As part of a science experiment, a student observes the growth of a population of bacteria in four different media. The table below lists the observations the student made. Medium 1 Observation Population increases by 10 every hour Population decreases by 10 every hour Population increases by 10% every hour Population decreases by 10% every hour TIL IV In which media can the change in the population of bacteria be modeled by a linear function?​

9514 1404 393

Answer:

  (a)  84°

Step-by-step explanation:

If the upper side of angle 1 is extended so that it crosses the lower parallel, the angle it makes there corresponds to the one marked 51°, so is also 51°. That makes angle 1 the exterior angle of a triangle with remote interior angles of 51° and 33°. Angle 1 is the sum of those angles:

  ∠1 = 51° +33° = 84°

_____

Alternate solution

Draw a line through the vertex of angle 1 parallel to the other two parallel lines. The lower half of angle 1 is then an alternate interior angle to the one marked 33°, so is 33°. The upper half of angle 1 is a corresponding angle to the one marked 51°, so is 51°. That makes angle 1 be the sum of 33° and 51° angles, so 84°.

Hey there!

The answer to your question is (6, -2)

To solve for substitution, we simply make the right side of the equations equal to each other:

[tex]x-8=2x-14[/tex]

Add [tex]14[/tex] to both sides:

[tex]x + 6 = 2x[/tex]

Subtract [tex]x[/tex] from both sides

[tex]6=x[/tex]

Now, we have to solve for [tex]y[/tex], and we can do so by plugging in the value of [tex]x[/tex] in to one of the equations:

[tex]y = 6 - 8[/tex]

[tex]y = -2[/tex]

Therefore, your solution is (6, -2)

Have a terrificly amazing day!

Answer:

2pir^2 + 2pirh

2(pi)(3.2)^2+2pi(3.2)(8)

=225.19

=225.2

Answer:

r = 10 or -10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]let\\T = ax+b\\(x, T) = (6, 76) => 6a+b = 76\\(x, T) = (12, 49) => 12a+b = 49\\Subtract\\6a = -27 => a = -4.5\\Substitute\\b = 76+27=103\\\\T = -4.5x + 103[/tex]

Answer:

c) -4.5 x +103

Step-by-step explanation:

Answer:

B, C, A, B

Step-by-step explanation:

i. 60+ 10 +110 = 180 ( so it can be scalene)

ii. 60 +120 =180 ( they have to, to make a triangle)

iii. Obtuse is 90 degrees or more

iv. 90 +60+30=180 (so it can be)

Answer:

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

Step-by-step explanation:

Given that:

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

t = number of hours

A = 35 - 4t       Eqn 1

B = 50 - 7t       Eqn 2

At same height,

Eqn 1 = Eqn 2

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

Dividing both sides by 3

[tex]\frac{3t}{3}=\frac{15}{3}\\t=5[/tex]

Putting t=5 in both equations

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

Hence,

A = 35 - 4t

B = 50 - 7t

Height = 15 inches

The equation should be

A = 35 - 4t

B = 50 - 7t

And, the Height = 15 inches

Since

Height of snowman A = 35 inches

Height of snowman B = 50 inches

Height decrease of snowman A = 4 inches per hour

Height decrease of snowman B = 7 inches per hour

Here, t = number of hours

So, the equation should be

A = 35 - 4t      

B = 50 - 7t      

Now for the same height

35 - 4t = 50 - 7t

-4t + 7t = 50 - 35

3t = 15

t = 15

So,

A = 35 - 4(5) = 35 - 20 = 15 inches

B = 50 - 7(5) = 50 - 35 = 15 inches

learn more about height here: https://brainly.com/question/17231109

The area of the triangle will be 5/8 square feet.

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 ΔABC.

In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Given is a triangle as shown in the image.

Now, the area of triangle will can be written as -

[A] = 1/2 x [b] x [h]

[A] = 1/2 x 5/3 x 3/4

[A] = 1/2 x 5/4

[A] = 5/8 square feet

Therefore, the area of the triangle will be 5/8 square feet.

To solve more questions on angles and triangles, visit the link below -

brainly.com/question/18584968

#SPJ2

Answer:

1/2y+3/2

2y+-1/2

-3/2b-2x+5

Step-by-step explanation:

Answer:

Thus, f and g are inverse functions

Step-by-step explanation:

Inverse Functions

If two functions f(x) and g(x) are inverses, then it follows that:

[tex]f\circ g(x)=x[/tex]

Or:

[tex]g\circ f(x)=x[/tex]

We are given

[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]

[tex]g(x)=4x+24[/tex]

Let's test if they are inverse functions:

[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]

Simplifying:

[tex]f\circ g(x)=x+6-6=x[/tex]

Now find:

[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]

Operating:

[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]

Thus, f and g are inverse functions

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:

16 x 0.5 = 8

16 x -0.75 = -12

16 x 2 = 32

Answer:

16(0.5x - 0.75y + 2)

Step-by-step explanation:-

1. 16 x 0.5 = 8

2. 16 x -0.75 = -12

3. 16 x 2 = 32

Answer:

C ≤ 2,000 calories

Step-by-step explanation:

Here, we want to write an inequality

Let the number of amount of calories to be consumed be C

The term at most means that it cannot pass 2,000

Hence, it must be lesser than this

So the inequality will be;

C ≤ 2,000 calories

Answer:

1/2(8x-6)=-1/3(9x-12)

We move all terms to the left:

1/2(8x-6)-(-1/3(9x-12))=0

Domain of the equation: 2(8x-6)!=0

x∈R

Domain of the equation: 3(9x-12))!=0

x∈R

We calculate fractions

(3x9/(2(8x-6)*3(9x-12)))+(-(-2x8)/(2(8x-6)*3(9x-12)))=0

We calculate terms in parentheses: +(3x9/(2(8x-6)*3(9x-12))), so:

3x9/(2(8x-6)*3(9x-12))

We multiply all the terms by the denominator

3x9

We add all the numbers together, and all the variables

3x^9

We do not support expression: x^9    

I would appreaciate   if i got brainliest  

Answer:

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

Step-by-step explanation:

Explanation

Given that the first term is -10 and common difference d = 2

we know that the sequence in A.P

a ,a+d ,a+2d,a+3d ,a+4d...........  are in AP

-10, -10+2,  -10+2(2),  -10+3(2) , -10+4(2)..................

-10 , -8 , -6 , -4 ,-2 ..........

Final answer:-

The first five terms of the arithmetic sequence.

-10 , -8 , -6 , -4 ,-2 ..........

Answer:

the slope is infinite or undefined

Step-by-step explanation:

y2-y1/x2-x1=3/0

- this is a simple interest question, so you should know the formula for this.

simple interest: i = prt

i - interest

p - principle amount (deposit)

r - rate

t - time in years

the problem: -- this is a two step question, since its asking for the balance.

i = prt

i = 10,000(0.07)(8)

i = 5600

- remember this is just the interest, NOT the balance.

to find the balance:

5600 + 10000 = 15600

FINAL ANSWER:

$15,600

-- let me know if you have any questions regarding this.

Answer:

people fall in love in a serois way.

Step-by-step explanation:

Answer:

y=-3

x=1

(1,-3)

Step-by-step explanation:

5x+4y=-7

-5x-2y=1

Cancel +5x - 5

     2y=-6

      y=-3

5x-12=-7   or    -5x+6=1

5x=5                -5x=-5

x=1                     x=1

Answer:

y = -3, x = 1

or

(1, -3)

Step-by-step explanation:

5x + 4y = -7

-5x - 2y = 1

add the two equations together

0x + 2y = -6

2y = -6

2y/2 = -6/2

y = -6/2

y = -3

now substitute y = -3 into either of the equations

5x + 4y = -7

5x + 4(-3) = -7

5x - 12 = -7

5x = -7 + 12

5x = 5

x = 1

Answer:

Quantity A is greater.

Step-by-step explanation:

Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.

Answer:

its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3

Answer:

r = 1.9

Step-by-step explanation:

7r + 7 = 20.3

    - 7      - 7  

7r = 13.3

divide by 7

r = 1.9

Answer:

r = 1.9

Step-by-step explanation:

7(r + 1) = 20.3

Multiply the parenthesis by 7:

7r + 7 = 20.3

Subtract 7 from each side:

7r = 13.3

Divide 13.3 by 7 to find r:

r = 1.9

Answer:

503.8

Step-by-step explanation:

Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.

Answer:

503.8

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Let x rep right handed

Then,

5/8× x

= 5x/8

Since 4/5 are boys

1 - 4/5

1/4

Then,

5x/8 = 1/4

20x = 8

x = 8/20

x = 2/5

Therefore, the fraction of the girls in the school that are left handed is 2/5

Answer:

2. x-intercepts:(1,0),(-1,0) y-intercept:(0,1)

3.x-intercepts:(0,0),(1/2,0),(-4,0),(1,0) y-intercept:(0,0)

4.x-intercepts:(2,0),(-2,0) y-intercept:(0,8)

5.x-intercepts:(-2,0),(-5,0),(3,0),(4,0) y-intercept:(0,120)

Answer:

3

Step-by-step explanation:

Because the ratio is 2:1, you would divide the number of red parts by 2.

Answer:

She will need 3 parts white paint

Step-by-step explanation:

Lets make a proportion:

2 : 1

6 : x

We know that 2 = 6 in this problem are the same values, red paint

6/2 = 3 3 IS THE CONSTANT OF PROPORITIONALITY

Now, 1 x 3 = 3

1 = 3 in this problem are the same values, white paint

SHE NEEDS 3 PARTS WHITE PAINT

Answer:

We were given the equation of a rainbow, which follows a parabolic path, which is

By comparing to the vertex form,

We have the vertex at (h,k)=(1,6)

Since a=-0.1<0, the parabola opens down.

At y-intercept, x=0.

Step-by-step explanation: