Researchers recorded that a certain bacteria population declined from 170,000 to 200 in 42 hours. At this rate of decay, how many bacteria was there at 24 hours? Round to the nearest whole number.

Answer:

[tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Step-by-step explanation:

Vertical stretch or shrink

[tex]y=c \cdot f(x)[/tex]

a stretch by a factor of c if  c>1

a shrink by a factor of c if c<1

c is the factor

We are given that factor = 1/6 <1

So, Vertical shrink

So, [tex]y = \frac{1}{6} \cdot f(x)[/tex]

We are given that [tex]f(x) = (x + 1)^2[/tex]

So,[tex]y=\frac{1}{6}(x+1)^2[/tex]

Option D is true

Hence [tex]y=\frac{1}{6}(x+1)^2[/tex] is the result of vertically shrinking

Answer:

ƒ(x) = (1∕6x + 1)^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Value of a cube = length*height*width

Value of a cube = 44*45*43

                          = 85140

I hope it'll help you much

Thank you for asking

Answer:

the second option

Step-by-step explanation:

The graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

To graph the circle x² + y² + 16x - 16y + 124 = 0, we first need to rewrite it in standard form:

x² + 16x + y² - 16y + 124 = 0

(x² + 16x + 64) + (y² - 16y + 64) = -124 + 64 + 64

(x + 8)² + (y - 8)² = 4

Now we can see that the circle has center (-8, 8) and radius 2.

To graph it, we can plot the center point and then draw a circle with radius 2 around it.

Hence, the graph of circle x² + y² + 16x - 16y + 124 = 0 is attached and circle has centre (-8, 8) and radius 2.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

Answer:

99, 103, 91, 104, 109, 107, 97

Step-by-step explanation:

The bold is the outlier

113, 115, 103, 154, 109, 111, 119

141, 151, 111, 142, 149, 140, 150

131, 135, 131, 99, 138, 136, 140

Answer:

Area of GPH = pi x 15^2 x 40/360 = 78.54 (yd2)

Hope this helps!

Answer:

78.5 yards²

Step-by-step explanation:

Area of a sector:

Theta/360 × pi × r²

40/360 × 3.14 × 15²

78.5 yd²

Look at the attached picture

hope it will be helpful to you..

Answer:

13

Step-by-step explanation:

70 - 5 = 65

125 - 8 = 117

Find the Greatest Common Divisor of 65 & 117

65 = 5 * 13

117 = 3 * 3 * 13

GCD = 13

13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively

Answer:

16.67

Step-by-step explanation:

Answer:

16.67

Step-by-step explanation:

70:420*100 =

(70*100):420 =

7000:420 = 16.67

Answer:

8z^3-36z^2+54z-27

Step-by-step explanation:

(2z-3)^3

(2z)^3*(2z)^2*3+3*2z*3^2-3^3

8z^3-3*4z^2*3+3*2z*9-27

8z^3-36z^2+54z-27

Answer:

[tex]8z^3-36z^2+54z-27[/tex]

Step-by-step explanation:

[tex](2z-3)^3\\(2z-3)(4z^2-12z+9)\\2z(4z^2-12z+9)-3(4z^2-12z+9)\\8z^3-24z^2+18z-12z^2+36z-27\\8z^3-36z^2+54z-27[/tex]

Answer:

73°

Step-by-step explanation:

the measure of two complementary angles add up to 90

so We need to solve this equation to get the measure of its complementary angle :

x + 17 = 90

then

x = 90 - 17

  = 73

Answer:

X = 4

Step-by-step explanation:

-5/6x = -10/3

x = -10/3 * -6/5

x = 60/15

x = 4

Answer:

The result for this equation is [tex]x =4[/tex] .

Step-by-step explanation:

Solve the equation for [tex]x[/tex] :

[tex]-\frac{5}{6}x =-\frac{10}{3}[/tex]

[tex]\frac{-\frac{5}{6}x }{-\frac{5}{6} } =\frac{-\frac{10}{3} }{-\frac{5}{6} }[/tex]

[tex]x = 4[/tex]

So, the answer for this equation is [tex]x =4[/tex]  .

Answer:

C. Slope and [tex]10.49 g/cm^3[/tex]

Step-by-step explanation:

We're missing the graph itself, but I can make an educated guess:

- Assuming x = volume and y = mass:

[tex]p = \frac{m}{v}[/tex]

density = mass/volume

x = volume = run

y = mass = rise

mass/volume = rise/run = slope

The slope of the line (assuming the graph is purely linear) represents mass/volume, which is the formula for density.

I had to Google the density of silver itself. Do the math from the graph for a more appropriate answer, as the graph may be less scientifically precise.

cAnswer:

Step-by-step explanation:

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

180-88=92

Supplementary angles equal 180 degrees

Answer:

92 degrees

Step-by-step explanation:

180-88=92

Answer:

1185 bin

Step-by-step explanation:

i rounded so i and i multiply and didved and i got that i got 1185 bin

Answer:

x-3/x+4 ÷ x^2-1/x  ; x ≠ -4, 0

Step-by-step explanation:

x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->

(x-3)/(x-4) * x/(x^2-1) -->

((x-3)(x))/((x-4)(x-1)(x+1))-->

No way to simplify it further-->

x-3/x+4 ÷ x^2-1/x

I hope this helps you

Answer:

To begin to answer your question you would need to know that the formula for the volume of a rectangular prism is the following: [tex]V=lwh[/tex]. Now its just a manner of substitutions.

Step-by-step explanation:

[tex]V=605 \text{in}^3[/tex]

Then one can also state the following:

[tex]V=(x+2)(4x-1)(2x+5)[/tex]

Following up with this substitution:

[tex]605=(x+2)(4x-1)(2x+5)[/tex]

Proceeding with a FOIL procedure:

[tex]605=(4x^2+8x-x-2)(2x+5)[/tex]

[tex]605=8x^{3}+34x^{2}+31x-10[/tex]

[tex]0=8x^{3}+34x^{2}+31x-615[/tex]

Using PRZs:

[tex]PRZs=\frac{\text{Factors of Constant Term}}{\text{Factors of Highest Power}}=\frac{\pm 1,\pm 3, \pm 5, \pm 41, \pm 615}{\pm 1, \pm 2, \pm 4, \pm 8}[/tex]

By graphing it one can identify that 3 is a solution so plugging it in and using synthetic division.

[tex]\begin{array}{ccccc}3|& 8 & 34 & 31 & -615\\ \ \ |& & 24 & 174 & 615 \\ & 8 & 58 & 205 &0 \end{array}\\[/tex]

Giving the following the polynomial:

[tex]0=(x-3)(8x^2+58x+205)[/tex]

Now one can evaluate the discriminant of that quadratic:

[tex]58^2-4(8)(205)=-3196[/tex]

Because it is negative one knows that it produces imaginary solutions. Therefore the only real solution is [tex]x=3[/tex]. Therefore the dimension of the box is the following: [tex]5\text{in},11\text{in}, 11\text{in}[/tex]

Answer: - √2

Step-by-step explanation:

Answer:

He scored 65 points in his last two games

Step-by-step explanation:

Here, we want to calculate the number of points Benny scored in his last two games.

We must understand that his last two games correspond to the games he played on Monday and on Friday

So to get his total points in the last two games, what we do is that we add both points together

Mathematically, that would be 19 + 46 = 65 points

8 1/4 should be the answer

Answer:

8 1/4

Step-by-step explanation:

33/4 simplified is 8 1/4

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

A(max) = 5000 m²

Dimensions:

x = 50 m

l  = 100 m

Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

A(r) = x* l     and the perimeter of the rectangular shape is

P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

Answer:

Sorry man i dont know they answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

see attachment

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.

Answer:

Step-by-step explanation:

3.2 times 1.5  plus 6 times4.2= 30 meters of carpet.

Answer:

He needs 23.7 of carpet

Step-by-step explanation:

multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.

Question :

The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.

Answer: 7.62cm

Step-by-step explanation:

Given the following :

Width = 6cm

Depth = 4cm

Vertical height = 7cm

Splitting the face of the prism into two:

Thus the width becoming 6cm/2 = 3cm and vertical height = 7cm

Using Pythagoras ;

The side edge 's' equals

s^2 = width^2 + height^2

s = √(width^2 + height^2)

s = √(3^2 + 7^2

s = √9 + 49

s = √58

s = 7.62cm

Answer:

7.6

Step-by-step explanation:

the person above is correct, i took the test on khan, but you have to round to the nearest tenth

Answer:

The answer is 541.8 cm³

Step-by-step explanation:

you just have to multiply the measures of each side:

(8.8)(4.7)(13.1) = 541.8

Answer:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Step-by-step explanation:

For this case we know that the amount of money 'y' made at a laundromat after 'x' months can be represented by the linear function:

[tex] y = 8.50 x -5[/tex]

And fter two months we know that the laundromat made 20 dollars. And if we use the linear function we got:

[tex] \hat y = 8.5*2 -5 = 12[/tex]

And the residual is defined as:

[tex] e_ i = y_i -\hat y_i [/tex]

And replacing we got:

[tex] e_i = 20-12 = 8[/tex]

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them