If lines and and cd are parallel,which if the following statements are true?

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:

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:  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:

65 degrees

Step-by-step explanation:

Alternate interior angle therom

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

Answer:

Uh, is what correct or no

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Converting to vertex form

Answer:

Step-by-step explanation:

hello :

Polynomial:2x²+x-210 =0

Equation : x(2x+1)=210

Answer:

37.5 kmph

Step-by-step explanation:

150km ÷ 4hr = 37.5kmph

Answer:

37.5 km/hr

Step-by-step explanation:

The trip took 4 hours to travel 150 km.

To find the average rate you have to divide 150 km by the time it took for them to travel that distance (4 hours) to find how far they travelled in one hour.

EQUATION: 150 km ÷ 4 hrs = 37.5 km

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

#SPJ2

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:

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:

no

Step-by-step explanation:

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

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:

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)

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!!

Please mark brainliest and rate!!

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:

Step-by-step explanation:

Answer:

Consider the sequence

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

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:

[tex] 6x + 4 = 12x - 20 [/tex]

[tex] x = 4 [/tex]

Step-by-step explanation:

Let "x" be the number.

Product of 6 and x (6*x), increased by 4 = [tex] 6x + 4 [/tex]

Product of 12 and x, (12*x), decreased by 20 = [tex] 12x - 20 [/tex].

Set both expressions equal to each other and solve for x as shown below:

[tex] 6x + 4 = 12x - 20 [/tex] (equation)

Subtract 12 from both sides

[tex] 6x + 4 - 12x = 12x - 20 - 12x [/tex]

[tex] -6x + 4 = -20 [/tex]

Subtract 4 from both sides

[tex] -6x + 4 - 4 = -20 - 4 [/tex]

[tex] -6x = -24 [/tex]

Divide both sides by -6

[tex] \frac{-6x}{-6} = \frac{-24}{-6} [/tex]

[tex] x = 4 [/tex]

Answer:

10.0 but if you want it in fraction it is 0.100

Step-by-step explanation:

Step 1:

[tex]1.0 \times 10.0[/tex]

Step 2:

[tex] = \dfrac{10}{10} \times \dfrac{100}{10} [/tex]

To make them in fraction we have to remove decimals

Step 3:

[tex] = \dfrac{1000}{100} [/tex]

Step 4:

[tex] = \dfrac{10}{1}✓[/tex]

Answer:

11

Step-by-step explanation:

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

Plz mark brainliest :)

Answer:

1.131

Step-by-step explanation:

Answer:  0.15 times 7.54 is 1.131

Answer:

d

Step-by-step explanation:

use calculator

Answer:

x=12

Step-by-step explanation:

because 12-5=7 and do the other math and the answer is there