A pack of batteries that contains nine batteries costs $20. Determine the cost per
battery.

the best description of a population that has a stable age distribution is (e) a growing population in which the proportions of individuals in the different age classes remain constant.

Such a population will have a steady age distribution since the proportion of people in each age group will remain constant.   Independent of the initial age distribution is this steady age distribution and is solely dependent on maintaining stable fertility and death rates.

It has been demonstrated that a closed population's annual rate of increase tends to become constant when it is exposed to age-specific fertility and mortality rates for a considerable amount of time.

A population that has reached this point is referred to as stable, and this consistent rate of growth is known as the intrinsic rate of natural increase.

Such a population will have a steady age distribution since the proportion of people in each age group will remain constant.

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Answer:

\(( x + 15)(x-15)\)

Step-by-step explanation:

\(x^2-225\)

\(\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2\)

\(=x^2-15^2\)

\(\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)\)

\(x^2-15^2=\left(x+15\right)\left(x-15\right)\)

\(\mathrm{\left(x+15\right)\left(x-15\right)}\)

~Learn with Lenvy~

Answer:

22 is C and I don't know 21

4A. The number of whole pie shaded are 2

4B . The number of partial pie shaded is 3

4C.  The mixed number formed is 2 3/5

5A. The whole number part which is 2 is the quotient

5B.  The remainder is 3

In mathematics, a fraction is a number that represents a part of a whole. It consists of two parts: a numerator, which is the part of the fraction that represents the number of parts being considered, and a denominator, which is the number that represents the total number of parts in the whole.

A mixed number is a combination of a whole number and a fraction. It represents a quantity that is greater than the fraction but less than the next whole number.

For example, In the division problem, the dividend is 13 and and the divisor is 5. the division results to mixed number of value 2 3/5.

The mixed number 2 3/5 represents a quantity that is equal to

two whole and three fifths.

converting to improper fractions gives 13/5

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The sample mean does not consistently overestimate or underestimate the population mean. It provides an accurate estimate of the population mean.

The statement that best describes what is meant when we say that the sample mean is unbiased when estimating the population mean is that the sample mean is equal to the population mean on average. In other words, the sample mean does not consistently overestimate or underestimate the population mean. It provides an accurate estimate of the population mean.

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Answer:

24.05

Step-by-step explanation:

v² = u² + 2gs

(25)² =(12)² +2(10)s

625=144+20s

625-144=20s

481=20s

481/20=s

24.05=s

s=24.05

Answer:

Step-by-step explanation:

Answer:

I believe its C- 25%

Step-by-step explanation:

If you count how far it is from 15 to 20 (5) and divide that by 1/20 you should end up with 0.25. Turn that into a percent and you get 25%.

Let me know if Im wrong!

The percentage of the time will Oliver arrive between 15 and 20 minutes late to work is 25%. The correct option is 3.

A probability density function, also known as the density of a continuous random variable in probability theory, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the random variable's value will be equal to that sample.

The total area under the uniform density curve between 10 and 30 is equal to 1, which represents 100% of the time.

To find the percentage of the time that Oliver arrives between 15 and 20 minutes late, we need to find the area of the uniform density curve between 15 and 20 and then convert it to a percentage.

The width of the uniform density curve between 15 and 20 is 5 units (20 - 15 = 5), and the height is 1/20. Therefore, the area of this region is:

Area = width x height = 5 x (1/20) = 1/4

To convert this to a percentage, we multiply by 100:

Percentage = (Area/Total area) x 100% = (1/4) x 100% = 25%

Therefore, the answer is 25%.

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Hello! I'm happy to help you with your question. Here's the notation for each sequence:

(a) 2 + 4 + 6 + 8 + ... + 2n can be rewritten as:
∑(2i) where i goes from 1 to n.

(b) 1 + 5 + 9 + 13 + ... + 425 can be rewritten as:
∑(4j-3) where j goes from 1 to 106. (Note: 425 is the 106th term in this sequence)

(c) 1 + 12 + 13 + 14 + ... + 150 can be rewritten as:
1 + ∑(k) ,where k goes from 12 to 150

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Answer:

54 XE   X53

Step-by-step explanation:

Answer: y = x + 4

Step-by-step explanation:

3x+3=-9+3y

-9+3y=3x+3

-9+3y+9=3x+3+9

3 ÷ (3y=3x+12) ÷ 3

y = x + 4

Answer:

a= 40

area=length*width

area=8*5

area=40

hope this helped!

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

8x5=40

Length:8

time

Whidth: 5

=40

Answer:

Step-by-step explanation:

f(x) = (x+2)² - 2    

-f(x-4)    means multiply the whole function by -1 and substitute x for x-4

-f(x-4) = -[((x-4)+2)² - 2]          simplify the -4 and 2

         = -[(x-2)² -2]                  distribute the -

          = -(x-2)² + 2

1. the new function is now facing down, reflected across the x-axis

2.  the new vertex is (2, 2)  the old one was (-2, -2)

     -shifted 4 units right

    - shifted 4 units up

Answer:

257 km.          857 km.

Step-by-step explanation:

Answer:

cweds

Step-by-step explanation:

Answer:

5 and 1

Step-by-step explanation:

GF GF

2;5 5;1

the number that is straight to F are its coordinates .

5 and 1.

Answer:

I believe the answer would be x<46

Answer:

I'm fairly sure that it would be D, or the final answer.

Step-by-step explanation:

Since he sold more than 45 waffle cones, x would not equal 45. This is why D is correct. Hope it helps!

1.62 is the volume (in cm3) of 2 troy ounces of pure gold .

What is full answer for density?

We determine the volume, V, corresponding to the given amount of gold. We do this by dividing the given mass, m, by the density, d, such that

               V = m/d

  m = 31.03 g

   d = 19.3 g/ml

We proceed with the solution

  V = m/d

     = 31.03/19.3

      ≈ 1.62 ml

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Using the formula of volume of rectangular prism;

1. The volume of the rectangular prism is 3672cm³

2. The volume of the rectangular prism is 630in³

3. The volume of the rectangular prism is  3744ft³

The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:

Volume = length × width × height

V = l × w × h

By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.

1. To find the volume of the rectangular prism, we have to substitute the value into the formula;

v = 9 * 24 * 17

v = 3672cm³

2. The volume of the rectangular prism is given as;

v = 4.5 * 14 * 10

v = 630in³

3. The volume of the rectangular prism is given as;

v = 8 * 12 * 39

v = 3744ft³

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Answer:

Step-by-step explanation:

Finding Slope:

Finding Y-Intercept:

Answer:

1.  Slope = 20

2.  y-intercept = 60

Step-by-step explanation:

The slope of the line is found by dividing the change in y by the change in x or "rise over run":

\(\implies \textsf{slope}\:(m)=\dfrac{\textsf{change in $y$}}{\textsf{change in $x$}}=\dfrac{80-60}{2-1}=\dfrac{20}{1}=20\)

The slope of the line for the given situation is the fee per class. Therefore, there is a $20 fee for each class a customer at the gym attends.

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

The y-intercept is the y-value at the point at which the line intercepts the y-axis, so when x = 0.

From inspection of the given graph, y = 60 when x = 0.

\(\implies \textsf{$y$-intercept}=60\)

The y-intercept of the line for the given situation is the membership fee for the gym.  Therefore, the membership fee for the gym is $60.

Answer:

14:30 or 14/30

Step-by-step explanation:

Answer:found it

Step-by-step explanation:

398643-457854=4574

In a major sports rights deal, the NCAA just renewed its contract with CBS/Turner through 2032 for March Madness. CBS and Turner Sports both serve as the broadcasting means in the media process

They play a crucial role in the communication process by broadcasting the NCAA March Madness tournament to millions of viewers around the world. The agreement between the NCAA and CBS/Turner is a significant deal that will ensure the continued popularity and success of the annual college basketball tournament for years to come. This partnership has allowed CBS/Turner to provide in-depth coverage of the event, including live streaming of games, analysis, and commentary. Additionally, CBS and Turner Sports work closely with the NCAA to promote the tournament and its related events to audiences worldwide, which helps to enhance the overall viewing experience. Overall, CBS and Turner Sports have established themselves as key players in the broadcasting industry, providing quality sports programming to audiences worldwide.

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Answer:(17/5)x−14

Step-by-step explanation:

2/5x−2+3(x−4)

2/5x−2+3x−12   [Remove the parentheses]

2/5x+3x−14         [Combine terms]

2/5x+15/5x−14    [Change 3x to (15/5)x]

(17/5)x−14               [Add (2/5)x + (15/3)x]

or (3 3/5)x - 14

Step-by-step explanation:

Let set up the two column proof

Statements. Reasons

1. m 1+ m∠5 = 180° and m∠1 + m∠4=180° Given

2. 2. m∠1 + m∠5 = m∠1 + m∠4. Substitution

3.m∠5 = m∠4. Subtraction Property of Equal

4.is Parallel to Given. 4.If alternate interior angles equal, then lines are ||.

Answer:

a. 2

b. 8(-4)

c. (37)

d. (60 + 8)

Step-by-step explanation:

This just shows how to expand brackets. So to expand 2(9+4) you would, do 2*9 + 2*4 and same for b.

Part d is a little different because it can be any two numbers that add up to 68 (here I just put the most simple one I could think of).

Answer:

a. 2

b. 8, 4

c. 37

d. 60 + 8

Step-by-step explanation:

\(a.\ 2(9+4) = 2*9 + 2*4\)

\(b.\ 8(7-4) = 8(7) - 8(4)\)

\(c.\ 8(30 + 7) = 8(37)\)

\(d.\ 6(60 + 8) = 6(68)\)

Answer:

no solution

Step-by-step explanation:

15(2x+2)=10(3x+4)  Distribute.

30x+30=30x+40     Subtract 30x from both sides.

-30x       -30x

30=40

30 does not equal 40, so there is no solution.

Hope this helps!! Have a great day C:

Step-by-step explanation:

<DAB and <BCD are equal because opposite angles and sides are congruent and consecutive angles are supplementary

To make a 300 mL buffer solution with a pH of 3.5, the mass of NaF required is 7.17 grams.

The buffer solution is created by mixing HF with NaF. The two ions, F- and H+, react to create HF, which is the acidic component of the buffer. The pKa is used to determine the ratio of the conjugate base to the conjugate acid in the solution. Let us calculate the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5.

To calculate the mass of NaF, we need to know the number of moles of NaF needed in the solution. We can calculate this by first determining the number of moles of HF and F- in the buffer solution. Here's the step-by-step solution:

Step 1: Calculate the number of moles of HF needed: Use the Henderson-Hasselbalch equation to calculate the number of moles of HF needed to create a buffer with a pH of 3.5.pH

\(= pKa + log ([A-]/[HA])3.5\)

\(= -log(7.2*10^{-4}) + log ([F-]/[HF])[F-]/[HF]\)

= 3.16M/0.1M = 31.6mol/L.

Since we know that the volume of the buffer is 0.3L, we can use this value to calculate the number of moles of HF needed. n(HF) = C x Vn(HF) = 0.1M x 0.3Ln(HF) = 0.03 moles

Step 2: Calculate the number of moles of F- needed: The ratio of the concentration of F- to the concentration of HF is 31.6, so the concentration of F- can be calculated as follows: 31.6 x 0.1M = 3.16M. The number of moles of F- needed can be calculated using the following formula: n(F-) = C x Vn(F-) = 3.16M x 0.3Ln(F-) = 0.95 moles

Step 3: Calculate the mass of NaF needed: Now that we know the number of moles of F- needed, we can calculate the mass of NaF required using the following formula:

mass = moles x molar mass

mass = 0.95 moles x (23.0 g/mol + 19.0 g/mol)

mass = 7.17 g

So, the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5 is 7.17 grams. Therefore, the correct answer is 7.17g NaF.

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The correct question would be as

Calculate the mass of NaF in grams that must be dissolved in a 0.25M HF solution to form a 300 mL buffer solution with a pH of 3.5. (Ka for HF= 7.2X10^(-4))