Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Aakash has a fever. His body temperature during the day was 99.2°F. By evening, his body temperature has increased by 3.4°F. His body temperature in the evening is °F.

Answer:

  y = -3x - 23

Step-by-step explanation:

When a transversal of the two lines is constructed, the alternate interior angles formed by the transversal are congruent. This means line m and n are parallel to each other so their slope will be the same.

Given:

  line m:   y = -3x + 8                 <======= slope is -3

line n going through point (-4, -11) with same slope as line m:

  y = mx + b

  (-11) = -3(-4) + b

  -11 = 12 + b

  b = -23                                    <===== y-intercept of line n

Use the above slope and y-intercept to form equation of line n:

  y = mx + b

  y = -3x - 23

Answer:

Basically do -19.5 divided by 3

The answer is -6.5

Step-by-step explanation:

Hope that helps :)

The rate of change in elevation is approximately -6.5 centimeters per second.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find the rate of change in elevation, we need to divide the change in elevation by the time it took to change.

The change in elevation is -19.5 centimeters (we use a negative sign to indicate the decrease in elevation).

The time it took to change is 3 seconds.

Therefore, the rate of change in elevation is:

rate of change = change in elevation / time

rate of change = -19.5 cm / 3 sec

rate of change ≈ -6.5 cm/sec

So the rate of change in elevation is approximately -6.5 centimeters per second.

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Answer:

12/9 and 4/3... Hit it in the calculator

Step-by-step explanation:

I used a calculator but the answer is 1 1/6

Answer: it would be the fourth one with the line going straight across the top

Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

The fourth graph represents a function as per the vertical line test.

To determine the function:

Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.

The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.

There is a range, co-domain, and domain for every function.

As per the given graphs,

the first three graphs do not represent a function.

only the fourth graph represents a function.

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Answer:

Rational number

Step-by-step explanation:

An irrational number is like pi, something that you can never write down completely.

2/5 is not a whole number, or an integer because it's a fraction of a number.

Answer:

-4-6=-10

Step-by-step explanation:

Hope this helps! If you have any questions comment below (^-^)

Answer:

o

Step-by-step explanation:

Answer:

59.3sq ft

Step-by-step explanation:

Answer:

the first one is. hope helps

Answer:

30 minutes it’s just the numbers of Apple times 2

Step-by-step explanation:

Complete question :

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Construct a confidence interval for the mean jump height of gray kangaroos.

Answer:

(271, 301)

Step-by-step explanation:

Given that:

Mean (x¯) = 286

Margin of Error = 15 inches

The confidence interval :

(Mean - Margin of Error), (mean + margin of error)

(286 - 15), (286 + 15)

(271, 301)

Hence confidence interval equals : (271, 301)

Answer:

$252000

Step-by-step explanation:

Amount of real estate without commission = $315000

Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8

5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8

23/4 + 81/8 + 33/8 = 46+81+33/8

23/4 + 81/8 + 33/8 = 160/8

23/4 + 81/8 + 33/8 = 20%

Hence the total percent commission is 20%

Commission amount = 20% of $315000

Commission amount = 20/100 * 315000

Commission amount = 0.2*315000

Commission amount = $63000

The amount the seller get = $315000 = $63000

The amount the seller get= $252000

Simplify the expression.

Exact Form:

10/9

Decimal Form:

1.¯1

Mixed Number Form:

1/1/9

Answer:

It would be 1⅑

Step-by-step explanation:

First we turn the fractions into improper fractions.

4 7/9 would now be 43/9

3 2/3 would not be 11/3

Now, we have to make them have the same “bottom number”

3x11=33, 3x3=9

Now our equation is..

43/9 - 33/9 = 10/9

When we turn it into a simplified fraction, it would be 1⅑  

Answer:

they both have a pattern and different shapes

Step-by-step explanation:

give me brainlest NOW

Answer:

c

Step-by-step explanation:

cc

The length of BC in the right triangle is 82 units

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given triangle the line segment AB is 18 units

AC is 80 units

We have to find BC

By using pythagoras theorem we find the length of segment BC

BC²=AB²+AC²

BC²=18²+80²

BC²=324+6400

=6724

BC=√6724

BC=82

Hence, the length of BC in the right triangle is 82 units

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Answer:

Step-by-step explanation:

 c   11). f(x) = - 5x ; f(4) = - 5(4) = - 20

 e   12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11

 b   13). f(x) = 8 + 3x - 5 ; f(- 6) = 3(- 6) + 3 = - 15

 a   14). f(x) = [tex]\frac{1}{3}[/tex] x - 4 ; y-intercept is (- 4) and slope of the line is less than 1

 f   15). f(x) = 3 - 3x ; y-intercept is 3 and slope of the line is ( - 3) ⇒ line is going down

9514 1404 393

Answer:

Step-by-step explanation:

Each of the quantities is described in terms of the number of Schnauzers, and that is the number we are asked for. It is convenient to write an equation for the number of Schnauzers. We choose to use s for the variable representing that number.

  s = # of Schnauzers

  s+3 = # of Scotties, 3 more than the number of Schnauzers

  2s-5 = # of Wire-haired Terriers, 5 less than twice the number of Schnauzers

The total number of dogs is then ...

  (s+3) +(s) +(2s-5) = 78

  4s -2 = 78 . . . . simplify

  4s = 80 . . . . . . add 2

  s = 20 . . . . . . . divide by 4

There were 20 Schnauzers at the dog show.

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Answer:

6x^2+10x-6=0

Step-by-step explanation:

First, you need to add all like terms:

6x^2+8x-6=-2x

Now move the -2x to the other side:

6x^2+10x-6=0

Answer:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x^2+8*x-6-(2-2*x-2)=0  

Step by step solution :

STEP 1 :

The Equation at the end of step 1

 (((2•3x2) +  8x) -  6) -  -2x  = 0  

STEP 2 :

STEP 3 :

Pulling out like terms

3.1     Pull out like factors :

  6x2 + 10x - 6  =   2 • (3x2 + 5x - 3)  

Trying to factor by splitting the middle term

3.2     Factoring  3x2 + 5x - 3  

The first term is,  3x2  its coefficient is  3.

The middle term is,  +5x  its coefficient is  5.

The last term, "the constant", is  -3  

Step-1: Multiply the coefficient of the first term by the constant   3 • -3 = -9  

Step-2: Find two factors of  -9  whose sum equals the coefficient of the middle term, which is   5.

     -9    +    1    =    -8  

     -3    +    3    =    0  

     -1    +    9    =    8  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

The Equation at the end of step 3 :

 2 • (3x2 + 5x - 3)  = 0  

STEP 4 :

Equations which are never true:

4.1      Solve :    2   =  0

This equation has no solution.

A non-zero constant never equals zero.

Parabola, Finding the Vertex:

4.2      Find the Vertex of y = 3x2+5x-3

Parabolas have the highest or lowest point called the Vertex.   Our parabola opens up and accordingly has the lowest point (AKA absolute minimum).   We know this even before plotting  "y"  because the coefficient of the first term, 3, is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is if the parabola has indeed two real solutions.  

Parabolas can model many real-life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that an object, thrown upwards, can reach. For this reason, we want to be able to find the coordinates of the vertex.  

For any parabola, Ax2+Bx+C, the x -coordinate of the vertex is given by  -B/(2A). In our case, the  x  coordinate is  -0.8333  

Plugging into the parabola formula  -0.8333  for  x  we can calculate the  y -coordinate :  

 y = 3.0 * -0.83 * -0.83 + 5.0 * -0.83 - 3.0

or   y = -5.083

Parabola, Graphing Vertex, and X-Intercepts :

Root plot for :  y = 3x2+5x-3

Axis of Symmetry (dashed)  {x}={-0.83}  

Vertex at  {x,y} = {-0.83,-5.08}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = {-2.14, 0.00}  

Root 2 at  {x,y} = { 0.47, 0.00}  

Solve Quadratic Equation by Completing The Square

4.3     Solving   3x2+5x-3 = 0 by Completing The Square.

Divide both sides of the equation by  3  to have 1 as the coefficient of the first term :

  x2+(5/3)x-1 = 0

Add  1  to both side of the equation :

  x2+(5/3)x = 1

Now the clever bit: Take the coefficient of  x, which is  5/3, divide by two, giving  5/6, and finally square it giving  25/36  

Add  25/36  to both sides of the equation :

 On the right-hand side we have :

  1  +  25/36    or,  (1/1)+(25/36)  

 The common denominator of the two fractions is  36   Adding  (36/36)+(25/36)  gives  61/36  

 So adding to both sides we finally get :

  x2+(5/3)x+(25/36) = 61/36

Adding  25/36  has completed the left-hand side into a perfect square :

  x2+(5/3)x+(25/36)  =

  (x+(5/6)) • (x+(5/6))  =

 (x+(5/6))2

Things which are equal to the same thing are also equal to one another. Since

  x2+(5/3)x+(25/36) = 61/36 and

  x2+(5/3)x+(25/36) = (x+(5/6))2

then, according to the law of transitivity,

  (x+(5/6))2 = 61/36

We'll refer to this Equation as  Eq. #4.3.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/6))2   is

  (x+(5/6))2/2 =

 (x+(5/6))1 =

  x+(5/6)

Now, applying the Square Root Principle to  Eq. #4.3.1  we get:

  x+(5/6) = √ 61/36

Subtract  5/6  from both sides to obtain:

  x = -5/6 + √ 61/36

Since a square root has two values, one positive and the other negative

  x2 + (5/3)x - 1 = 0

  has two solutions:

 x = -5/6 + √ 61/36

  or

 x = -5/6 - √ 61/36

Note that  √ 61/36 can be written as

 √ 61  / √ 36   which is √ 61  / 6

Solve Quadratic Equation using the Quadratic Formula

4.4     Solving    3x2+5x-3 = 0 by the Quadratic Formula.

According to the Quadratic Formula,  x, the solution for   Ax2+Bx+C  = 0, where  A, B,  and  C are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     3

                     B   =    5

                     C   =   -3

Accordingly,  B2  -  4AC   =

                    25 - (-36) =

                    61

Applying the quadratic formula :

              -5 ± √ 61

  x  =    —————

                   6

 √ 61, rounded to 4 decimal digits, is   7.8102

So now we are looking at:

          x  =  ( -5 ±  7.810 ) / 6

Two real solutions:

x =(-5+√61)/6= 0.468

or:

x =(-5-√61)/6=-2.135

HOPE THIS HELPS!

PLEASE MARK BRAINLIEST IF THIS HELPED YOU LEARN! :)

Number of student lunch today is 450 students

Given:

Fraction of student lunch today = 5/8

Total number student = 720 students

Find:

Number of student lunch today

Computation:

Number of student lunch today = Fraction of student lunch today × Total number student

Number of student lunch today = (5/8) × (720)

Number of student lunch today = (5) × (90)

Number of student lunch today = 450 students

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[tex]( \frac{ - 3 + 3}{2} \: , \: \frac{ - 2 + 2}{2} ) = ( \frac{0}{2} \: , \: \frac{0}{2} ) = \\ [/tex]

[tex](0 \: , \: 0)[/tex]

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The correct answer is (( C )) .

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Answer:

78

Step-by-step explanation:

5,644 divided by 9 = 627

5,644 divided by 8 = 705

705 - 627 = 78

Hope this helps

mark brainliest please

Answer:

She will have to work at least 83 times.

Step-by-step explanation:

Divide 1,500 by 180 and then to check answer multiply 180 with 83.

Answer:

he needs about 137.92 I guess

Answer: D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

m = 5-(-3) / -2-2

m = 5+3/-4

m = 8/-4

m = 2/-1

m = -2