As per weight measurement, half cup of butter is equal to 113 grams or eight tablespoons of butter. In ounces it is actually 4oz.
An object's weight serves as a gauge for its weight. Weight is expressed in common units of measurement. The weight of an object can be measured with tools using the gram and kilogram. The metric system that is universally accepted as a reference for measurements is called the International System of Units. The kilogram is the SI unit for mass or weight.
A common unit of measurement for cooking volume is the cup, which is used to determine serving and cooking sizes. Normal conversion: 1 cup = 8 liquid ounces = 1/2 pint. 16 fluid ounces divided by 2 cups equals one pint. 4 cups are equivalent to 32 fluid ounces, 2 pints, and 1 quart. 8 cups equal 64 fluid ounces, or 4 pints.
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1.Find the lateral area of a cone with a radius of 7 ft. and a slant height of 13 ft. Use 3.14 for ð and round to the nearest tenth. 439.6 ft2 324.5 ft2 571.5 ft2 285.7 ft2 2.Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. 1056 cm2 1536 cm2 816 cm2 1344 cm2 3.Find the volume of a rectangular prism with the following dimensions: Length = 5 mm Base = 7 mm Height = 3 mm 142 mm2 105 mm2 126 mm2 130 mm2 4.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm. 324 cm3 108 cm3 36 cm3 152 cm3 5.Find the volume of a cone with a radius of 10 mm and a height of 6 mm. 628 mm3 600 mm3 1,884 mm3 1,254 mm3 1.D 2.C 3.? 4.? 5.?
All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.
What in math is a volume?In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.
By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.
(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:
L = π(7)(13) ≈ 285.7 ft²
Rounding to the nearest tenth, the answer is 285.7 ft².
(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:
B = (24)² = 576 cm²
The perimeter of the base is 4 times the base length, so we have:
P = 4(24) = 96 cm
Now we can use the formula to find the surface area:
A = 576 + (1/2)(96)(16) = 1056 cm²
Therefore, the surface area of the square pyramid is 1056 cm².
(3) The volume of a rectangular prism can be calculated using the formula V = lwh,
where
l is the length
w is the base
h is the height
V is the volume.
Substituting the given values, we have:
V = (5)(7)(3) = 105 mm³
Therefore, the volume of the rectangular prism is 105 mm³.
(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:
B = (9)² = 81 cm²
Now we can use the formula to find the volume:
V = (1/3)(81)(4) = 108 cm³
Therefore, the volume of the square pyramid is 108 cm³.
(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:
V = (1/3)π(10)²(6) ≈ 628.3 mm³
Rounding to the nearest whole number, the answer is 628 mm³.
Therefore, the volume of the cone is 628 mm³.
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what value of h is needed to complete the square for the equation
To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],
we need to choose h = -2.
To complete the square for the given equation
[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],
we need to express the left-hand side of the equation in the form
[tex](x - p)^2 + q[/tex], where p and q are constants.
We can start by expanding the right-hand side of the equation:
[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]
Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:
[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]
=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)
=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)
=> h = -2 (solving for h)
=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)
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The complete question may be:
What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?
Figure 1 and figure 2 are right triangles. two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 5 units long What scale factor was used to produce Figure 2 from Figure 1? 3 over 5 5 over 3 3 5
The scale factor used to produce Figure 2 from Figure 1 is 5 over 3.
What is scale factor?Scale factor is a numerical value used to represent the proportional change between two similar objects. This value is often used to compare the size of objects in different measurements, such as inches to millimeters or feet to meters. Furthermore, the scale factor can be used to find the area, volume, or surface area of an object, as the measurements are proportional to the scale factor. This is especially useful when objects are enlarged or reduced, as it allows for the accurate calculation of the changed measurements.
This is because Figure 2 has legs that are 5 units long and Figure 1 has legs that are 3 units long. The ratio of the legs of Figure 2 to the legs of Figure 1 is 5/3, which is the scale factor used to produce Figure 2 from Figure 1.
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The correct answer is C, 3
HELPPPP PLSSS!!!
4) Practice: Summarizing
Write x1, y1, x2, and y2 in the blanks to complete the formula.
slope = -----------
. The distance from Santa Maria to Los Alamos is 16.25 mi. What is the distance in cm?
Answer: Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
Step-by-step explanation:
To convert miles to centimeters, we need to use the following conversion factors:
1 mile = 160,934.4 centimeters
So, to find the distance from Santa Maria to Los Alamos in centimeters, we can use the following calculation:
16.25 miles x 160,934.4 centimeters/mile = 2,612,951.6 centimeters
Therefore, the distance from Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
1 mile = 160,934 centimeters
16.25 miles = ?
16.25 * 160,934 = ?
16.25 miles = 2,615,184 centimeters
Bilquis is going to invest in an account paying an interest rate of 5.6% compounded continuously. How much would Bilquis need to invest, to the nearest dollar, for the value of the account to reach $84,000 in 19 years?
Answer: $29830
Step-by-step explanation:
Every year the amount he has (in the bank lets say) goes up by 5.6%. This can be explained as multiplying by 1.056, as it basically take the one and adds 0.056 which is equivalent to 5.6%. If we are trying to find the end value after 19 years, we would have multiplied our original value by 1.056, 19 times. We can find how much that is by calculating 1.056 to the power of 19, which equals 2.8159. This is how much the money would have increased over the 19 years. Dividing the final value by 2.8159 will get us the original value. $84,000 / 2.8159 = ~ $ 29830. I have already rounded up so this should be the answer.
Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m
The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.
help pls
The box plot shows the times for sprinters on a track team.
A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 42, 44, 50, 54, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.
What is the value of the upper quartile?
52
53
54
56
The upper quartile of the data set is, 56.
What is mean by Addition?The process for combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The values of 42, 44, 50, 54, and 56 are all marked by the box plot.
Hence, The value of upper quartile is,
⇒ Upper quartile = 3/4 (n + 1)
Where, n is number of terms.
Hence, We get;
⇒ Upper quartile = 3/4 (5 + 1)
= 3/4 × 6
= 4.5
≈ 5th term
Thus, The value of Upper quartile = 56
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Samuel found the difference of the polynomials.
(15x^(2)+11y^(2)+8x)-(7x^(2)+5y^(2)+2x)
Samuel found the difference between the polynomials is 8x² + 6y² + 6x.
What is the polynomials?
An expression that contains coefficients, variables, non-negative integer exponents, and constants is known as a polynomial.
To find the difference between the polynomials, we need to subtract the second polynomial from the first polynomial.
(15x² + 11y² + 8x) - (7x² + 5y² + 2x)
First, we can simplify the coefficients of the like terms by subtracting them:
15x² - 7x² + 11y² - 5y² + 8x - 2x
Simplifying further, we get:
8x² + 6y² + 6x
Therefore, the difference between the polynomials is 8x² + 6y² + 6x.
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Rob has $7,869 in an account that earns 13% interest compounded annually.To the nearest cent, how much will he have in 5 years?
Step-by-step explanation:
Principal (P)=$7869
Rate (R)= 13%
Time (T)= 5 years
Compound Interest (CI)=?
We know that,
CI = P { (1+R/100)^T -1}
= $7869 {(1+13/100)^5 -1}
= $7869 {(113/100)^5 -1}
= $7869 {(1.13)^5 -1}
= $7869 {1.84-1}
= $7869 × 0.84
= $6609.96
Compound Amount= CI+p
= $6609.96+7869
= $14478.96
Therefore, he will have $14478.96 after 5 years.
What is the binomial probability formula used for?
The binomial probability formula calculates the probability of obtaining a specific number of successes in a fixed number of independent trials, each with the same probability of success
The binomial probability formula is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, each with the same probability of success.
The formula is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where:
P(X=k) is the probability of obtaining k successes
n is the total number of trials
p is the probability of success in each trial
(n choose k) represents the number of ways to choose k successes from n trials, and is calculated as n! / (k! * (n-k)!)
Therefore, the uses of binomial probability formula has been explained
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The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.
The binomial probability formula is used to calculate the probability of obtaining a specific number of successes in a fixed number of independent Bernoulli trials. In other words, it helps us determine the likelihood of achieving a certain outcome in a series of experiments, where each experiment can result in one of two possible outcomes (success or failure).
The formula is given by P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where P(X=k) represents the probability of getting exactly k successes, n is the total number of trials, p is the probability of success in a single trial, and (n choose k) is the binomial coefficient.
For example, let's say you flip a fair coin 10 times and want to know the probability of getting exactly 7 heads. In this case, n = 10 (number of trials), k = 7 (number of successes), and p = 0.5 (probability of heads). Plugging these values into the binomial probability formula will give you the desired probability.
The binomial probability formula is widely used in various fields, including statistics, probability theory, and genetics, to analyze and predict outcomes in situations with binary events.
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how many billion in a trillion
Answer:
1,000,000,000,000 = 1,000,000,000 × 1,000
Step-by-step explanation:
1,000,000,000,000 = 1,000,000,000 × 1,000One trillion equals a thousand billions, or a million millions.
Use the terms domain, range independent variable and dependent variable to explain how function relates one variable to another variable. Fill in the blanks below: A function is a rule that assigns to each value of the in the unique value of the in tne
A function is a rule that assigns to each value of the independent variable in the domain unique value of the dependent variable in the range.
The domain of a function is defined as the set of all possible values that a function can take as input.
The range of a function is defined as the set of all values of a function that it takes as output.
The variable that represents the input values of a given function is called the independent variable.
The variable that represents the output values of a given function is called the dependent variable.
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In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect _____ .a. the sample standard deviationb. the sample meanc. the sample mediand. none of the above.
In general, if the sample size is large, adding an extremely large outlier to a data set will not substantially affect sample mean. The correct option is (b) sample mean
The sample size is large, adding an extremely large outlier to a data set will not substantially affect the sample mean.
This is because the sample mean is a measure of central tendency that is influenced by all the values in the dataset, but it is more affected by the values that are closer to it in magnitude. When the sample size is large, the impact of any individual outlier on the overall mean is typically reduced, as the outlier will be more likely to be balanced out by the other values in the dataset.
However, the addition of an extremely large outlier may still have an impact on the sample standard deviation and median, depending on the magnitude and distribution of the other values in the dataset.
Therefore, the correct option is (b) sample mean
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PLEASE HELP!!!!!!!!!! Use an algebraic method (substitution or elimination) to solve the system of equations. Show your work.
4 − 2 = 16
2 + 3 = 32
The requried solution to the system of equations is x = 7, y = 6.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To solve the system of equations:
4x - 2y = 16 - - -- - -(1)
2x + 3y = 32 - - - - - - (2)
We can use the method of substitution:
Solve one of the equations for one of the variables in terms of the other variable.
Let's solve the first equation for y:
4x - 2y = 16
-2y = -4x + 16
y = 2x - 8
Substitute the expression found in step 1 into the other equation 2.
2x + 3(2x - 8) = 32
Solve the resulting equation for the remaining variable.
2x + 6x - 24 = 32
8x - 24 = 32
8x = 56
x = 7
Substitute the value of x into one of the original equations to find the value of the other variable.
Using the first equation:
4x - 2y = 16
4(7) - 2y = 16
28 - 2y = 16
-2y = -12
y = 6
Therefore, the solution to the system of equations is x = 7, y = 6.
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Mr. Bloop was having a party! He made cupcakes for the guests, but many more people showed up than he expected. He decided to cut the cupcakes into fourths (they were rather large anyway). If Mr. Bloop had 36 cupcakes to start with, what is the maximum number of guests that he could serve cupcakes pieces?
Step-by-step explanation:
36 because since theres 36 people each person gets one for each
on a unit circle, 0=60degrees. Identify the terminal point and tan 0
stop giving wrong answers for points. Seriously.
On a unit circle, Ф = 60°, Then the terminal point and tanФis,
D. (1/2, √3/2), tanФ = √3.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
We know, tanФ = sinФ/cosФ.
From the unit circle, we also know that cos60° = 1/2 and sin60° = √3/2.
So, When Ф = 60°, cosФ = 1/2 and sinФ = √3/2.
Therefore, tan60° = sin60°/cos60°.
tan60° = (√3/2)/(1/2).
tan60° = √3.
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Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin.
Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked.
The question is, "Jada earns twice as much money per hour as Diego. Diego earns twice as much money per hour as Lin. Select all the graphs that could represent how much Jada, Diego, and Lin earn for different amounts of time worked."
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how many reflectional symmetries does this figure have?
The letter "F" has one reflectional symmetry. This symmetry can be seen by drawing a line that divides the letter "F" into two equal parts, such that the left and right sides are mirror images of each other.
This line of symmetry would run vertically down the middle of the letter "F", passing through the crossbar. The letter "F" has one reflectional symmetry. A reflectional symmetry is a type of symmetry where one half of an object is a mirror image of the other half. In the case of the letter "F", a line can be drawn vertically down the middle of the letter, passing through the crossbar, such that the left and right sides of the letter are mirror images of each other. This line is called a line of symmetry. Therefore, the letter "F" has one reflectional symmetry.
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The figure which is missing in the question is attached here-with the answer
how many ft in a meter
Answer:
there are 3 feet in one meter.
Step-by-step explanation:
12 inches = 1 foot.
39.3701 inches = 1 meter.
39.3701 ÷ 12 = 3.281.
3.281 is simplified to 3.
There are about 3 feet in 1 meter.
Hope this helped! Have a Good Day!
Its in the form of a picture
From the given information the quadrilateral QUAD is a rectangle because opposite sides are of the same length and the adjacent sides are perpendicular to each other.
What is a quadrilateral?
A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees. The diagonals are obtained by joining the opposing vertices of the quadrilateral.
From finding the lengths of the sides of the quadrilateral, we can see that two sides of the quadrilateral have the same length and the other two sides have the same length.
QU
length = √20
slope = 2
UA
length = √5
slope = -1/2
AD
length = √20
slope = 2
DQ
length = √5
slope = -1/2
Now the lines QU and UA are perpendicular to each other since the product of slopes is -1.
So QU ⊥ UA
similarly,
AD ⊥ UA
AD ⊥ DQ
Also, the lines QU and AD as well as the lines UA and DQ are parallel to each other as the slopes are the same.
Therefore from the given information the quadrilateral QUAD, is a rectangle because opposite sides are of same length and the adjacent sides are perpendicular to each other.
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what is 56 as a decimal?
Answer: 56 as a decimal is 0.56
Step-by-step explanation: Just simply add a decimal point in front of 56, and you’ll get 0.56
56 = 0.56
Hope this helps!
The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.7. (a) What are the mean and standard deviation of the average number of moths x in 60 traps? (b) Use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4
The probability that the moderate number of moths in 60 traps is more significant than 0.4 is approximately 0.9738 or 97.38%.
(a).
The mean number of moths = 60 traps
Now, the properties of normal distribution and central limit theorem are used.
mean of the individual moth counts = 0.5.
The standard deviation = the Standard deviation of the individual moth counts, divided by the square root of the sample size.
standard deviation = (0.7 / [tex]\sqrt{60}[/tex])
standard deviation = 0.0905
the mean number of moths and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905.
(b) .
By using the central limit theorem
The average number of moths in 60 traps = 0.4
The z-score formula is to be calculated by using:
Z = (sample mean - population mean) / (standard deviation/sqrt (sample size))
Substituting the given values, we have:
Z = (0.4 - 0.5) / (0.7 / sqrt(60))
Z = -1.94
The probability of a Z-score greater than -1.94 is approximately 0.9738.
Hence, we can conclude that the probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738.
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Determine the unknown angle measures of △DEF. Round to the nearest degree.
m∠D =
°
m∠F =
°
m∠D = 40°, m∠F = 65°, and m∠E = 75°. Round to the nearest degree.
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
To determine the unknown angle measures of △DEF, we can use the fact that the sum of the angles of a triangle is 180°. Thus, if we know two angle measures in the triangle, we can use them to calculate the third.
Let's denote the two known angle measures as m∠D and m∠F. We can use the following equation to solve for the unknown angle measure:
m∠D + m∠F + m∠E = 180°
We can rearrange the equation to solve for m∠E:
m∠E = 180° - m∠D - m∠F
Therefore, once we know the measures of m∠D and m∠F, we can calculate the measure of m∠E.
For example, if m∠D = 40° and m∠F = 65°, then the measure of m∠E would be:
m∠E = 180° - 40° - 65° = 75°
Therefore, m∠D = 40°, m∠F = 65°, and m∠E = 75°. Round to the nearest degree.
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What expression is equivalent to 3x+3x+3x
Answer:
[tex]\huge\boxed{\sf 9x}[/tex]
Step-by-step explanation:
Given expression:= 3x + 3x + 3x
Take x as common factor
= x(3 + 3 + 3)
= x (9)
= 9x[tex]\rule[225]{225}{2}[/tex]
5. You are buying your first vehicle and your uncle is able to get you a 12% discount on any
vehicle bought from Krumps Kars. The car you want to buy has an original price tag of $7800.
What will be the new price of the vehicle after the discount?
Before you start, should your answer be bigger or smaller than $7800? Bigger/Smaller
It has to be smaller than $7800
I am not sure if this answer is right.
Answer:
7800-936=6864
Step-by-step explanation:
x/12 7800/100
100x=93600
936
The perimeter of a rectangle measures 48 feet. The length is 4 times as long as the width. If 9 1/2 feet is added to the length of the original rectangle, what is the new length of the rectangle?
Since the polygon's perimeter equals the sum of its sides. This means that the perimeter (P) of a rectangle is;
P = the sum of all of its sides.
P = a + b + a + b In a rectangle, the opposite sides are equal.
P = 2(a + b)
Given a rectangle with length 4x and width x, what is its perimeter?
P equals 2(a + b), thus 48 equals 2(x + 4x).
48 = 2(x+4x)
48 = 2(5x)
48 = 10x
x = 4.8
4x = 19
19.2 feet in length and 4.8 feet in width when first built.
The new length would be 9.5+19.2=28.7 if 9 1/2 were added to the previous length.
A new length of 28.7 feet results as a result.
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i need help on this equation
Answer:
c
Step-by-step explanation:
DO THE MATH!!!!!!!PLEASE
In a laboratory experiment, the population of bacteria in a petri dish started off at 7500 and is growing exponentially at 14% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent.
Answer:
Step-by-step explanation:
The function to represent the population of bacteria after t days can be written as:
P(t) = P0 * (1 + r)^t
where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.
Substituting the values, we get:
P(t) = 7500 * (1 + 0.14)^t
Simplifying, we get:
P(t) = 7500 * 1.14^t
To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:
h = (1 + r)^(1/24) - 1
Substituting the value of r, we get:
h = (1 + 0.14)^(1/24) - 1
= 0.005521
So, the percentage rate of change per hour is:
h * 100% = 0.5521%
Rounding to the nearest hundredth of a percent, we get:
h * 100% ≈ 0.55%
Which percent accurately reflect the white section in the circle?
A. 38%
B. 48%
C. 62%
D. 68%
The percent that accurately reflects the white section in the circle is 38%. So, the correct option is A).
To find the percentage of the circle that is white, we need to divide the area of the white region by the area of the entire circle and multiply by 100.
Looking at the diagram, we can see that the white region takes up about 3/8 of the circle, or 37.5% (since 3/8 is equal to 0.375 or 37.5%). This is closest to answer choice A, which is 38%.
Therefore, the percent that accurately reflects the white section in the circle is 38%.
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