Select the graph of the solution. Click until the correct graph appears.



|x| = 1

Answer:

let the number be x and y

Step-by-step explanation:

x+y=12

x-y=-4

here,

Answer: x < √3 - x

Step-by-step explanation:

-x^2+x-3<0

= x^2+x < 3

= x^2 < 3 - x

= x < √3 - x

we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

We are given an arithmetic sequence:

26, 24 , 22 ....

We need to find the nth term of this sequence (aₙ)

We will first find the common difference between the terms:

Common difference = d = 24 - 26 = - 2

also, we know that initial term = a = 26.

We know the formula for aₙ is given by:

aₙ = a + ( n - 1 ) d

Substituting the values, we get that:

aₙ = 26 + ( n - 1 ) ( - 2 )

aₙ = 26 - 2 n + 2

aₙ = 28 - 2 n

Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.

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The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

Team A won 3 more medals than two times the medals won by Team B.

If the number of medals won by team B is x, than;

Number of medals won by team A = 3 + 2x

Number of medals won by team B = x

Also, we are told that Team A won 9 more medals than Team B.

Thus;

(3 + 2x) = x + 9

2x - x = 9 - 3

x = 6

3 + 2x = 3 + 2(6) = 15 medals

Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

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The points Y and Z after transition are (-4,-2) and (-2,4)

In this case, we are required to find x' and y' to find the direction of transition

x' =x coordinate of point 2 - x coordinate of point 1

   = 0-2 = -2

y'= y coordinate of point 2 - y coordinate of point 1

   =4-2 = 2

Now we are required to  subtract these transition from the points given,

Transition of point Y = (-2-2 ,0-2)  =(-4,-2)

Transition of point Z =(0-2,6-2)  = (-2,4)

Hence the points after transition are  Y as(-4,-2) and Z as (-2,4)

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Answer:

Step-by-step explanation:

the irrational number can't be represented to a fraction number, like pi and square root of 2 , e and so on, the third fourth choice are true

rational number and irrational number are included in real number, the second choice means the decimal numbers with circulating decimal, it is belong to rational number.

the fifth choice only be used to decimal number  with circulating decimal, not the irrational number.

Answer:

it would be A since the plus sign is canceled by the minus sign for the equation.

The amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

Let x represent the amount of water

Hence,

15% = .18(30)/(30+x)× 100          

Solve for x

.15 = 5.4/(30+x)

.15(30+x) = 5.4

30 + x = 5.4/.15= 36

x = 36 - 30

x = 6 ml

Therefore the amount of water that should be added to 30 mL of 18​% alcohol solution to reduce the concentration to 15​% is: 6ml.

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Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

An equation of the tangent line to the curve [tex]x e^y+y e^x=4[/tex] at the point (0, 4) is [tex]y=-(4+e^4) x+4[/tex].

A tangent is described as a line that intersects a circle or an ellipse only at one point. If a line touches a curve at P, the point "P" is known as the point of tangency.

Now according to the question;

To obtain the tangent at a given point, we must first obtain the slope at that point by obtaining the differentiation value at that point  [tex]\left.y^{\prime}\right|_{x=0, y=4}[/tex] as-

Consider the given equation;

[tex]x e^y+y e^x=4[/tex]

Differentiate both side with respect to x;

[tex]\begin{aligned}&\frac{d}{d x}\left(x e^y+y e^x\right)=\frac{d}{d x} 4 \\&\frac{d}{d x} x e^y+\frac{d}{d x} y e^x=0\end{aligned}[/tex]

Now apply product rule;

[tex]\begin{aligned}&e^y \frac{d}{d x} x+x \frac{d}{d x} e^y+e^x \frac{d}{d x} y+y \frac{d}{d x} e^x=0 \\&e^y \frac{d}{d x} x+x \frac{d}{d y} e^y \cdot y^{\prime}+e^x y^{\prime}+y \frac{d}{d x} e^x=0\end{aligned}[/tex]

Applying exponential and power rule;

[tex]\begin{aligned}&e^y \cdot 1+x e^y \cdot y^{\prime}+e^x y^{\prime}+y e^x=0 \\&\left(x e^y+e^x\right) y^{\prime}=-y e^x-e^y\end{aligned}[/tex]

Solve the value of y'

[tex]y^{\prime}=\frac{-y e^x-e^y}{x e^y+e^x}[/tex]

Now, find the value of slope m.

[tex]m=\left.y^{\prime}\right|_{x=0, y=4}[/tex]

[tex]\frac{-4 \cdot e^0-e^4}{0 e^4+e^0}=-4-e^4[/tex]

Now, using the point-slope formula, obtain the line equation as follows.

[tex]\begin{aligned}&\left(y-y_1\right)=m\left(x-x_1\right) \\&(y-4)=-(4+e^4) \cdot(x-0) \\&y=-(4+e^4) x+4\end{aligned}[/tex]

Therefore, an equation of the tangent line to the curve is   [tex]y=-(4+e^4) x+4[/tex].

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The class size is 10.

The upper limit of the class interval 40 - 50 is 50/

The lower limit of the class interval 20 - 30 is 20.

The frequency of class interval 10 - 20 is 10.

A class interval is a group of values that are put together for computation in a frequency distribution. An example of a class interval is 20 - 30. The class size is the difference between the upper limit and the lower limit of a class interval. The class size is the same for all the data set.

Class size = upper limit - lower limit

50 - 40 = 10

The upper limit is the biggest number in a class. The lower limit is the smallest number in a class. For example in the class 20 - 30, the  upper limit is 30 and the  lower limit is 20. The frequency of a distribution is the number of times that data within a class appears in the data set. For example, the class 40 -- 50 appears 7 times in the data set.

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Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

The 82nd Percentile is 89.784

The formula n = (P/100) x N, where P is the percentile, N is the number of values in a data collection (ordered from least to largest), and n is the ordinal rank of a particular value, can be used to determine percentiles. In order to comprehend exam scores and biometric measurements, percentiles are routinely utilized.

The values' percentiles as determined by the formula are displayed below.

Percentile Value 0th = 51.7 5th = 68.1 10th = 69.36 15th = 71.24 20th = 72.92 25th = 74.6 30th = 75.86 45th = 80.38 60th = 84.34 65th = 85.38 70th = 87.12 75th = 88.4 80th = 89.4 85th = 90.84 90th = 92.44 95th = 95.2 100th = 100.1

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Answer: 1

Step-by-step explanation:

How big is the table? 1 table can fit all 17 people if the table is big enough.

Answer:

15.9p-13

Step-by-step explanation:

Answer:

15.9p-13

Step-by-step explanation:

i had this question and got it right

Answer:

2. All real numbers

Step-by-step explanation:

Hope this helps!

Please mark as brainliest if correct!

Answer:

The type of polygon that is formed is a Hexagon because of its 6 sides.

Step-by-step explanation:

When you graph all of these points into a coordinate grid it should look like this:

1.545 is  the riemann sum of the function .

What does Riemann sum do?

f(x) = x

p = { 1, 1.2 , 1.7 , 2}

c = { 1.1, 1.45,2}

fpr the interval  ( 1, 1.2) Δx = 0.2

                          ( 1.2, 1.7 ) Δx = 0.5

                           ( 1.7 , 2 )  Δx = 0.3

R(f, p,c ) = f(1.1) 0.2 + f( 1.45)0.5 +  f(0)0.3

             = (1.1) × 2  + ( 1.45) ×( 0.5) +  2 × 0.3

             = 0.22 + 0.725 + 0.6

             = 1.545

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The equation of the line is y=x+12.

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

The points are

(-3,9)=[tex](x_{1} ,y_{1} )[/tex] and (-9,3)=[tex](x_{2} ,y_{2} )[/tex]

The equation y = mx + c is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

We have to Write the equation of the line.

According to given question we have,

Equation of line passing through the point (-3,9) and  (-9,3).

Slope of the line=

[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } \\\\=\frac{3-9}{-9+3} \\\\=\frac{-6}{-6} \\\\=1[/tex]

⇒y−9=1(x+3)

⇒y-9=x+3

Add 9 on both sides we get,

y=x+12

∴ y=x+12 which is in the form y=mx +c is the required equation.

Therefore, the equation of the line is y=x+12.

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y = x + 12

What is equation of a line?

The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term. It is an equation of degree one, with variables x and y. The values of x and y represent the coordinates of the point on the line represented in the coordinate plane.

y-y₁=m(x-x₁)

mm₁=-1

Points (-3,9) and  (−9,3).

Slope of the line m = (y₂ - y₁)/(x₂ - x₁)

m = (3-9)/(-9+3)

m = 1

Now  equation of line passing through two points

(y - y₁)/(y₂ - y₁) = m*(x - x₁)/(x₂ - x₁)

(y - 9)/(3-9) = 1*(x - 3)/(-9+3)

y - 9 = x + 3

y = x + 12

Therefore, the equation of line is y = x + 12

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The absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= 3.1 + (-6.3)

To find the absolute value of 3.1 + (-6.3):

= |3.1 + (-6.3)|

= |3.1 - 6.3|

= |-3.2|

= 3.2

Thus, the absolute value of a number expression 3.1 + (-6.3) is 3.2 the answer is 3.2.

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The value of 'b' written in inequalities is: 8 > b > -8.

Inequalities are mathematical declarations that include the symbols > and <.

Some rules for solving the inequalities are-

For the given inequality;

48 < -6b < 48

Divide the inequality by -6; By the rule four when negative number is used for division of multiplication, the sign reverse.

Thus,

8 > b > -8 which defined the limits for the b values.

Therefore, the interval for the value of 'b'  are obtained as  8 > b > -8.

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Answer:

9

Step-by-step explanation:

The number 9 is in the hundredths place!

From left to right starting from the right side of the decimal, it goes tenths, hundredths, thousandths, etc!

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

[tex]x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}[/tex]

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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Answer:  87/100

Step-by-step explanation:

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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Infer means to guess or reach a conclusion, especially based on an indirect hint.

The passage suggests that the main reason the narrator considers Great Expectations to be the best gift he ever received is that reading the book convinced him that he wanted to be a writer.

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