.0153.

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Note that the limit of the expression as x approaches infinity is 1/2.

start by multiplying both the numerator and denominator by the conjugate  expression

√ (x ² - 9x + 1) + x,

this will eliminates the root in the numerator

lim x->∞ [(√(x ² - 9x + 1) - x)  * (√(x² - 9x + 1) + x)] / (√(x² - 9x + 1) + x)

Expanding the numerator

lim x- >∞ [(x² - 9x + 1) - x^2] / (√(x² - 9x + 1) + x)

Simplifying further:

lim x->∞ [(1 - 9/x + 1/ x²)] / (√(1 - 9/x + 1 /x²) + 1)

we can see that the 1/x ² term approaches zero, and the expression simplifies to

lim x->∞ [(1 - 0)]  / (√(1 - 0) + 1)

= 1/2

So it is correct to state that the limit of the expression as x approaches infinity is 1/2.

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Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

==================================================

Explanation:

We have something of the form [M*N]^2 where M = 3 and N = (2a)^(3/2)

Squaring the M leads to M^2 = 3^2 = 9

Squaring the N leads to N^2 = (2a)^3 = 8a^3

Notice how the fractional exponent goes away. The denominator '2' cancels with the '2' from the squaring operation

In other words, the rule is \(\left(x^{1/2}\right)^2 = x\) where x is nonnegative.

A more general form of the rule is \(\left(x^{p/2}\right)^2 = x^p\)

-------------

After squaring M and N, we then get to

[MN]^2 = M^2*N^2 =  9*8a^3 = 72a^3

So that shows why choice B is the answer.

Answer:

Yes you can.

Step-by-step explanation:

You can because you can just subsitute x-2=5 and x+3=5 into the equation.

Answer:

x=3±/5

Step-by-step explanation:

i don't actually know how to do certain symbols sorry but i hope you know what this means

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

Answer:

Slope-intercept form: y = -3x/5 - 3

Point slope form: y = -3/5 (x + 5)

Standard form: 5y + 3x = -15

Step-by-step explanation:

Using points (-5, 0) and (0, -3)

Gradient of the line = (-3-0)/(0+5)

= -3/5

Slope intercept form; y = mx + c

when x= 0 , y = -3

therefore intercept on y axis = - 3

y= -3x/5 - 3

Point slope form: y - y1 = m (x - x1)

y - 0 = -3/5 (x + 5)

y= -3/5 (x+5)

Standard form: ax + by = c

y= -3/5 (x + 5)

5y = -3(x + 5)

5y= -3x - 15

5y + 3x = -15

the simplified Answer to the given expression 36 x 5 +59 x(234)(51) will be 7,04,286.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, an expression 36 x 5 +59 x(234)(51)

Simplifying using PEMDAS

=> 36 x 5 +59 x(234)(51)

First, we will open a bracket

=> 36 * 5 + 59 * 11934

Now multiple of the given terms:

=> 180 + 704106

Addition of the last two-term

=> 7,04,286

Therefore, the simplified Answer to the given expression will be 7,04,286.

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Answer:

0.015625

Step-by-step explana