The table shows a proportional relationship between x and y. Dimitrios and Katerina have to complete the table. Katerina incorrectly says the ratio is 10 a complete the table. 3 5 7 0 y 30 50 70 90 Ratio y/x​

The slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

According to the given question.

We have a line AB containing the points A(4, 5) and B(9, 7).

Here, we have to find the slope of line AB.

As we know that, as we know that, the slope of a line is the ratio of the amount that y increases as x increases some amount.And the slope formula is m=(y2-y1)/(x2-x1) if a lines passes through the point (x2, y2) and (x1, y1).

Therefore, the slope of the line AB which passes through the points (4, 5) and B(9, 7)

= (7 - 5)/(9 - 4)

= 2/5

Hence, the slope of the line AB which passes through the points (4, 5) and B(9, 7) is 2/5.

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Answer:

2 degrees Celsius

Step-by-step explanation:

I did this by just counting it out:

if the temperature drops 3 degrees every hour, that means we just subtract 3 for every hour after midnight

12:00-11

1:00-8

2:00-5

3:00-2

hope this helps :D

The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

The function of absolute value calculates the separation between a point and an origin.

A less-than-compound inequality is represented by:

[tex] |x| \leq a[/tex]

then the solution is

[tex] - a \leq \: x \: \leq \: a[/tex]

according to the question

Temperature T is set to 400°F with a tolerance of 15°F, meaning that the absolute difference between T and 400°F may not be greater than 15°F; in other words:

[tex] |T - 400| \leq \: 15[/tex]

now apply the solution

[tex] - 15 \leq \: T - 400 \leq \:15[/tex]

then simplify this

[tex]T - 400 \ge \: - 15 \\ T \geq \: - 15 + 400 \\ T \geq \: 385[/tex]

[tex]T - 400 \leq \: 15 \\ T \leq \: 15 + 400 \\ T \leq \: 415[/tex]

Hence, The highest temperature recorded was 415°F(maximum).

At its lowest, the temperature is 385°F(minimum).

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Answer:

C

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

y = x² + 3x -2

y = (-2)² + 3(-2) - 2

y = 4 - 6 - 2

y = -4

I hope this helps!

The given statement "the quotient of 10 and x​" can be written in the form of an expression as 10/x

An expression in mathematics is a group of numbers, variables, and mathematical operations created in accordance with context-dependent principles.

Expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's sequence of operations and other features.

The given statement "the quotient of 10 and x​" can be written in the form of an expression as shown below.

The quotient of 10 and x​ → 10/x

Hence, The given statement "the quotient of 10 and x can be written in the form of an expression as10/x

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The width of the banner is 8  feets

The banner is in the shape of a rectangle

The length of the banner or the rectangle is 20 feet

the length of the banner or the rectangle is 2.5 times the width

So here we need to find out the value of width of the banner or the rectangle  in feets

Let us assume the width of the banner or the rectangle  to be x feets

So, the length of the banner or the rectangle  would become 2.5 x

by solving this simple linear  equation 20 = 2.5x

                                      [tex]\frac{20}{2.5}[/tex]  = x

so the value of x appears to be 8 feets

hence, the width of the banner is 8  feets

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By using trigonometric relations, we will see that:

a = 7/2, b = (7*√3)/2

So the correct option is the second option, counting from the top.

Here we have a right triangle where we only know the value of the hypotenuse and one of the angles, and we want to find the measures of both of the legs (also known as cathetus).

Then we will use the two relations:

cos(θ) = (adjacent cathetus to the angle)/(hypotenuse)

With that relation we can find the value of b:

cos(30°) = b/7

cos(30°)*7 = b = (7*√3)/2

The other relation we will use is:

sin(θ) = (opposite angle to the given angle)/(hypotenuse)

With that we can get the value of a:

sin(30°) = a/7

sin(30°)*7 = a = 7/2

Then the correct option is:

a = 7/2, b = (7*√3)/2

Which is the second option, counting from the top.

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The solution of the given system of equations is (0, -4)

We will use the substitution method.

Given the system of equations:

-3x - y = 4   ............ (1)

4x + 2y = -8   ..........(2)

Add 3x to both sides of (1):

-3x - y +3x = 4 + 3x

-y = 4+3x

Multiply by (-1)

y = -(4+3x)

Substitute y = -(4+3x) into equation (2)

4x + 2y = -8

4x + 2. (-(4+3x)) = -8

4x - 8 - 6x = -8

-2x -8 = -8  (Add 8 to both sides)

-2x -8 + 8 = -8 + 8

-2x = 0

x = 0

Substitute x = 0 into:

y = -(4+3x)

y = -(4+3 . 0) = -4

The solution is (0, -4)

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The coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

The coordinates of the vertices of the figure are given as:

H(−4, 3), I(−1, 5), J(−4, 0)

The transformation is given as:

A reflection across the x-axis

The rule of reflection across the x-axis is

(x, y) = (x, -y)

When the above rule is applied on the coordinates of the vertices of the figure, we have:

H' (−4, -3), I'(−1, -5), J(−4, 0)

Hence, the coordinates of the vertices of the figure after the given transformation are H' (−4, -3), I'(−1, -5), J(−4, 0)

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Answer:

1/5, 1/6, 3/5.

Step-by-step explanation:

Answer:

1/6, 1/5, 3/5

Does this help?

Answer:

Step-by-step explanation:

Doesn't she have 350 dollars now? She already spent the 200 and she was THEN given 350.

Sotomayor became the youngest judge in the Southern District and the first Hispanic federal judge in New York State. She became the first Puerto Rican woman to serve as a judge in a U.S. federal court.

1961: Sonia Sotomayor and her younger brother, Juan Jr., with their parents, Juan and Celina,  within the  family’s Bronxdale Homes apartment, a  housing project  project.

Sonia Maria Sotomayor was born in    City in the borough of the Bronx, where she spent her  youth . Her parents, Juan and Celina, were both born in Puerto Rico. Juan was a  mill-hand , Celina a nurse. When Sonia was three, shortly after the birth of her brother, Juan, the family moved from  a little  apartment in the South Bronx to the Bronxdale Homes, a  housing project  project. From kindergarten through eighth grade, Sonia Sotomayor attended the Blessed Sacrament Parish School. Life  reception  was difficult, as strained finances and friction between her parents were aggravated by her father’s worsening alcoholism. Little Sonia Maria Sotomayor found refuge in books and  within the  home of a loving grandmother who lived nearby. At age seven, Sonia Maria Sotomayor  was diagnosed with diabetes. Living with this disease taught her self-reliance; she soon learned to sterilize her own needles and inject herself with insulin.

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The expansion of the expression given as y^4 is y^4 = y * y * y * 4

The expression is given as:

y^4

According to the exponent law of indices, we have

x^n = x * x * x * ..... *xn

This means that, the expansion of the expression given as y^4 is

y^4 = y * y * y * 4

Hence, the expansion of the expression given as y^4 is y^4 = y * y * y * 4

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Answer: y * y * y * y

Step-by-step explanation:

y is being multiplied by itself four times

The we can draw a rectangle with length = 2 cm and width = 4 cm.

According to the statement

We have to find that the dimensions of the another rectangle.

So, For this purpose, we know that the

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

From the given information:

The perimeter of a pool is 150 m. The rectangle at the right is a scale drawing of the pool. The length of each square on the grid represents 1 cm. Draw another scale drawing of the pool using the scale 25 m to 2 cm.

Then

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = 25/l = 25/2

Scale factor = l = 2cm

Then Similarly,

50/ w= 50/2

w = 4cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

So, The we can draw a rectangle with length = 2 cm and width = 4 cm.

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Answer:

you can go to the gym for 21 months.

Step-by-step explanation:

1.) Organize: membership per month= $20, down payment= $80, to spend= $500.

2.) Make an equation: 20m+80<500.

3.) Solve: (subtract the down payment first) 500-80= 420 (divide 420 ($ left after the downpayment) by the monthly fee) 420/20= 21.

4.) Convert: (make sure not to mix up with numbers and subtract and or divide by the wrong numbers!) 21m.

5.) Finalize: you can go to the gym for 21 months.

Hope this helps! Comment below this if you have any questions :)

Answer:

38.2

Step-by-step explanation:

[tex]\boxed{+38.2}\\\\\sf 29 - 0\\= 29(0)\\29(0) - 228(76 \times 3)\\= 62(3)\\62(3) - 608(76 \times 8)\\= 15(2)\\15(2) - 152(76 \times 2)\\= 0[/tex]

m² + n²/p² = 1  is not equation of triangle

Solution :

Triangle :

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. Equilateral triangle.

Pythagorean triples are any three positive integers that completely satisfy the Pythagorean theorem. The theorem states that in any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs of the right triangle.

m² + n²/p² = 1

Pythagorean triples are a set of 3 positive numbers that fit in the formula of the Pythagoras theorem which is expressed as, a2 + b2 = c2, where a, b, and c are positive integers. Here, 'c' is the 'hypotenuse' or the longest side of the triangle and 'a' and 'b' are the other two legs of the right-angled triangle. The Pythagorean triples are represented as (a,b, c). The most popular example of Pythagorean triples is (3, 4, 5). We can verify that 3, 4 and 5 satisfy the equation a2 + b2 = c2. Let us see how! 32 + 42 = 52 ⇒ 9 + 16 = 25. Observe the right-angled triangle given below which shows the Pythagorean triples, 3, 4, and 5.

triangle triplet :

3,4,5

let's try to prove this by using pre define triplet triangle  

m= 3

n=4

p=5

3*3+4*4/5*5= 1

9+16/25= 1

9*25 +16/25 =1

225+16/25=1

9.64[tex]\neq[/tex] 1

this

m² + n²/p² = 1  is not equation of triangle

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Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation

Step 2. Solve using PEMDAS

[tex]\frac{6 ( 6 + 2)}{3}[/tex]

[tex]\frac{6 ( 8 )}{3}[/tex]

[tex]\frac{48}{3}[/tex]

16

Answer:

6(a+c)÷b

6(6+2)÷3

6×8÷3

48÷3

16 Ans

Step-by-step explanation 16is the answer

Answer:

got u hommie -x-5

Step-by-step explanation:

graphed it on desmos

Answer: I hope this helps.

Step-by-step explanation:

Answer:

1 its an obvious answer cause 1+4=5

We know that ,

1 feet= 0.33 Yard

Given that .

An air conditioning circulate 1 cubic foot per minutes

So it circulates 0.33 Yards per minute .

13.32 yards per minute

Given that an air conditioning system can circulate 360 cubic feet of air per minute. This is the rate of cubic feet per minute. That is,

Rate = volume/time. Which is

360 = volume/ 1

Volume = 360 cubic feet

Convert cubic feet to cubic yard

1 cubic foot = 0.037 cubic yards

Multiply this by 360

Cubic yards = 360 × 0.037

Cubic yards = 13.32

Therefore, if 360 cubic feet can circulate air per minute, this is equal 360 cubic feet of air per minute. how many cubic yards of air can it circulate per minute​ to 13.32 cubic yards of air which can circulate air per minute​

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A function is defined as a relation between a set of inputs having one output each. The function f(x)=2x+5 is a one-one

A function is defined as a relation between a set of inputs having one output each.

we need to check correspondence of the function f(x) = 2x + 5.

f(x)=2x+5

f'(x)=2

i.e increasing function (one-one).

But it is not onto because f(x) does not take all values in N.

Range of f(x)=Codomain.

It is a one one function.

Therefore the given function f(x)=2x+5 is a one one function.

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Answer:

Los Angeles

Step-by-step explanation:

If you convert the scientific notation of Chicago (2.3x10³) to regular notation, that would be 2,300 km. Which is further out than LA.

Answer: $40

Step-by-step explanation: Bob has $100 he gives $15 to each of his 4 friends how much money does he have left?

Answers in bold

Each answer is in interval notation.

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

Explanation:

The graph is increasing when the curve goes uphill when moving to the right.

This occurs on the interval -2.5 < x < 0 which condenses to the interval notation (-2.5, 0); be sure not to mix this up with ordered pair notation which unfortunately looks identical.

----------

The graph is decreasing when the curve goes downhill when moving to the right.

This happens on two separate intervals of -∞ < x < -2.5 and 0 < x < ∞ which condense to the interval notation (-∞, -2.5) and (0, ∞) respectively.

Joining those two intervals up with the union symbol gets us

(-∞, -2.5) U (0, ∞)