Mrs. Walker's Period A and Period B Biology classes each grew a plant and recorded the heights, at various times, over a five week period. The graphs generated from this data are shown below.

In 1990, 19 billion dollars worth of books were sold.

The formula for exponential growth is [tex]y = y_0e^{(kt)}.[/tex]

The formula for exponential decay is [tex]y = y_0e^{(-kt)}.[/tex]

We know a function is called an exponential function when the independent variable is the exponent.

An example of an exponential function is, aˣ.

Given, The equation y = 19(1.057) represents book sales in billions of dollars since 1990.

The equation is, y = 19(1.057)ˣ, Where x = the number of years.

Therefore, At x = 0 or in 1990,

y = 19(1.057)⁰.

y = 19(1).

y = 19 billion dollars

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Answer:

The new vertices of the rectangle after applying a scale factor of 3 with a center of dilation at (2, -4) are E'(-1, -11), F'(7, -11), G'(7, -15), and H'(-1, -15

Step-by-step explanation:

The true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.

Margin of error is a statistical term that refers to the amount of random sampling error that is present in a survey or statistical estimate. In other words, it is the amount of uncertainty or variation that is inherent in any statistical measurement or survey result.

To construct a 98% confidence interval for the mean amount of money spent on lunch per week for all students, we need to use the formula:

Confidence interval = sample mean ± (z-score)(standard error)

Here, the sample mean is $22, the margin of error is 2, and the sample size is 273. To find the z-score for a 98% confidence interval, we can use a standard normal distribution table or calculator. The z-score for a 98% confidence interval is approximately 2.33.

To calculate the standard error, we need to use the formula:

[tex]Standard Error = \frac{standard Deviation}{\sqrt{sample Size} }[/tex]

Since the standard deviation is not given, we can estimate it using the sample standard deviation. Let's assume that the sample standard deviation is $8. The Standard Error calculated as:

[tex]Standard Error = \frac{8}{\sqrt{273} }[/tex]  ≈ 0.48

Substituting the values into the formula for the confidence interval, we get:

Confidence interval = $22 ± 2.33(0.48) ≈ $20.12 to $23.88

Therefore, we can be 98% confident that the true mean amount of money spent on lunch per week for all students falls within the range of $20.12 to $23.88.

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The distance from the island to Gatsby's dock is 1.3 miles.

A Pythagoras theorem is a principle that can be used to determine the unknown side of a right angled triangle when the other two sides are known.

Applying the Pythagoras theorem to the given question, let the distance from island to Gatsby's dock be represented by s. Then;

/Hyp/^2 = /Opp/^2 + /Adj/^2

s^2 = 1.2^2 + 0.5^2

      = 1.44 + 0.25

      = 1.69

s = 1.69^1/2

  = 1.3

Thus, the straight-line distance from the island to Gatsby's dock is 1.3 miles.

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The measures of the angles obtained using circle theorems are presented as follows;

a = 90°, b = 12°, c = 64°, d = 54°, e = 54°, f = 48°, g = 66°, h = 32°, i = 36°, and j = 20°

Circle theorems are theorems that indicates the relationships between angles, sector, chords, and tangent in a circle.

Please find the possible drawing in the question created with MS Word

a + a = 2·a = 180° (Linear pair angles)

a = 180°/2 = 90°

a = 90°

The right triangle with the acute angle angle of 78° indicates;

b = 90° - 78° = 12°

b = 12°

The angle at the center theorem indicates that we get;

The base angle of the large isosceles triangle = 2 × 32° = 64°

∠c is a base angle of the large triangle, therefore;

c = 64°

2·c + d = 180°

d = 180° - 2 × 48° = 54°

e = d = 54°

e = 54°

The angle at the circumference of the circle with angle ∠g and and ∠f = 4·b

Angle at the circumference = 4 × 12° = 48° = ∠f

f = 48°

Angle ∠g is equivalent to a base angle of the isosceles triangle, therefore;

∠g = (180° - 48°)/2 = 66°

g = 66°

Angle at the vertex of the triangle with angle h is equivalent to the base angle of the large triangle, therefore;

2·h = 64°

h = 64°/2 = 32°

h = 32°

Angle at the center = 2 × (180° - 2 × 48°) = 168°

5b + 2f + i + 168° = 360° (Angle sum property of a quadrilateral)

i = 360° - (5b + 2f + i + 168)

i = (360 - (5×12 + 2×48 + 168) = 36

i = 36

5b + 2h + i + j = 180

j = 180 - (5b + 2h + i)

j = 180 - (5 × 12 + 2 × 32 + 36) = 20°

j = 20°

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The piecewise function that models model the water level L (x) (in inches) as a function of the number of days x since the beginning of the drought is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which;

A piecewise function is a function with different definitions, based on the input of the function.

For the first 14 days, the parameters are given as follows:

Hence:

L(x) = 60 - 2x, 0 ≤ x ≤ 14.

For the last 5 days, the parameters are obtained as follows:

Hence:

L(x) = 30 + 5x, 15 ≤ x ≤ 19.

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Answer:

the frequency of the recessive allele in the population is 0.5 or 50%.

Step-by-step explanation:

In a population in Hardy-Weinberg equilibrium, the frequency of alleles remains constant from generation to generation. According to the Hardy-Weinberg law, if p is the frequency of the dominant allele and q is the frequency of the recessive allele, then:

p + q = 1

and

p^2 + 2pq + q^2 = 1

where p^2 represents the frequency of homozygous dominant individuals, 2pq represents the frequency of heterozygous individuals, and q^2 represents the frequency of homozygous recessive individuals.

Given that the frequency of dominant yellow-flowered plants is 50%, or 0.5, we can assume that p = 0.5. Substituting into the first equation, we get:

0.5 + q = 1

Solving for q, we get:

q = 1 - 0.5

q = 0.5

Therefore, the frequency of the recessive allele in the population is 0.5 or 50%.

Answer:true

Step-by-step explanation:

Answer:

Values from the set = 1, 2, 3, 4.

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The inequation is,

→ 4x - 2 < 15

Then the value of x will be,

→ 4x - 2 < 15

→ 4x < 15 + 2

→ 4x < 17

→ x < 17/4

→ [ x < 4.25 ]

Hence, the answer is x < 4.25.

Answer:

well...it depends how much ice cream ia in the cone...if its 3 or more it Will definently overflow.

$54.28 rounded to the nearest 10 dollars is $50.00

Answer:

We can use the given equation to solve for the advertising expenditures needed to achieve the target sales volume of $125,000:

125 = 45.15 + 0.54x

where x is the advertising expenditures in thousands of dollars.

Simplifying the equation:

0.54x = 125 - 45.15

0.54x = 79.85

x = 79.85 / 0.54

x ≈ 147.69

Therefore, the sales manager should allocate about $147,690 for advertising in the budget to achieve the target sales volume of $125,000.

Step-by-step explanation:

1. The value of the variable 'x' is 10 that is written as x = 10.

2. The equation is ∠3 + ∠4 = 90°. Then angles ∠3 and ∠4 will be complementary angles.

3. The measure of angle ∠2 is 60° which is an acute angle.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

1.  ∠1 = 6x + 45 and ∠3 = 9x + 15

Angle ∠1 and angle ∠3 are opposite angles. Then the equation is given as,

∠1 = ∠3

9x + 15 = 6x + 45

9x - 6x = 45 - 15

3x = 30

x = 30 / 3

x = 10

2.  Angle ∠2, angle ∠3, and angle ∠4 are supplementary angles. Then the equation is given as,

∠2 + ∠3 + ∠4 = 180°

90° + ∠3 + ∠4 = 180°

∠3 + ∠4 = 90°

3.  Angle ∠1 is 120°, then the measure of angle ∠2 is given as,

∠1 + ∠2 = 180°

120° + ∠2 = 180°

∠2 = 60° (acute)

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The equation 2 2/3 × 2/3 = 2 4/9 is true.

A fraction represents a part of a whole or a ratio between two quantities. It is written as a/b, where "a" is the numerator and "b" is the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole or the ratio.

The equation that is true is:

C. 2 2/3 × 2/3 = 2 4/9

To solve the problem, we can convert the mixed numbers to improper fractions, and then multiply:

2 2/3 = 8/3

2/3 = 2/3

8/3 × 2/3 = 16/9

We can then convert the improper fraction back to a mixed number:

16/9 = 1 7/9

Therefore, the equation 2 2/3 × 2/3 = 2 4/9 is true.

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From the image given, inequality is -2≤x<8 from x≥-2, x<8. It serves as a concrete example of inequality.

Broadly speaking, a mathematical phrase that defines an order relationship between two integers equivalent algebraic expressions, showing whether one is bigger than, equal to, smaller than, or smaller than and equal to the other.

The sentence "5x - 4 > 2x + 3" seems like an equation because the mathematical sign for "equals" has indeed been replaced by an arrowhead. It serves as a concrete example of inequality. From the image given, inequality is -2≤x<8 from x≥-2, x<8.

Therefore, from the image given, inequality is -2≤x<8 from x≥-2, x<8.

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Answer:

64 people

Step-by-step explanation:

I'm not so sure but I think its right.

Here's how I figured it out:

60x2=120

42x2=84

120-20=100%

84-20=64

Answer:

Jumlah uang tabungan Elsa setiap bulan dapat dihitung dengan rumus:

A = P(1 + r)^n

dimana:

A = jumlah uang tabungan akhir

P = jumlah uang tabungan awal

r = tingkat bunga per bulan (dalam desimal)

n = jumlah bulan

Dalam kasus ini, P = Rp.2.000.000,00, r = 0,5% atau 0,005 per bulan, dan n = 10 bulan.

Maka,

A = 2.000.000(1 + 0,005)^10

= 2.000.000(1,005)^10

= 2.000.000(1,0512)

= Rp.2.102.400,00

Jadi, jumlah uang tabungan Elsa di bank setelah 10 bulan adalah Rp.2.102.400,00.

Step-by-step explanation:

Comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for less principal amount.

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given,

Interest earned by Tommy SI = $140

Time t = 5 years

Principal amount P = $400

Interest earned by Jane SI = $132

Time t = 4 years

Principal amount P = $600

Simple interest SI = (P × r × t)/100

where r = interest rate

For Tommy,

140 = ( 400 × r × 5) /100

r = 7%

For Jane,

132 = ( 600 × r × 4) / 100

r = 5.5%

Therefore comparing the interest rates of Jane and Tommy, we can say that Tommy's bank is better because he earns more amount of money for the less principal amount.

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1. The Range of Elevation for Long beach is 367 feet.

2. The Range of Elevation for New Orleans is 33 feet.

3. New Orleans have the average of 2 feet below sea.

In statistics, the range is the difference between the highest and lowest values for a given data collection.

Given:

1. The Range of Elevation for Long beach

= Highest - Lowest

= 360 - (-7)

= 360 + 7

= 367 feet

2. The Range of Elevation for New Orleans

= Highest - Lowest

= 25- (-8)

= 25+ 8

= 33 feet

3. New Orleans have the average of 2 feet below sea.

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This could result in one, two, or multiple points of intersection, depending on the specific values of the deposits and the rates of increase.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

we can assume that the graph of Cera's and Bethany's savings accounts will show the total amount of money in their accounts after a certain number of weeks.

Since both Cera and Bethany deposit the same amount of money and make the same additional deposits each week, their savings will increase at the same rate. Therefore, the graph will likely show two parallel lines that start at $20 and increase by $15 per week.

The number of solutions modeled by the graph will depend on whether the two lines ever intersect. If the lines do not intersect, then there is no solution to the system of equations that model the two savings accounts. In other words, there is no point at which the total amount of money in both accounts is the same.

On the other hand, if the lines do intersect, then there is at least one solution to the system of equations. In this case, the point of intersection represents the week at which the total amount of money in both accounts is the same.

To change the situation so that the graphs model a different number of solutions, we could change the initial deposit or the amount of money deposited each week for one or both of the savings accounts. For example, if Cera starts with a higher initial deposit than Bethany, or if Cera deposits more money each week, then their savings will increase at different rates and the lines on the graph will not be parallel.

Therefore, This could result in one, two, or multiple points of intersection, depending on the specific values of the deposits and the rates of increase.

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The answer to the probabilities are: (a) 0.8,  (b)  0.2  (c)  0.3  (d)  0.7

Probability is a branch of mathematics used to measure how likely something is to happen. It is calculated by taking into account the chance that a given event will occur, as well as taking into account an exhaustive set of equally likely outcomes

The percentage of married women is 80%

the number of women is 10

The probability that all of them dislike their mother in-laws is

P(x) = Number of required outcome/Number of possible outcomes

80/100 * 10  = 8 women

a)  P(All of them dislike their mother in-law is 8/10 = 0.8

b)  P(none of them dislike their mother-in-law is

P(x) = 1 0.8 = 0.2

c)  P(At least eight of them dislike their mother-in-law)

P(x) = 8, 9, 10 = 3

Therefore,  the probability is 3/10 = 0.3

d) P(no more than seven dislike their mother in-law

1,2,3,4,5,6,7 = 7

P(x) = 7/10 = .0.7

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1. The volume of a cone is  8π cubic inches.

2. The volume of a sphere is  8π cubic inches.

3. The volume of a cube is  8π cubic inches.

4. The volume of a cylinder is  8π cubic inches.

5. The volume of a rectangular prism is  8π cubic inches.

The volume of a thing is the area that it occupies in three dimensions. Space is what a thing occupies, to put it simply.

1. The volume of a cone is given by V = (1/3)πr²h, where r is the radius and h is the height. Substituting the given values, we get V = (1/3)π(2²)(6) = (4/3)π(6) = 8π cubic inches.

2. The volume of a sphere is given by V = (4/3)πr³, where r is the radius. Substituting the given value, we get V = (4/3)π(24³) = 18432π cubic inches.

3. The volume of a cube is given by V = s³, where s is the side length. Substituting the given value, we get V = 6³ = 216 cubic inches.

4. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height. Substituting the given values, we get V = π(4²)(5) = 80π cubic inches.

5. The volume of a rectangular prism is given by V = lwh, where l, w, and h are the length, width, and height, respectively. Substituting the given values, we get V = (9)(5)(5) = 225 cubic inches.

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Answer:

Step-by-step explanation:

The length of a rectangular picture frame is 3 inches longer than it's width. If the perimeter of the picture frame is 38 Inches, what is the length and width ?

Given :

Perimeter of rectangle is 38 Inches

lenght is 3 inches more than the breadth.

let, width be x, and length be x+3

So, Breadth is 8 inches and length is 8+3= 11 inches.

Let's verify ::

Thus Solved !!

Answer:

2

Step-by-step explanation:

you first follow the BODMAS law then you divide 1/3÷2/3 It will give you 1/2 so you 3/2-1/2 +1 it will give you 2

Answer:

1200ml or 1.2l of water

Step-by-step explanation:

concentrate:water

1:3

400:x

3×400=1200

400:1200

1200ml or 1.2l of water

Answer: The researcher has made a Type II error in this case.

A Type II error occurs when the null hypothesis is not rejected even though it is false, i.e., the researcher fails to detect a significant difference when one actually exists. In this case, the null hypothesis is that the mean weight of the spice packets is 50 g, and the researcher has failed to reject this null hypothesis based on the sample mean of 50 g.

However, the population mean is not actually 50 g, and the researcher has made an error in failing to detect this difference. The sample size of 60 boxes may not have been large enough to detect a significant difference, or there may have been other factors that affected the measurements.

Therefore, the researcher has made a Type II error in this case by failing to reject the null hypothesis when it is actually false.

Step-by-step explanation:

Answer:

c step 3

Step-by-step explanation:

from the correct x^(2/5) do we suddenly get to

x^(5/2).

1/x³ = x^(-3) is a correct identity, and using it has no impact on x^(2/5). that should still stay x^(2/5).

the correct step 3 is then

x^(2/5)x^(-3)

step 4 is then

x^(2/5 - 3) = x^(2/5 - 15/5) = x^(-13)/5

Answer: The area of a square is given by the formula A = s^2, where s is the length of a side of the square.

In this case, the length of the field is 5x³y5, so each side of the square is also 5x³y5. Therefore, the area of the square can be found as:

A = (5x³y5)^2

A = 25x^6y^10

So the area of the field in terms of x and y is 25x^6y^10.

Step-by-step explanation:

a + 8. This expression represents the total number of almonds that Daniel snacked on in all.

What is the difference between expression and equation?

An expression is a mathematical phrase that contains numbers, variables, and operations. It can be evaluated to produce a single numerical value or another expression. Expressions do not contain an equal sign (=), and they do not represent a statement that is either true or false.

An equation, on the other hand, is a mathematical statement that shows the equality between two expressions. It contains an equal sign (=) and represents a statement that is either true or false. Equations typically contain variables that can take on different values, and they can be used to solve for an unknown variable by manipulating the equation using algebraic operations.

To summarize, expressions are mathematical phrases that do not contain an equal sign and can be evaluated to produce a value, while equations are mathematical statements that do contain an equal sign and represent a relationship between two expressions that is either true or false.

We can use addition to represent the total number of almonds that Daniel snacked on. If Daniel snacked on an initial amount of almonds, say "a", and then snacked on an additional 8 almonds, we can write the expression:

a + 8

This expression represents the total number of almonds that Daniel snacked on in all.

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Answer:

8,192

Step-by-step explanation:

20/100*80 =16 apply tjis in every step as they asked 4 times