If point D is placed on `bar(AC)`, how will the measure of `/_DAB` relate to the measure of `/_CAB` ?

Answer:

she didnt put an arrow on the x axis :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well first we know that there are 25 squares. If we use some quick arithmetic, we can find how much each square represents out of 100%:

100/25 = 4

100% divided by 25 squares represents 4% for each square in the diagram. If we want to cover 48%, we can use some algebra:

4s = 48

s = 12

We need to shade in 12 squares to cover 48% of the diagram.

Hopefully this explanation was thorough enough!

The zeros of the function f(x) = 1/2cos(2x) in the interval (-2π, 2π) are: x = π/4, 3π/4.

To find the zeros of the function f(x) = 1/2cos(2x) in the interval (-2π, 2π), we need to solve the equation f(x) = 0.

We know that the cosine function has zeros at x = π/2, 3π/2, 5π/2, etc. So we need to find all values of x in the interval (-2π, 2π) that satisfy the equation cos(2x) = 0.

Using the double angle formula for cosine, we have:

cos(2x) = 2cos²(x) - 1 = 0

Solving for cos(x), we get:

cos(x) = ±sqrt(1/2)

So the solutions for cos(2x) = 0 are:

x = π/4, 3π/4, 5π/4, 7π/4

However, we need to check which of these solutions are within the interval (-2π, 2π).

Since π/4 and 3π/4 are both between -2π and 2π, they are valid solutions. But 5π/4 and 7π/4 are not within the interval, so we can discard them.

Therefore, the zeros of the function f(x) = 1/2cos(2x) in the interval (-2π, 2π) are: x = π/4, 3π/4.

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Answer:

A = 100 pi cm^2

Step-by-step explanation:

A = pi(r^2)

A = pi(10^2)

A = pi(100)

A = 314.16 '

Convert to pi units.

314.16 ---> 100pi cm^2

Answer:

Half of 20 is 10(New radius)

10^2(radius squared) = 100

100pi is your next step, which is 100π cm2

Formula area of a circle:

πr^2

pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius(half of your diameter or given radius) squared(to the power of 2)

Pi x radius being squared

The answer is FALSE. The likelihood of discovering a substantial difference between treatments does not increase with any factor that makes treatments more variable.

In experiments, you create situations where several treatments (such a are used in order to investigate the impact of an independent variation.

Every participant in a between-subjects or between-groups design only experiences one condition, and group differences between participants in various conditions are compared. In contrast, no participant in a within-subjects design is exposed to every condition.

As a result, the likelihood of discovering a substantial difference between treatments is not increased by factors that enhance variation within treatments.

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Answer:

43 units

Step-by-step explanation:

Given the data, QR = 6x + 1, PR = 14x – 13, and  PQ = 5x - 2, it can be inferred that PQ+QR = PR

Substitute the given functions

5x - 2+6x + 1 =  14x – 13

collect like terms

5x+6x-2+1 =  14x – 13

11x-1 =  14x – 13

11x-14x = -13+1

-3x = -12

Divide both sides by -3

-3x/-3 = -12/-3

x = 4

Substitute x = 4 into PR = 14x – 13;

PR =  14(4) – 13

PR = 56-13

PR = 43

Hence the length of PR is 43 units

Answer:

Amount made from selling pool rafts on Friday is equal to $108.02

Step-by-step explanation:

Total amount made from selling pool rafts = $564

Amount made from selling pool rafts on Monday = $132.56

Amount made from selling pool rafts on Tuesday = $107.38

Let amount made on each of the days - Wednesday, Thursday, and Friday be equal to $x.

Therefore,

\(132.56+107.38+x+x+x=564\\239.94+3x=564\\3x=564-239.94\\3x=324.06\\x=\frac{324.06}{3}\\ x=$108.02\)

So,

amount made from selling pool rafts on Friday is equal to $108.02

Answer:

92%

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

10% = 80 ÷ 10 = 8

50% = 8 x 5 = 40

Hope this helps!

Answer:

40

Explanation:

50% = 80 ÷ 2 = 40

Hope this helps!

It should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity.

It should be noted that an identity simply means an equation that is always true no matter the values that are substituted.

In this case, should be noted that sin(sin^-1x) = sin-1(sinx) is not an identity. It's simply the inverse of the sine function.

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a) (572)8
Step 1:  5 - 101, 7 - 111, and 2 - 010
Step 2: Combine the binary equivalents.
(572)8 = (101 111 010)2

b) (1604)8
Step 1: Convert each digit to its 3-bit binary equivalent.
1 - 001, 6 - 110, 0 - 000, and 4 - 100
Step 2: Combine the binary equivalents.
(1604)8 = (001 110 000 100)2

c) (423)8
Step 1: Convert each digit to its 3-bit binary equivalent.
4 - 100, 2 - 010, and 3 - 011
Step 2: Combine the binary equivalents.
(423)8 = (100 010 011)2

d) (2417)8
Step 1: Convert each digit to its 3-bit binary equivalent.
2 - 010, 4 - 100, 1 - 001, and 7 - 111
Step 2: Combine the binary equivalents.
(2417)8 = (010 100 001 111)2

To convert an octal number to binary, we simply need to replace each octal digit with its 3-bit binary equivalent. Here are the steps for each of the given integers:

a) (572)8
- The octal expansion has three digits: 5, 7, and 2.
- To convert each digit to binary:
  - 5 = 101 in binary (since 5 = 4 + 1 = 2^2 + 2^0)
  - 7 = 111 in binary (since 7 = 4 + 2 + 1 = 2^2 + 2^1 + 2^0)
  - 2 = 010 in binary (since 2 = 2^1)
- So the binary expansion of (572)8 is 101111010.

b) (1604)8
- The octal expansion has four digits: 1, 6, 0, and 4.
- To convert each digit to binary:
  - 1 = 001 in binary (since 1 = 2^0)
  - 6 = 110 in binary (since 6 = 4 + 2 = 2^2 + 2^1)
  - 0 = 000 in binary
  - 4 = 100 in binary (since 4 = 2^2)
- So the binary expansion of (1604)8 is 001101000100.

c) (423)8
- The octal expansion has three digits: 4, 2, and 3.
- To convert each digit to binary:
  - 4 = 100 in binary (since 4 = 2^2)
  - 2 = 010 in binary (since 2 = 2^1)
  - 3 = 011 in binary (since 3 = 2 + 1 = 2^1 + 2^0)
- So the binary expansion of (423)8 is 100010011.

d) (2417)8
- The octal expansion has four digits: 2, 4, 1, and 7.
- To convert each digit to binary:
  - 2 = 010 in binary (since 2 = 2^1)
  - 4 = 100 in binary (since 4 = 2^2)
  - 1 = 001 in binary (since 1 = 2^0)
  - 7 = 111 in binary (since 7 = 4 + 2 + 1 = 2^2 + 2^1 + 2^0)
- So the binary expansion of (2417)8 is 010010001111.


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a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The identity sin θ sec θ = tan θ is true for all values of θ except for the values where cos θ = 0.

To verify the identity sin θ sec θ = tan θ, we need to simplify the left-hand side (LHS) and the right-hand side (RHS) and show that they are equal.

LHS = sin θ sec θ

= sin θ (1/cos θ)

= sin θ/cos θ

= tan θ

RHS = tan θ

Since LHS = RHS, we can conclude that the identity sin θ sec θ = tan θ holds true.

The domain of validity for this identity is all real numbers θ except for the values where cos θ = 0. At those values, the expression sec θ is undefined.

The identity sin θ sec θ = tan θ is verified to be true for all values of θ except for the values where cos θ = 0.

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Answer:

d

Step-by-step explanation:

A segment joining the midpoints of a triangle is

• Parallel to the third side

• Half the length of the third side

The segment DF joins the midpoints of 2 sides of Δ ABC , then

BC = 2 × DF = 2 × 4 = 8

Stratified sampling should be used if a population is believed to have a skewed distribution for one or more of its distinguishing factors.

If a population is believed to have a skewed distribution for one or more of its distinguishing factors, then stratified sampling should be used. This involves dividing the population into subgroups based on the distinguishing factors and then randomly selecting samples from each subgroup in proportion to its size. This ensures that the sample represents the population accurately, even if it has a skewed distribution. Sample random, synthetic, and cluster sampling methods may not be effective in this case as they do not account for the skewed distribution of the population.

Stratified sampling is the most appropriate method to use if a population is believed to have a skewed distribution for one or more of its distinguishing factors. It ensures that the sample accurately represents the population and is not biased by the skewed distribution.

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The Basic System (BS) is best when the contracted volume is below or equal to 41,667 units. The Automated System (AS) is best when the contracted volume is between 41,667 and 68,750 units.

The Innovative System (IS) is best when the contracted volume exceeds 68,750 units. The cost analysis of three different processes (Basic System (BS), Automated System (AS), and Innovative System (IS)) reveals that the Basic System is the most cost-effective when the contracted volume is less than or equal to 41,667 units.

When the contracted volume is between 41,667 units and 68,750 units, the Automated System is the most cost-effective option. When the contracted volume is over 68,750 units, the Innovative System is the most cost-effective choice. The virtual phone company is awarded a new contract to produce a gaming processor for a new generation phone with AT&T. The owner of Virtual is anticipating that the contract will be extended, and the demand will increase next year.

The table contains three different processes with fixed annual and variable costs. To find out which option is the best under a specific scenario, we need to calculate the total cost of each option for different contracted volumes. The best option is the one with the lowest cost. Variables Basic System (BS), Automated System (AS), Innovative System (IS), Annual fixed cost $500, 000$125, 000$200, 000

Variable cost per unit : $18.00$14.00$13.00

Cost Analysis: To find out the contracted volume for each option, we need to set up the following equations:

For the Basic System (BS),

Total cost = $500,000 + $18.00 × contracted volume.

For the Automated System (AS),

Total cost = $125,000 + $14.00 × contracted volume.

For the Innovative System (IS),

Total cost = $200,000 + $13.00 × contracted volume.

The calculation for Basic System (BS):

Total Basic System (BS) cost = $500,000 + $18.00 × contracted volume.

Suppose the contracted volume is x.

Total Basic System (BS) cost = $500,000 + $18.00 × x.

The calculation for Automated System (AS):

Total Automated System (AS) cost = $125,000 + $14.00 × contracted volume.

Suppose the contracted volume is y.

Total Automated System (AS) cost = $125,000 + $14.00 × y.

The calculation for Innovative System (IS):

Total Innovative System (IS) cost = $200,000 + $13.00 × contracted volume.

Suppose the contracted volume is z.

Total Innovative System (IS) cost = $200,000 + $13.00 × z.

From the above analysis, we can conclude that the Basic System (BS) is best when the contracted volume is below or equal to 41,667 units. The Automated System (AS) is best when the contracted volume is between 41,667 and 68,750 units. The Innovative System (IS) is best when the contracted volume exceeds 68,750 units.

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The associative property looks like a + (b + c) = (a + b) + c.

According to the associative property, if 3 numbers are added or multiplied then the grouping of numbers does not change the final result.

The associative property is applicable in addition as well as in multiplication.

According to the associative property in addition - when 3 numbers, say a, b, and c are being added then their sum will not change even if the grouping of numbers is changed. It can be presented as:

(a + b) + c = a + (b + c)

According to the associative property in multiplication - when 3 numbers, say a, b, and c are being multiplied then their product will not change even if the grouping of numbers is changed. It can be presented as:

(a × b) × c = a × (b × c)

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9514 1404 393

Answer:

  z + y = 52; z - y = 10; z = 31; y = 21; $9.85 total

Step-by-step explanation:

The variables are defined in the problem statement. The equations could be ...

  z + y = 52 . . . . . . total number of coins

  z - y = 10 . . . . . . . 10 more quarters than dimes

These equations can be solved by adding them together.

  (z +y) +(z -y) = (52) + (10)

  2z = 62 . . . . . . . simplify

  z = 31 . . . . . . . . . divide by 2

  31 -10 = y = 21 . . . . find the number of dimes

There are 31 quarters and 21 dimes.

The value of the coins is ...

  31($0.25) +21($0.10) = $7.75 +2.10 = $9.85

Answer:

14

Step-by-step explanation:

To find the diameter you can just multiply the radius by 2:

7 x 2 = 14
Hope this helps :)

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Here's we go ~

We know that diameter of a circle is two times it's radius, that's a basic relation among diameter and radius, so let's use this to find the value of diameter :

\(\qquad \sf  \dashrightarrow \:d = 2r\)

\(\qquad \sf  \dashrightarrow \:d = 2 \times 7\)

\(\qquad \sf  \dashrightarrow \:d = 14 \: cm\)

・ ．━━━━━━━†━━━━━━━━━．・

Take coordinate of L and L'

Rules

90° counterclockwise rotation

270° counterclockwise rotation

Check first 90°

Now

translate 1 units left

yes satisfied

Option A

The  means that approximately 65.54% of the observations in a standard normal distribution would have a z-score less than 0.4 standard deviation above the mean. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The probability that a z-score from a standard normal distribution would be less than 0.4 standard deviation above the mean can be calculated using a standard normal distribution table or calculator. This probability can be found by calculating the area under the standard normal distribution curve to the left of the z-score of interest.Using a standard normal distribution table or calculator, the probability of a z-score from a standard normal distribution being less than 0.4 standard deviation above the mean is approximately 0.6554 or 65.54%.

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Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

The volume of the can is approximately 87.96 cubic inches.

- To find the volume of the can, we need to use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height of the cylinder.
- In this case, the radius is 2 inches and the height is 7 inches, so we can plug in those values and simplify:
V = π(2²)(7)
V = 4π(7)
V = 28π
- However, we need to round to the nearest hundredth, so we need to approximate π as 3.14 and use a calculator to multiply:
V ≈ 87.96 cubic inches

To find the volume of the can, we need to use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height of the cylinder. In this case, the can has a height of 7 inches and a radius of 2 inches, so we can plug in those values and simplify.

V = π(2²)(7)
V = 4π(7)
V = 28π

However, we need to round to the nearest hundredth, so we need to approximate π as 3.14 and use a calculator to multiply. This gives us:

V ≈ 87.96 cubic inches

Therefore, the volume of the can is approximately 87.96 cubic inches.

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Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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Answer:

0.875

Step-by-step explanation:

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons

To solve this problem, we need to use the central limit theorem and the formula for the standard error of the mean:

Standard error of the mean = standard deviation / square root of sample size

In this case, the standard deviation is the square root of the variance, which is 7. Therefore, the standard error of the mean is:

Standard error of the mean = 7 / square root of 43 ≈ 1.061

Next, we need to calculate the z-score for a difference of 2.4 gallons:

z-score = (sample mean - population mean) / standard error of the mean
z-score = (101 - 101.6) / 1.061 ≈ -0.566

Note that we subtract the population mean from the sample mean because we want to know how much the sample mean differs from the population mean.

Finally, we can use a standard normal distribution table (or a calculator) to find the probability that a z-score is less than -0.566 or greater than 0.566 (since the distribution is symmetric). The probability of a z-sitcore less than -0.566 is approximately 0.2881, so the probability of a z-score greater than 0.566 is also approximately 0.2881. Therefore, the probability that the sample mean would differ from the population mean by greater than 2.4 gallons is:

Probability = 0.2881 + 0.2881 ≈ 0.5762

Rounding to four decimal places, the answer is 0.5762.

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