One spring day, Aisha noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 52° F. For the next 6 hours, the temperature rose 1° per hour. For the next 5 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 3° per hour. The temperature then dropped steadily until the temperature was 66° at midnight. On the set of axes below, graph Aisha's data.

Answer:

As an improper fraction, the answer is 14/5, and as a mixed fraction, the answer is 2 4/5.

Step-by-step explanation:

Answer:

.006453

Step-by-step explanation:

6.453 x 10^-3

Move the decimal 3 places to the left since the exponent is negative

006.453

.006453

Answer:

Yes, 30 would be your outlier.

Step-by-step explanation:

The rest of the numbers are closer and 30 is far away from the rest.

The resulting temperature was 25oF.

We know x = 4 + y  (1)

So 2x - 3y = 1  

<=> 2.(4 + y) - 3y = 1

<=> 8 + 2y - 3y = 1

<=> 8 - y = 1

<=> y = 8 - 1

<=> y = 7  (2)

move (2) to (1) : x = 7 + 4 = 11

ok done. Thank to me :>

Answer:

140922

Step-by-step explanation:

48900/34.7 = 1409.2219

1409.2219 *100 = 140922.19

rounded - 140922

Answer:

0.62982 monthly price increase

Step-by-step explanation:

Answer:

[tex]x<12[/tex]

Step-by-step explanation:

[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]

Option A is correct, x<12 represents the solution set of 5(x+5) <85

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 5(x+5) <85

We have to find the solution set of the given inequality

Five times of x plus five less than eight five.

Apply distributive property

5x+25<85

Subtract 25 from both sides

5x<85-25

5x<60

Divide both sides by 5

x<12

Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85

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On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.

To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.

Now, the conversion factor cm and mm is

1 cm = 10 mm

Then, using the conversion factor convert 12 cm to mm

12 cm = 12 x 10 mm

         = 120 mm

Now, compare 120 mm and 102 mm which gives 120 mm is greater.

Thus, 12 cm is greater than 102 mm.

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Answer:

x > -5.25

Step-by-step explanation:

Answer:

only D as the correct answer

Step-by-step explanation:

The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.

A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.

This leaves only D as the correct answer.

Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

A similar problem is given at brainly.com/question/24626341

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

2p -2

Step-by-step explanation:

To find the perimeter, add up all the lengths of each side of the rectangle.

Perimeter

= 2 +2 +p -3 +p -3

= 2 +2 -3 -3 +p +p

= -2 +2p

= 2p -2

Answer:

x = 11

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.

In an isosceles triangle there is a base and two equal legs

Perimeter = (x)  + (5x - 5) = (5x - 5)

            111 = 11x -10

           111 + 10 = 11x

            121 = 11x

            [tex]\frac{121}{11} =\frac{11x}{11}[/tex]

               x = 11

Answer:

Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded

Step-by-step explanation:

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

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Answer:

y=(12-x)/4

Step-by-step explanation:

subtract x on both sides, then divide by four

Answer:

Step-by-step explanation:

Slope intercept form: y = mx +b

x +4y = 12

    4y = -x + 12

Divide the entire equation by 4

[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]

Answer: -42

Step-by-step explanation:

If X = -7

Then:

= 5(-7) - 7

= -35 - 7

= -42

Hope it helps:)

Answer:

solutions are all values greater than 6

Step-by-step explanation:

add 15 to each side to get:

3x > 18

divide each side by 3 to get:

x > 6

solutions are all values greater than 6

That would be linear because its going at a constant rate of change

Answer:

May we assume "f-'(x)" means the fiurst derivative of f(x)?  I'm not sure what f-'(x) sign means, if not that.  The answer assume this is the first derivative.  No graphs are shown, so I'll add one.

Step-by-step explanation:

f(x) = 2x + 3

f'(x) = 2

The graph would be a staight vertical line through x=2.  The slope of the line f(x) = 2x + 3 is 2

Answer:

10 sheets of paper are striped

Step-by-step explanation: Make a proportional relationship.

20% as a fraction is 20/100

Make 50 into a fraction using a variable. For example, x/50

Cross multiply 20 and 50. That equals 1000.

Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.

Hope this helps!

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

Answer:

  22

Step-by-step explanation:

The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.

There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.

__

200/18 = 11 remainder 2

Answer:

1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00

Step-by-step explanation:

The length is 5 units.

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

Answer:

m can be -9

Step-by-step explanation:

-4+10m < -68

10m < -64

m < -6.4

using this statement, m can be any value less than -6.4, such as -9.

Answer:

  CD = 32 units

Step-by-step explanation:

The midpoint divides the segment into congruent parts:

  CM = MD

  8(x -2) = 4(5x -16)

  2(x -2) = 5x -16 . . . . . . divide by 4

  2x -4 = 5x -16 . . . . . . . eliminate parentheses

  12 = 3x . . . . . . . . . . . . . add 16-2x to both sides

  4 = x . . . . . . . . . . . . . . . divide by 3

Then the segment measures are ...

  CM = 8(x -2) = 8(4 -2) = 16

CD is twice that length. CD = 32 units.

_____

Additional comment

There are many ways to solve equations like this. The one usually recommended is to simplify it first. That generally means eliminating parentheses and collecting terms. Doing that would give ...

  8x -16 = 20x -64

Since there is a common factor of 4 on both sides, we can divide by that, making the numbers smaller and eliminating one set of parentheses.

Of course, the properties of equality require that whatever operation you perform on one side of the equal sign must also be done on the other side. So "divide by 4" means "divide by 4 on each side of the equal sign."