select the equation of a straight line that is parralell to the line 4y=3x+5

ANSWER:

B

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

They both have the same percentage of green marbles, Amanda has 16 total marbles, 4 of them are green. So 25 percent of her marbles are green. If 25 percent of Amandas marbles are green, 25 % of Carlys marbles are green too. Carly has 10 green marbles, if 10 is 25 percent of the total amount then the total amount if 40, minus 10 from 40 because we only want the non green ones and the answer is 30. :)

Using the half life of palladium, mass seven weeks after start was 0.7931 gm.

The half-life is the amount of time it takes for a quantity (of material) to fall to the cost. In nuclear physics, the phrase usually refers to how rapidly neutrons become radioactive atoms or how long stable atoms survive.

The term can also refer to any sort of hyperbolic (or, in rare situations, non-exponential) decay.

The  half life of palladium 100 = 4 days

after 24 days sample has reduced to a mass of 5mg

standard exponential function is

\(P = P_o e^{kt}\)

plugging P = P₀ /2

\(P_o/2 = P_o e^{4k }\)

\(1/2 = e^{4k }\)

ln (1/2) = 4k

k = -0.1733

function becomes

\(P = P_o e^{- 0.1733 t }\)

plugging P = 5 and t = 24

\(5 = P_o e^{( - .1733\times 24 ) }\)

P₀ = 320.10

In the medical sciences, for example, the biological half of drugs and other chemicals in the human body is referred to. The flipside of half-life is doubling time in exponential growth.

For the second part of the problem:

7 weeks = 5 × 7 =49 days

plugging t = 49

\(P = 320.10 e^{(-.1733 * 35 ) }\)

mass 7 weeks after = 0.7431 mg

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Answer:

ok i will

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

Diagram

x = ?

y = ?

z = ?

Step 02:

Similar Triangles

15 * 20 = z * z

300 = z ²

x ² + 15 ² = z ²

y² + z² = 20²

The answer is:

x = √75 = 5√3

y = 10

z = √300 = 10√3

Answer:

13

Step-by-step explanation:

Given parameters:

Number of oranges processed by grower  = 2330 oranges

Number of oranges per crate  = 96

Unknown:

Number unpacked oranges

Solution:

To solve this problem, divide the total number of oranges by the number of oranges per crate;

  Number of unpacked oranges  = \(\frac{2330}{96}\)  

  Number of unpacked oranges  = 24 \(\frac{13}{48}\)  

The remaining unpacked is 13.

The inverse demand function for the given demand function D(p) = 20 - p/4 is 5 - q/4.

To find the inverse demand function, we need to solve the demand function for the quantity (q) in terms of the price (p).

Given the demand function D(p) = 20 - p/4, we can rewrite it as:

q = 20 - p/4

Now, rearranging the equation to solve for p, we get:

p/4 = 20 - q

p = 4(20 - q)

Therefore, the inverse demand function is p = 4(20 - q), which simplifies to p = 80 - 4q. By dividing both sides of the equation by 4, we obtain the inverse demand function in the standard form:

p = 5 - q/4

In summary, the inverse demand function for the given demand function D(p) = 20 - p/4 is 5 - q/4.

32 points: The elasticity of demand for wheat does not depend on the unit of measurement (bushels or gallons). Therefore, if the elasticity of demand for wheat is -0.50 when measured in bushels, it will still be -0.50 when measured in gallons. None of the other answer choices are correct.

41 points: The own-price elasticity of demand can be calculated using the formula:

E = (ΔQ/ΔP) * (P/Q)

Given the market demand function D(p) = 10 - p, we can substitute p = 6 into the equation and calculate the slope of the demand function at that price.

ΔQ = D(p2) - D(p1) = (10 - p2) - (10 - p1) = (10 - 6) - (10 - 6) = 4 - 4 = 0

ΔP = p2 - p1 = 6 - 6 = 0

Using these values in the elasticity formula, we get:

E = (0/0) * (6/10) = 0

Therefore, the own-price elasticity of demand at a price of p = 6 is 0.

Income elasticity of demand measures the responsiveness of quantity demanded to changes in income. The income elasticity of demand for roses can be calculated using the formula:

E = (ΔQ/ΔM) * (M/Q)

Given Q = 12 - 3p + (1/100)M, we substitute M = 100 and p = 1 into the equation:

Q = 12 - 3(1) + (1/100)(100)

Q = 12 - 3 + 1

Q = 10

ΔQ = Q2 - Q1 = 10 - 10 = 0

ΔM = M2 - M1 = 100 - 100 = 0

Using these values in the elasticity formula, we get:

E = (0/0) * (100/10) = 0

Therefore, the income elasticity of demand for roses when M = 100 and p = 1 is 0.

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The percentiles for the standard normal distribution

a. 0.93

b. -0.88

c. 0.67

d. -0.65

e. -1.28

To determine the percentiles for the standard normal distribution, use the standard normal distribution table. Percentiles for standard normal distribution are given by the standard normal distribution table.

The standard normal distribution is a special type of normal distribution with a mean of 0 and a variance of 1.

Step 1: Write down the given percentiles as a decimal and round to two decimal places.

For example, for the 81st percentile, 0.81 will be used.

Step 2: Use the standard normal distribution table to find the corresponding z-score.

Step 3: Round off the obtained answer to two decimal places.

a) 81st percentile:

The area to the left of the z-score is 0.81.

The corresponding z-score is 0.93.

Hence, the 81st percentile for the standard normal distribution is 0.93.

b) 19th percentile:

The area to the left of the z-score is 0.19.

The corresponding z-score is -0.88.

Hence, the 19th percentile for the standard normal distribution is -0.88.

c) 76th percentile:

The area to the left of the z-score is 0.76.

The corresponding z-score is 0.67.

Hence, the 76th percentile for the standard normal distribution is 0.67.

d) 24th percentile:

The area to the left of the z-score is 0.24.

The corresponding z-score is -0.65.

Hence, the 24th percentile for the standard normal distribution is -0.65.

e) 10th percentile:

The area to the left of the z-score is 0.10.

The corresponding z-score is -1.28.

Hence, the 10th percentile for the standard normal distribution is -1.28.

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The number of people by the year 2050 is obtained as 927915 people.

We know that population is an exponential growth problem in this case. We have to apply the formula;

P = Poe^rt

P = population at time t

Po = Initial population

r = population growth rate

t = time taken

Now;

We have to use the relation to find the growth rate as follows;

733,000 = 622,000 e^20r

733,000/622,000 = e^20r

1.178 = e^20r

ln(1.178) = 20r

r = ln(1.178)/20

r = 0.008

Now;

In the year 2050, we would have;

P = 622,000 e^50 * 0.008

P = 927915 people

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Answer:

1.55x-2.16

Step-by-step explanation:

Answer: 2 is the correct answer I am 100% positive

Step-by-step explanation:

Answer: the rate of change is 2

Step-by-step explanation:

The system of equations can be graphed using a graphing utility to find their intersection point, which represents the solution to the system.

To graph the system of equations, we first need to rearrange them in slope-intercept form, which is y = mx + b. For the first equation, we can solve for y by subtracting 2x from both sides and then dividing by -4, which gives us y = -0.5x + (5/4). For the second equation, we can solve for y by dividing both sides by -1.2 and then simplifying, which gives us y = -0.5x + (5/8). We can then enter these equations into a graphing utility, such as Desmos or GeoGebra, to plot their graphs. The intersection point of the two graphs represents the solution to the system. In this case, the intersection point is (4.4, 1.3), which means that x = 4.4 and y = 1.3 is the solution to the system of equations.

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75 apples would cost $37.50.

To find the cost of 75 apples, we can set up a proportion using the given information. Let's call the cost of 75 apples 'x'.

We know that 50 apples cost 25. This can be written as:

50 apples / 25 = 75 apples / x

To solve for 'x', we can cross-multiply:

50x = 75 * 25

Now, we can solve for 'x' by dividing both sides of the equation by 50:

x = (75 * 25) / 50

Calculating this, we find that:

x = 37.5

Therefore, 75 apples would cost $37.50.

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Answer:

48 regular keyboards, 16 wireless keyboards

Step-by-step explanation:

To find the number of each type of keyboard sold, we need to form and solve 2 equations.

Define variables used:

Let the number of regular keyboards and wireless keyboards sold be r and w respectively.

Equation from total sales:

Sales from regular keyboards= $83r

Sales from wireless keyboards= $115w

Total sales= $(83r +115w)

83r +115w= 5824 -----(1)

Equation from number of keyboards sold:

r= 3w -----(2)

Let's solve the simultaneous equations by substitution!

Subst. (2) into (1):
83(3w) +115w= 5824

249w +115w= 5824

364w= 5824

Divide both sides by 364:

w= 16

Subst. into (2):

r= 3(16)

r= 48

Thus, 48 regular and 16 wireless keyboards are sold.

Supplementary:

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Answer:

8

Step-by-step explanation:

Answer is =8cm

Step-by-step explanation:

d=2r=2·4=8cm

The graph of the function f(x) = 2(3)ˣ is the graph (a)

From the question, we have the following parameters that can be used in our computation:

f(x) = 2(3)ˣ

From the graph, we have

x = 1

So, we calculate f(1)

substitute the known values in the above equation, so, we have the following representation

f(1) = 2(3)¹

Evaluate

f(1) = 6

This means that the point (1, 6) is on the graph

Hence, the graph of f(x) = 2(3)ˣ is the graph (a)

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The missing side length will be equal to 12 cm.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

The length of the missing side will be the sum of the two lengths as shown below. Therefore, the missing side length will be equal to 12 cm.

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Answer:

We need to know the other marbles in the bag and how many there are of each.

Answer:

I think the awnser is for AOC is 120 I think

The likelihood that at least 150 people will collaborate and react in a fresh sample of 400 telephone numbers is 0.9953.

The probability informs us of the likelihood that an event will occur. It is necessary for the likelihood to fall between 0 and 1. The likelihood of success is 1, whereas the probability of failure is 0.

Given, that the market research  company has a history of having a 44% response rate for its telephone surveys.

Therefore, p=44%=0.44=μ

n=400

p=150/400

p=0.375

The standard deviation is then equal to,

σ=√(p(1-p))/n

σ=√(0.44(1-0.44))/400

σ=√(0.44×0.56)/400

σ=0.025

Using the z-table, the values are as follows:

z=(p-μ)/σ

z=(0.375-0.44)/0.025

z=-2.6

p(p>0.375)

=p(z>-2.6)

=1-p(z<-2.6)

=1-0.0047

=0.9953

=99.53%

Therefore, the likelihood that at least 150 people will participate and provide information in a new sample of 400 telephone numbers

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a) 214 in base-five is 1324.

b) 62 in base-five is 222.

c) 8 in base-five is 13.

d) 95 in base-five is 340.

a) To determine the base five representation of 214, we need to   find the largest power of five that  is less than or equal to  214.

In this case, 125 (5³) is the largest power of five   that is less than 214.

Now, we divide 214 by 125 -  

214 ÷ 125 = 1 remainder 89

Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -  

89 ÷ 25 = 3 remainder 14

Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -  

14 ÷ 5 = 2 remainder 4

Therefore, the base-five representation of 214 is 1324 in base-five.

b) Following the same steps as above -  

62 ÷ 25 = 2 remainder 12

12 ÷ 5 = 2 remainder 2

Hence,  the base-five representation of 62 is 222 in base-five.

c) 8 ÷ 5 = 1 remainder 3

this menas that  the base-five representation of 8 is 13 in base-five.

d) Following the same steps as above -  

95 ÷ 125 = 0 remainder 95

95 ÷ 25 = 3 remainder 20

20 ÷ 5 = 4 remainder 0

Hence, the base-five representation of 95 is 340 in base-five.

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Answer:

answer is in explanation

Step-by-step explanation:

with multiplication of fractions just have to multiply horizontally across.

Answer:

The correct answer is 5.672 x 10^3

Step-by-step explanation:

change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3

Answer:  (-1, -2)

===========================================================

Explanation:

Plot (3,-2) on the xy grid. Then draw a vertical line through 1 on the x axis.

Note that the horizontal distance from the point to the line is exactly 2 units. We move 2 units to the left to go from (3,-2) to (1,-2). Then we move another 2 units to the left to arrive at the final destination of (-1, -2)

In short, (3,-2) reflects over the vertical line x = 1 to get to (-1, -2)

See the diagram below.

You should survey at least 97 families in order to estimate the mean family income in the rural area of Florida with a margin of error of $1,000 and an expected standard deviation of $5,000, assuming a 95% confidence level.

To determine the sample size required for the survey, we need to consider the desired margin of error, the expected standard deviation, and the desired level of confidence. In this case, you mentioned that the margin of error should be within $1,000 and the expected standard deviation is $5,000. However, you didn't mention the desired level of confidence.

Typically, a 95% confidence level is used, which means we want to be 95% confident that the true mean family income falls within the margin of error. Based on this assumption, we can calculate the required sample size using the following formula:

n = (Z^2 * σ^2) / E^2

n = required sample size

Z = Z-score corresponding to the desired confidence level

σ = standard deviation

E = margin of error

For a 95% confidence level, the Z-score is approximately 1.96 (assuming a normal distribution).

Substituting the values into the formula, we get:

n = (1.96^2 * 5000^2) / 1000^2

n ≈ (3.8416 * 25,000,000) / 1,000,000

n ≈ 96,040,000 / 1,000,000

n ≈ 96.04

Since you cannot have a fraction of a family, you would need to round up the sample size to the nearest whole number. Therefore, you should survey at least 97 families and an expected standard deviation of $5,000, assuming a 95% confidence level.

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The inequality that could be used to determine the range of body temperature is given as follows:

|t - 100| ≤ 1.2.

The difference between the body's temperature from the normal temperature is given as follows:

|t - 100|.

The absolute value is used as the difference can be either positive or negative.

The difference can be of as much as 1.2 ºF, hence the inequality is given as follows:

|t - 100| ≤ 1.2.

(as much as = at most).

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Answer:

4

Step-by-step explanation: midpoint means between so from 1 to b the midpoint is 4

The probability of landing on just green is 1 / 6.

What is Probability?

The measure of the likelihood of an event to occur is called Probability.

Given that;

The probability of landing on red on a certain spinner = 3/8

The probability of landing on either red or green = 13/24.

Now,

The probability of landing on just green = 13/ 24 - 3/8

                                                             = 13/24 - 9 / 24

                                                             = 4 / 24

                                                             = 1 / 6

Thus, The probability of landing on just green is 1 / 6.

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Answer:

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Area of the square = side²

Area

\( = {8}^{2} \\ = 64 \: m {}^{2} \)

✏ The area of the square is D. 64 square metres.

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