Suppose that a bacterial culture was known to double every 2 days. After 46 days, it covered the entire surface area in the petri dish. When did it cover half the area? Explain.

Answer:

Step-by-step explanation:

[tex]1 \frac{1}{2} + 2 \frac{1}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Convert the mixed number to an improper fraction

[tex] \frac{3}{2} + \frac{5}{2} \times \frac{3}{4} - \frac{1}{2} [/tex]

Multiply the fractions

[tex] \frac{3}{2} + \frac{15}{8} - \frac{1}{2} [/tex]

Calculate the sum

[tex] \frac{3 \times 4 + 15}{8} - \frac{1}{2} [/tex]

[tex] \frac{12 + 15}{8} - \frac{1}{2} [/tex]

Add the numbers

[tex] \frac{27}{8} - \frac{1}{2} [/tex]

Calculate the difference

[tex] \frac{27 - 1 \times 4}{8} [/tex]

[tex] \frac{27 - 4}{8} [/tex]

[tex] \frac{23}{8} [/tex]

Hope this helps...

Best regards!!

Answer:

UW=41

Step-by-step explanation:

the tangent line and the radius always meet at a right angle(90 degrees)

UWV is a right angle triangle, apply the Pythagorean theorem:

a²+b²=c² (a=40, b=9, c=UW)

40²+9²=c²

c=√40²+9²=√1600+81=√1681

c= 41

Answer:

(-5,0)

Step-by-step explanation:

In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number

For Decreasing:

(-8,-5)

(4,8)

For Increasing:

(-5,0)

as the exterior angle is known

sum of that angle and f angle = 180

142 + f = 180

f = 180 - 142

f = 38

Answer:

38

Step-by-step explanation:

Hope this helps you :)

Answer:

12.5% failed

Step-by-step explanation:

Convert the fraction 10 out of 80 into a decimal to become the percentage

Answer: 87.5% failed driving test is 12.5%

Step-by-step explanation:

Answer:

180°

Step-by-step explanation:

Answer:

180 =  arc JKM

Step-by-step explanation:

Angle JM is a straight line so the angle is 180

Central Angle = Intercepted Arc

angle JM = arc JKM

180 =  arc JKM

Answer:

It takes Carrie and James an hour and a half to finish the job.

Step-by-step explanation:

assuming they have to inspect ONE case of watches.

Carrie can inspect 1/5 case in one hour.

James can inspect 1/3 case in one hour.

Carrie worked alone for 1 hour, so she finished 1/5 of a case.

She leaves 4/5 case to finish.

She had lunch.

After that, Carrie and James worked together for x hours to finish the job.

When they work together, the finish 1/5+1/3 = 8/15 case per hour.

So time to finisher the remaining case

Time = 4/5 / (8/15)

= 4/5 * 15/8

= 3/2 hours

= an hour and a half.

Answer:

C. Same is not an orange belt and Kate is not a red belt.

Step-by-step explanation:

The negation for the statement is Sam is not an orange belt or Kate is not a red belt.

The negation of a conjunction is equivalent to the disjunction of the negation of the statements making up the conjunction. To negate an “and” statement, negate each part and change the “and” to “or”.

Given statement:

Sam is an orange belt and Kate is a red belt.

Now, to make the negation we have to consider the rule "To negate an “and” statement, negate each part and change the “and” to “or”."

So, the negation statement would be

Sam is not an orange belt or Kate is not a red belt.

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Answer:

A Yes, because every x value corresponds to exactly one y value

Step-by-step explanation:

A function has a one to one correspondence, or every x goes to only one y value

Since each x goes to only 1 y value this is a function

Answer: It is a function

Step-by-step explanation:

One way to tell if it is a function or not, is to look at the X and Y. While 2 different X values can get the same Y value, one X value should not have 2 different Y values. In the table you can see, there are no repeating X values that have different Y values.

EXAMPLES:

(14, 15)

(13,15)

If these two showed up in a table, it could still be a function

(14, 15)

(14, 16)

If these pairs showed up in a table, than it would not be considered a function

Answer:

the answer is to your question is 140

Answer:

140°

Step-by-step explanation:

9 - 2 = 7

7 x 180= 1260° (sum of all interior angles)

1260 ÷ 9= 140° (measure of one interior angle)

Answer:

(1,0) and (3,0)

Step-by-step explanation:

y=x^2-4x+3

To factor we need to know what numbers add up to -4 and multiply will equal to 3.

y=(x-3)(x-1)

The zeroes would be 3 and 1.

x=3  so y=0 for (x-3)

x=1 so y=0 for (x-1)

If right pls give me brainliest thank you.

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

[tex]y=x^2-4x+3[/tex]

Plug y as 0 to find the x-intercepts.

[tex]0=x^2-4x+3[/tex]

Factor right side.

[tex]0=x^2-1x-3x+3[/tex]

[tex]0=x(x-1)-3(x-1)[/tex]

[tex]0=(x-1)(x-3)[/tex]

Set factors equal to 0.

[tex]x-1=0\\x=1\\x-3=0\\x=3[/tex]

x=1 or x=3 when y=0

Answer:

The correct option is;

As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞

Step-by-step explanation:

The values given are;

x,      f(x)

-4,     18

-3,     9

-2,     6

-1,      3

0,      0

1,      -3

2,     -6

3,     -9

4,     -18

Based on the table, as the magnitude of x increases in the positive direction,  the magnitude of f(x) increases in the negative direction

Therefore, the correct option that best predicts the end behavior of the graph of f(x) is As x → ∞ f(x) → -∞, and  as x → -∞ f(x) →∞.

Answer:

the correct answer is the product of current value and amount owed

Equity is correctly defined as the difference between current value and amount owed.

Equity is defined as an interest (ownership interest) in property that may be offset by debts or other liabilities. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets owned

Given is to find the definition of Equity from the given ones.

Equity is correctly defined as the difference between current value and amount owed.

Therefore, Equity is correctly defined as the difference between current value and amount owed.

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The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

Answer:

Hello!!...

I hope its helpful to you...

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

Answer:

HL theorem

Step-by-step explanation:

Since this is a right triangle, we can use the HL ( hypotenuse leg theorem)

We know that one of the legs are equal to each other  by the lines on the legs and the hypotenuse is congruent by the reflexive property

Answer:

[tex] Area = 2,031ft^2 [/tex]

Total weight of gravel on the roof = [tex] 24,372 pounds [/tex]

Step-by-step Explanation:

The area Adams planned to cover with gravel can be divided into 3 rectangles as shown in the diagram attached.

We would have 3 rectangles. See the attachment below to check out how we arrive at the dimensions of the 3 rectangles.

Area of rectangle = L*W

Area to be covered by gravel = area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area to be covered with gravel = [tex] (30*17) + (13*9) + (52*27) [/tex]

[tex] Area = (30*17) + (13*9) + (52*27) = 2,031ft^2 [/tex]

Total weight of gravel on the roof = 12 pounds per square foot multiplied by total area of the roof to be covered = [tex] 12 * 2031 = 24,372 pounds [/tex]

Answer:

2031 and 16925

Step-by-step explanation:

Answer: 320 students

Step-by-step explanation:

From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.

When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:

= 16/90 × 1800

= 16 × 20

= 320 students

Answer:

-8 < x < -2

start number line at -10 and end it at 0

draw an open circle* over the dash indicating -8 and -2

connect the open circles

*open circle because it is less than and greater than, not less than or equal to and greater than or equal to

Answer:

-8<x<-2

Step-by-step explanation:

yw luv :D

Answer:

C (-3,2)

Step-by-step explanation:

Well point Q on the parabola is located on point (1,2),

The corresponding point means the point located all the way to the left of Q which is (-3,2).

Thus,

the point that is corresponding to point Q is C. (-3,2).

Hope this helps :)

Answer:

1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x ← is in slope- intercept form

with slope m = 1

Answer:

1

Step-by-step explanation:

Answer:

The total bill was $84

Step-by-step explanation:

Ok so we know a few things, we know that the total cost of the bill is divisible by both 6 and 4, and we know that if we call the total cost of the bill x and the amount each person would pay if it was divided for 6 people y we can write these equations:

[tex]\frac{x}{6}=y[/tex]

[tex]\frac{x}{4}=y+7[/tex]

Now we can substitute the first equation into the second and solve for x

[tex]\frac{x}{4}=\frac{x}{6}+7\\\frac{x}{4}-\frac{x}{6}=7\\\frac{x}{12}=7\\x=7*12=84[/tex]

Therefore, the total bill was $84

Answer:last one is the correct ans...

Step-by-step explanation:

Pleased to help u....

(x+2) + x + (x+4) = 2(1/2) + 2(x+3)

They are equal to each other and the rectangle has 2x more perimeter

The triangle would be divided in half from that rectangle.

Answer:

2[tex]x^{4}[/tex] + x³ - x² + 54x - 56

Step-by-step explanation:

Area (A) is calculated as

A = length × width

   = (x² - 2x + 8)(2x² + 5x - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x²(2x² + 5x - 7) - 2x(2x² + 5x - 7) + 8(2x² + 5x - 7) ← distribute all parenthesis

= 2[tex]x^{4}[/tex] + 5x³ - 7x² - 4x³ - 10x² + 14x + 16x² + 40x - 56 ← collect like terms, thus

A = 2[tex]x^{4}[/tex] +x³ - x² + 54x - 56

The expression which represents the area of Dylan’s room will be 2x⁴ - 7x³ - 21x² + 82x - 56.

What is the area?

The area is the space occupied by any shape, find out by multiplying its length and breadth.

We have,

Lenght =  (x² – 2x + 8)

and

Breadth = (2x² + 5x – 7)

Now, simplifying the above expressions,

(x² – 2x + 8)

It can be written as , Using middle term split method,

x² – 4x + 2x + 8

= x(x – 4) - 2(x - 4)

= (x – 4) (x - 2)

In the same way,

(2x² + 5x – 7)

= 2x² +7x  - 2x – 7

= x(2x +7)  - 1(2x + 7)

= (x - 1) (2x +7)

So,

So,

Using the area formula,

i.e.

Area = Length × Breadth

Area =  (x² – 2x + 8) ×  (2x² + 5x – 7) = (x – 4) (x - 2) (x - 1) (2x +7)

Now,

Area = 2x⁴ - 7x³ - 21x² + 82x - 56

Hence we can say that the expression which represents the area of Dylan’s room will be  2x⁴ - 7x³ - 21x² + 82x - 56.

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Answer:

The longest side of the ΔQRS is Side RS.

Step-by-step explanation:

Given:  m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.

To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and  m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.

Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.

Answer:

9.48*

Step-by-step explanation:

This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :

3^2 + 9^2 = C^2

9 + 81 = C^2

90 = C^2

9.48 = C

* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.

Answer:

The answer would be A. 3√10 blocks

Step-by-step explanation:

I have had this question and its 3√10 blocks.
Hope this helps you other people :))