What gradient is shown on the graph

Answer:

A) f'(t) is negative

B) degc/min

c ) At 20 minutes after the coffee was put on the counter its temperature is  56degc   and will decrease by about  1.125   in the next 45 seconds

Step-by-step explanation:

A ) f'(t)  is Negative because as the cup of coffee is placed on the counter there is loss of heat from the cup of coffee to the surrounding as t increases hence f'(t) is negative

B ) The units of  f'(20) = degc/min

C)  At ║f'(20)║ = 1.5 and f'(20) = 56

  ║f'(20)║ = 1.5 represents the rate of change of temp every 20 minutes = 1.5

  therefore after 45 seconds = 3/4 mins. change in temp = (3/4 * 1.5) = 1.125

At 20 minutes after the coffee was put on the counter its temperature is  56degc   and will decrease by about  1.125   in the next 45 seconds

Answer: 4x + 30

Steps: x + (x + 30) + 2x​

Remove the parentheses: x + x + 30 + 2x

Group like terms: x + x + 2x + 30

Add similar elements: 4x + 30

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Answer:  27

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

Work Shown:

a = -3

a^2 = (-3)^2 .... squaring both sides

a^2 = 9

3a^2 = 3*9 .... multiply both sides by 3

3a^2 = 27

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

Or you could do it this way

3a^2 = 3(-3)^2 ... replace 'a' with -3

3a^2 = 3(9)

3a^2 = 27

Answer:

Last Option

Step-by-step explanation:

For this to be true, everyone who works at school must be getting a wage of 8$ so the hourly range of working students at the school IS 8$

Answer:

65 degrees

Step-by-step explanation:

Alternate interior angle therom

Answer:

Consider the sequence

12,4,14,7,18 ,10,⋯. Calculate the sum of the first 50 y terms of that sequence

Answer:

no

Step-by-step explanation:

the sum of all 3 angles does not add up to 180 degrees, so no

Answer:

C (lower left corner)

Step-by-step explanation:

Lower extreme: 67

Upper extreme: 75

Median: 70

Upper quartile: 73

Lower quatile: 69

Have a great day!!

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Answer:

9n + 11

Step-by-step explanation:

Solve the following;

(4 n+ 5 ) + (3 + 8 – 6)

(4 n+ 3) + 5 n+ 8 - 6

Solve;

~~~~~~~~~~~~~~~~~~~~

(4n + 3) + 5n + 8 - 6

4n + 3 +5n + 2

9n + 5

~~~~~~~~~~~~~~~~~~~~

(4n + 5n) + (3 + 8 - 6)

9n + 5

~~~~~~~~~~~~~~~~~~~~

Hence, out of these expression 9n + 11 is not equivalent to the others

~Learn with Lenvy~

Hey there!

Solve all equations

=> 9n + 11

= 9n +11

=> 9n +3 +2

=9n + 5

=> (4n +5) + (3+8-6)

= 4n + 5 + 3 + 8 - 6

= 4n + 16 -6

= 4n + 10

=> 4n+3+5n+8−6

=4n+3+5n+8+−6

Combine Like Terms:

=4n+3+5n+8+−6

=(4n+5n)+(3+8+−6)

=9n+5

Therefore, expressions that is equivalent to the others are 9n + 11 and (4 n+ 5 ) + (3 + 8 – 6)

The answer is -1331 because if you multiply -11x-11x-11 you get -1331.

Answer:

-1331

Step-by-step explanation:

Because i have a calculator

Answer:

12 full levels

Step-by-step explanation:

There are multiple ways to do this, what I prefer is recursion

Let's define a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)

f(1)=3

f(2)=9

f(3)=18

f(4) =30

Etc Etc...

Eventually we can see that for every level x×3 toothpicks are added to f(x-1), so

f(x) = 3*x + f(x-1), so this becomes a geometric sequence 3*(1+2+3...+x)

Now we want to find out how many levels 250 toothpicks can make

250=3*(1+2+3+4..+x)

250/3 = 1+2+3...

I assume you want full levels so I will round down the answer, the closest you can get to 250/3 is (1+2+3...12)

So 12 full levels and a bit of extra toothpicks left

There are 12 full levels it will make.

Take a traingle. This is a base. Now take 3 triangles such that each of them are connected to one-one side of the first traingle and when they're taken together, they form a closed object, called as a triangular pyramid.

here a equation which helps us determine the number of toothpicks of a pyramid with x levels f(x)

f(1)=3

f(2)=9

f(3)=18

f(4) =30

we can see that for every level x×3 toothpicks are added to f(x-1), so

f(x) = 3x + f(x-1), so geometric sequence 3*(1+2+3...+x)

Now we want to find out how many levels 250 toothpicks can make;

250=3*(1+2+3+4..+x)

250/3 = 1+2+3...

Thus, the closest we can get to 250/3 is (1+2+3...12)

Hence,  12 full levels and a bit of extra toothpicks left

Learn more about pyramid here:

https://brainly.com/question/16261758

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Answer:

13)

Given:

x = 3

y = 1.5

We exchange these values into our equation (2x + 4y + 3x);

2x + 4y + 3x

Altered, would be:-

2(3) + 4(1.5) + 3(3)

6 + 6 + 9

= 21

15) First, we need to find the volume of the cube;

1/2(one side), but since all sides to a cube are equal we multiply that length by itself 3 times.

So;

1/2 x 1/2 x 1/2 = 1/8 is the volume of one cube.

Now we find the rectangular prism's volume, using the formula;

V(volume) = W x H x L

Where 'W' represents the width, 'H' represents the height, and 'L' represents the length.

Substitute these values in our formula:

V = W x H x L

V = 2 1/2 x 8 x 1/2

V = 5/2 x 8 x 1/2

V = 5/2 x 8/2

V = 5/2 x 4

V = 10

So now, we divide the total volume by the volume of one cube to get the total of how many cubes would be needed to fill this prism.

10 ÷ 1/8

10 x 8/1

10 x 8

= 80

Answer: x=35 and y=72.5

Step-by-step explanation:

Everything os 360, so x is 35 because it los like it has the same measure as the another 35, so if you substract 70 360=290 and 290/4 = 72.5

Answer: x^2 + 4x + 7

Step-by-step explanation:

Answer:

78.75 ft^2

Step-by-step explanation:

right triangle area

(6 X 20) ÷ 2 = 60 ft^2

left triangle area

do Pythagoras with 6 and 15:

√(15^2 - 6^2) ≈ 13.75

20 - 13.75 = 6.25

(6 X 6.25) ÷ 2 = 18.75 ft^2

total = 60 + 18.75

Step-by-step explanation:

[tex] \frac{ \tan(x) + \cot(x) }{ \cot(x) } [/tex]

[tex] \frac{ \tan(x) }{ \cot(x) } + 1[/tex]

[tex] \frac{ \frac{ \sin(x) }{ \cos(x) } }{ \frac{ \cos(x) }{ \sin(x) } } + 1[/tex]

[tex]{ \tan {}^{2} (x) } + 1[/tex]

[tex] = \sec {}^{2} (x) [/tex]

Answer:

b) y = - 1/4 x

Step-by-step explanation:

You can find the slope by using rise over run. And sense this is a negative line the slope must be negative as well.

Answer:

The equation of the line is y=-1/4x

Answer:

1.131

Step-by-step explanation:

Answer:  0.15 times 7.54 is 1.131

Answer:

Step-by-step explanation:

Given

Converting to vertex form

Answer:

11

Step-by-step explanation:

Answer:

π + 2

Step-by-step explanation:

x² + y² - 4x - 4y + 4 = 0

(x² - 4x + 4) + (y² - 4y + 4) + 4 - 4 - 4 = 0

(x - 2)² + (y - 2)² = 4

So the radius of the circle = 2, center C(2, 2)

Are a of AMNB = area of semi-circle  - area of segment AB

= area of semi-circle - (area of quarter circle ABC - area of triangle ABC)

= area of quarter circle ABC + area of triangle ABC

= π(2)²/4 + 2*2/2

= π + 2

Answer:

[tex]135^\circ[/tex]

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of [tex]60^\circ[/tex].

And a regular quadrilateral (square) has an interior angle of [tex]90^\circ[/tex].

Therefore, formula for interior angle of a regular polygon with [tex]n[/tex] number of sides can be given as:

[tex]\dfrac{n-2}{n}\times 180^\circ[/tex]

For an octagon, we have [tex]n=8[/tex].

Value of Interior angle in a regular octagon:

[tex]\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}[/tex]

Kindly refer to the attached image for the angle of [tex]135^\circ[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello :

Polynomial:2x²+x-210 =0

Equation : x(2x+1)=210