La bacteria X se produce en un organismo triplicando su cantidad cada cinco minutos. inicialmente hay una bacteria (considerando como minuto cero) ¿cuanta bacteria X hay al cabo de una hora?

The Volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

The volume of each bead, the volume of a sphere using its diameter. The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Given that the diameter of each bead is 1.5 millimeters, we can calculate the radius as half of the diameter:

r = 1.5 mm / 2 = 0.75 mm

Now, we can substitute the value of the radius into the volume formula:

V = (4/3) * π * (0.75 mm)^3

Using the value of π ≈ 3.14 and performing the calculations:

V ≈ (4/3) * 3.14 * (0.75 mm)^3

V ≈ (4/3) * 3.14 * 0.421875 mm^3

V ≈ 1.767 mm^3 (rounded to the nearest tenth)

the volume of each bead is approximately 1.767 mm^3 when rounded to the nearest tenth.

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Answer:

1 5/32 is equal to 1.15625 in decimal form.

Step-by-step explanation:

Hope this helped, Have a Great Day!!

1 and 5/32 is equivalent to 1.15625 as a decimal.

To convert the mixed number 1 and 5/32 to a decimal, you need to combine the whole number and the fractional part.

First, you convert the fractional part to a decimal.

The denominator of 32 tells you that there are 32 equal parts in a whole.

To determine the value of 5/32, you divide the numerator (5) by the denominator (32):

5 ÷ 32 = 0.15625

Next, you add the decimal value of the fractional part (0.15625) to the whole number (1):

1 + 0.15625 = 1.15625

Therefore, 1 and 5/32 is equivalent to 1.15625 as a decimal.

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Answer:Portion put up on Wednesday =1/12

Step-by-step explanation:

Since we are dealing with fraction

Let the total fence = 1 whole

such that fence put up on Monday = 3/4

and fence he put p on Tuesday = 1/6

Since he put up the rest on Wednesday, To find the portion put up we have that

Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)

=1- ( 3/4 + 1/6)

= 1-  18+ 4/ 24

=1- 22/24

= 2/24

Portion put up on Wednesday =1/12

Answer:

Step-by-step explanation:

Answer:

31 : 6, 31 craft sticks to 6 balsa wood

Step-by-step explanation:

Make 1240 and 240 into a fraction

\( \frac{1240}{240} \)

Divide 1240 and 240 by 10

1240 ÷ 10

= 124

240 ÷ 10

= 24

\( \frac{124}{24} \)

Divide 124 and 24 by 4

124 ÷ 4

= 31

24 ÷ 4

= 6

\( \frac{31}{6} \)

This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.

Have a lovely rest of your day! :)

In the word problem , the length of wood Mr. DeWitt carved off is 3.6cm.

What is word problem?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

According to the given ,

Length of wood = 20.3 cm

The length of boat = 16.7 cm.

Now Length of wood he carved off is,

=> Length of wood - length of boat

=> 20.3 - 16.7

=> 3.6 cm.

Hence the length of wood Mr. DeWitt carved off is 3.6cm.

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Answer:

30 bows

Step-by-step explanation:

I assume there are 72 inches of ribbon...

You divide the total by how much is needed for each, so the expression for this would be 72/2.4

If you simplify this expression, you get 30 bows for your answer.

Checking the answer:

30 bows that each needs 2.4 inches of ribbon would need a total of 30×2.4 inches of ribbon.

30×2.4 = 72, and Marissa has 72 inches of ribbon.

Answer:is this actually a question!

Step-by-step explanation:

The following statement is true about the triangles (d) D = 77 and E = 79

Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor,

Where the scale factor does not equal to one.

From the attached image, we understand that there are two shapes

The shapes are triangles

One triangle is the scaled factor of the other

So, the triangles are similar shapes

As a general rule, the following are the properties of a scaled copy of another figure

Using the above as a guide, we have the following

D =B = 77 -- by corresponding angles

Also, we have

E = A = 180 - 77 - 24 -- by corresponding angles

E = A = 79

Hence, the true statement is (d) D = 77 and E = 79

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Given:

There are given that rectangle 180 degrees.

Explanation:

According to the concept:

When we rotate any image about 180 degrees with respect to origin then:

Now,

The coordinate point of the rectangle is:

Then,

After rotation, the new coordinate point is:

Final answer:

The graph of the rectangle after rotating about 180 degrees.

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

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Answer:

The slope is \(\frac{1}{3}\).

Step-by-step explanation:

Remember that slope is \(\frac{rise}{run}\).

The line goes up 1 unit then left 3 units.

Answer: 38

step by step

deltamath

Answer:

38

Step-by-step explanation:

Every three candy bars cost a dollar.

Divide 25 by three.  

$8.33

Answer:

(-3.5,4)b

Step-by-step explanation:

Answer:

375 mi

Step-by-step explanation:

given that the gas mileage (i.e rate of gas consumption) is 25 mi/gal,

1 gal --------> car can travel 25 miles

15 gal --------> car can travel 15 x 25 miles = 375 mi

Answer:

[-3, 7].

Step-by-step explanation:

do i need to explain all that?

Answer:

The inequality can be rewritten as x-7 ≤ 50, which we can solve by adding 7 to both sides to get x ≤ 57.

Step-by-step explanation:

It seems like there are multiple questions combined in this one prompt. I will break them down and provide solutions for each one.

Solution for O x≤-3 or 2 Ox<-3 or 2 O-3≤x≤2 or x > 7:

To find the solution for this inequality, we need to solve each part separately and then combine the solutions using the union (OR) operation.

a) x ≤ -3: This part is already solved for x. The solution is x ≤ -3.

b) 2x < -3: We divide both sides by 2 to isolate x and get x < -3/2.

c) 2 ≤ x ≤ -3: This is not possible as there is no number that is both greater than or equal to 2 and less than or equal to -3.

d) x > 7: This part is already solved for x. The solution is x > 7.

The solution to the entire inequality is the union of these solutions: x ≤ -3 OR x < -3/2 OR x > 7.

Solution for x²+x-6 < 0

To solve this quadratic inequality, we can factor it as (x-2)(x+3) < 0 and use the sign chart method.

We create a sign chart for the expression (x-2)(x+3) and test the sign of the expression in each interval

  -3         2

  ---|-------|---

    -         +

(x-2) - 0 + +

(x+3) - - - 0 +

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

- + - 0 +

The sign chart tells us that the expression is negative when x is between -3 and 2. Therefore, the solution to the inequality is -3 < x < 2.

Solution for x-7 ≤ 50₂

It seems like the expression "50₂" is intended to represent the number 50 in base 2 (binary). To convert this number to base 10 (decimal), we can write 50₂ as

50₂ = 12^5 + 12^4 + 02^3 + 02^2 + 12^1 + 02^0 = 32 + 16 + 2 = 50

Therefore, the inequality can be rewritten as x-7 ≤ 50, which we can solve by adding 7 to both sides to get x ≤ 57.

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

20

Step-by-step explanation:

Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you.  1040/52=20 so every 20 miles cost 1 gallon of gas

The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Answer:

a) \(2n+14\)

b) \(\frac{nx}{2}\)

Answer:

2(a) 2n + 14

2(b) \(\frac{nx}{2}\)

Step-by-step explanation:

For (a), all you have to do is interpret the question itself and turn it into a mathematical operation.

Firstly, as the question has given, the number in (a) should be n.

Therefore, twice of n is 2n, and the sum of 2n and 14 is 2n + 14.

Same goes for (b). The question says a number multiplied by x, meaning nx, and nx halved, getting \(\frac{nx}{2}\).

Hope this helped!

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

x = 3

Step-by-step explanation:

The sample had an average contamination level of 3.55 ppb and a population standard deviation of 0.9.

Standard Deviation:

In statistics, standard deviation is a measure of the variation or spread of a set of values . A low standard deviation indicates that the values ​​tend to be close to the mean of the set (also called the expected value), while a high standard deviation indicates that the values ​​are spread over a wider range.

Standard deviation can be abbreviated SD and is most often represented in mathematical texts and equations by the lowercase Greek letter σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation.

Sample:

A sample is the result of a randomized experiment. By choosing a random variable, you get a specific value from a set of possible values. This particular value is called a pattern. The possible values ​​and probabilities of each are determined by the probability distribution of the random variable.

Based on the Question:

Government regulations limit the amount of pollutants that can be released into the atmosphere through industrial chimneys.

And,

To demonstrate that the stack emits contaminants below the 4 ppb contaminant limit, REM Industries collects a random sample of n = 22 readings.

Therefore,

The sample had an average contamination level of 3.55 ppb and a population standard deviation of 0.9.

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Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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