The diameter of the larger pie is 8 x sqrt(2) inches.
How to find the diameter?The area of a circle is proportional to the square of its diameter. If the diameter of a pie made with one can of pumpkin pie mix is 8 inches, then its area is (4 inches)^2 x pi = 16 pi square inches.
If two cans of pie mix are used to make a larger pie of the same thickness, the total area of the pie will be twice that of the smaller pie.
So, the area of the larger pie is 2 x 16 pi = 32 pi square inches.
To find the diameter of the larger pie, we need to solve for d in the equation:
Area of circle = (d/2)^2 x pi
32 pi = (d/2)^2 x pi
32 = (d/2)^2
Taking the square root of both sides, we get:
sqrt(32) = d/2 x sqrt(2)
d/2 = sqrt(32)/sqrt(2)
d/2 = 4 x sqrt(2)
d = 8 x sqrt(2)
Therefore, the diameter of the larger pie is 8 x sqrt(2) inches.
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How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
y=mx+b
Step-by-step explanation:
m=3
b=3
y=3x+3
Answer:
y = 3x + 3
Step-by-step explanation:
The slope intercept form is y = mx+b
M = slope
B = add on
To solve this problem, we must find to points on the line.
(1,6) and (2,9) are two possible points
x1 y1 x2 y2
To find the slope, we must do y2-y1/x2-x1
9-6/2-1 = 3/1
The slope, m, is 3
y= 3x + b
To find b, we need to plug in the numbers
(2,9)
9 = (2 * 3) + b
9 = 6+b
b= 3
The equation is y=3x+3
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Natalie walked 3/5 miles in 1/2 hour . How fast did she walk, in miles per hour?
Answer:
6/5
Step-by-step explanation:
you multiply by 2
A and D are points on a polygon. A' and D' are the points under a
translation. Find D'.
A(-2,11)
A’(8,22)
D(-10,9)
Answer:
D' is (16,20)
Step-by-step explanation:
A translation is the movement of the graphed line, either vertically or horizontally. The two given points are A and D:
A (2,11)
D (10,9)
When the line is translated, point A becomes A' (8,22).
Pint A is moved to the right by 6, and up by 11. Lets do the same for point D to make it D'
D' = (10+6, 9+11)
D' = (16,20)
See the attached graph.
Quantitative Problem 1t You deposit \( \$ 2,300 \) into an account that pays \( 6 \% \) per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How
You will be able to withdraw approximately $3,076.32 at the end of 5 years.
To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.
The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:
\(FV = PV * (1 + r)^t\)
Given:
PV = $2,300
r = 6% = 0.06 (decimal representation)
t = 5 years
Substituting these values into the formula, we get:
FV = $2,300 * \((1 + 0.06)^5\)
Calculating the expression inside the parentheses:
\((1 + 0.06)^5 = 1.338225\)
Multiplying the present value by this factor:
FV = $2,300 * 1.338225
FV ≈ $3,076.32
Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.
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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent
Under her cell phone plan, Grace pays a flat cost of $70 per month and $4 per gigabyte. She wants to keep her bill at $74.40 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Grace can use while staying within her budget. i don´t understand how to set up the problem.
The equation of the cell phone plan is y = 70 + 4x and the number of gigabyte is 1.10
How to determine the equation?The given parameters are:
Flat = $70 per month
Rate = $4 per gigabyte
Let the number of gigabyte be x, and the total cost be y.
So, we have:
y = Flat + Rate * x
So, we have:
y = 70 + 4x
When the bill is $74.40, we have:
74.40 = 70 + 4x
Subtract 70 from both sides
4x = 4.40
Divide both sides by 4
x = 1.10
Hence, the equation is y = 70 + 4x and the number of gigabyte is 1.10
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how any units are in math
Answer:
Math is a broad field that encompasses several branches, each with its own units of measurement. Some examples of units in math include:
In geometry:- Units of length, such as meters, centimeters, and inches
Units of area, such as square meters, square centimeters, and square feet
Units of volume, such as cubic meters, cubic centimeters, and cubic feet- Units of weight or mass, such as kilograms, grams, and pounds - Units of time, such as seconds, minutes, and hours
Units of temperature, such as Celsius and
Fahrenheit
Units of angle measurement, such as degrees and radians
Units of speed or velocity, such as meters per second or miles per hour
Units of frequency, such as Hertz or cycles per second
Units of energy or work, such as joules, calories, and foot-pounds
Units of power, such as watts and horsepower
These are just a few examples of the many units used in math. The type of unit used depends on the specific problem or application.
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What is the surface area of the prism? 1,440 square inches 1,584 square inches 1,872 square inches 2,160 square inches
The surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.
What is a rectangular prism?
A rectangular prism is simply a three-dimensional solid shape with six faces that are rectangles.
The surface area of a rectangular prism is the sum of the areas of all the faces.
The surface area of a rectangular prism is expressed as:
S.A = 2( wl + hl + hw )
where,
w is the width,
l is the length,
and h is the height;
Thus; A = 2( (24× 18) + (12×18) + (12× 24)
= 2 ( 432 + 216 + 288 )
= 2 × 936
= 1,872 sq inches
Therefore, the surface area of the rectangular prism with the given length, width, and height is 1,872 square inches.
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Convert 76.4% to a fraction in simplest form and a decimal.
Answer:
In Fraction, it is 76 1/25
In decimal, it is 76.04
Step-by-step explanation:
The relationship between the number of pounds (lb) of peanuts and the price
in dollars is shown in the graph. What is the unit price of peanuts?
A. 1 lb/$6
B. $6/1 lb
C. $1/6 lb
D. $12/2 lb
The answer to the question "What is the unit price of peanuts?" is option B: The unit price of the peanuts as shown on the graph $6/1lb
By carefully observing the graph:
The price of the peanuts is on the vertical axis of the graph
The weight(pounds) of the peanut is on the horizontal axis
From the graph:
The price of 1 pound of peanut is $6
The price of 2 pounds of peanut is $12
The price of 3 pounds of peanut is $18
The price of 4 pounds of peanut is $24
The price of 5 pounds of peanut is $30
Therefore, the unit price of the peanuts as shown on the graph $6/1lb
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Answer: $6/1 lb
Step-by-step explanation:
A. 1 lb/$6
B. $6/1 lb
C. $1/6 lb
D. $12/2 lb
to factorize the following algebraic expression: 3x² + 6x + 4x + 8 Provide a three-step guide on how to factorize the expression.
Answer:
Check below:
Step-by-step explanation:
To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:
Step 1: Grouping
Group the terms in pairs so that you can factor out a common factor from each pair.
3x² + 6x + 4x + 8
(3x² + 6x) + (4x + 8)
Step 2: Factoring out the common factors
Factor out the common factors from each pair separately.
3x(x + 2) + 4(x + 2)
Step 3: Factoring out the common factor from the resulting expression
Notice that we have a common factor, (x + 2), in both terms.
(x + 2)(3x + 4)
Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).
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Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain which has a mutation in the gene encoding sigma-32?.
According to the sigma factor, the gene encoding sigma-32 states that Genes usually unregulated by heat shock will be less responsive to heat treatment.
Sigma factor:
Sigma factor defines that a detachable polypeptide subunit of RNA polymerase that facilitates the initiation of transcription by recognizing specific DNA promoter sites.
Given,
Sigma-32 is a sigma factor, which mediates response to heat shock. What is the most likely effect in an e. Coli strain.
Here we need to determine in which has a mutation in the gene encoding sigma-32.
While we looking into the given question, Sigma-32 is a sigma factor, which mediates response to heat shock.
Basically, the genes usually unregulated by heat shock will be less responsive to heat treatment.
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Gabriella is flying a kite, holding her hands a distance of 3.75 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 36^{\circ}
∘
. If the string from the kite to her hand is 140 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer:
the answer is 86ft
Step-by-step explanation:
The height of the kite above the ground is 86 feet.
Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.
Let h represent the height of the kite. Hence, using trigonometric ratios:
sin(36) = h / 140
h = 82.28 feet
Kite height above ground = 3.75 + 82.28 = 86 feet
Therefore the height of the kite above the ground is 86 feet.
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Consider a population regression model. For simplicity, ignore the subscript i that we normally attach with the variables. If k=2, then the model can be written as:
A. Y= β0 + β1X1 + β2X2 + e
B. Y = β0 + β1X1 + β2X2 +
C. Y = β0 + β1X1 + β2X2 = β0 + β1X1 + β2X2
D. Y = β0 + β1X1 + β2X2 + e
Among the given options (A, B, C, D), the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
In a population regression model, we are interested in modeling the relationship between a dependent variable (Y) and one or more independent variables (X1, X2, etc.). The model equation consists of the regression coefficients (β0, β1, β2, etc.) that represent the effect of each independent variable on the dependent variable, and the error term (e) that captures the unexplained variation in the data.
Among the given options, only option D includes all the necessary components of a population regression model with two independent variables (k = 2). It includes the dependent variable Y, the regression coefficients β0, β1, and β2 for the independent variables X1 and X2, respectively, and the error term e.
Options A, B, and C are incorrect because they either omit the error term or have an incomplete equation. The error term is crucial in accounting for the unobserved factors and random variation in the relationship between the variables.
Therefore, the correct population regression model when k = 2 is option D: Y = β0 + β1X1 + β2X2 + e.
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can you please answer this question I need to submit this to my teacher in 20min
Answer:
1/3
Step-by-step explanation:
total is 1.
Left = 1 - 2/3
= 1/3
draw a hypothetical demand curve for tickets to a particular rock concert. use the drop box to upload an image or file containing your demand curve.
The hypothetical demand curve for tickets to a particular rock concert is given in the image attached.
What is the hypothetical demand curve
According to Samuelson: theory, the law of demand states that people buy more at lower prices and less at higher prices when other things remain constant.
Note that by using the image,
Prices of ticket (cent) Demand by consumer
5 35
4 30
3 70
2 80
1 95
Therefore, "Demands curves show how much people will buy the ticket at different prices over time." The Curve shows consumer purchases at different prices.
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-18 1/2 + 27 82
Which expression best estimates
3
18-3
-18-3
-18+(-3)
m18+(-3)
a sample of 400 canadians, 220 say they would rather retire in the us than in canada. calculate the 95% confidence interval for the true proportion of canadians who would rather retire in the us.
Based on the sample of 400 Canadians, we can be 95% confident that the true proportion of Canadians who would rather retire in the US is between 50.16% and 59.84%. We can use the formula for a confidence interval for a proportion: CI = p ± z*√(p(1-p)/n)
Using the information given in your question, we can plug in the values: p = 220/400 = 0.55
z = 1.96
n = 400
Plugging these values into the formula, we get: CI = 0.55 ± 1.96*√(0.55(1-0.55)/400)
CI = 0.55 ± 0.049
CI = (0.501, 0.599)
Therefore, we can say with 95% confidence that the true proportion of Canadians who would rather retire in the US is between 0.501 and 0.599. This confidence interval was calculated using three key pieces of information: the sample proportion, the z-score for 95% confidence, and the sample size.
To calculate the 95% confidence interval for the true proportion of Canadians who would rather retire in the US, we first need to find the sample proportion (p-hat). In this case, p-hat is 220/400, which equals 0.55. Next, we use the formula for the 95% confidence interval, which is: p-hat ± Z * √(p-hat * (1-p-hat) / n). Here, Z is the critical value for a 95% confidence interval (1.96), and n is the sample size (400). Now, let's plug in the values: 0.55 ± 1.96 * √(0.55 * (1-0.55) / 400). This gives us: 0.55 ± 1.96 * √(0.2475 / 400), which simplifies to 0.55 ± 1.96 * 0.0247. Finally, we calculate the interval: 0.55 ± 0.0484. This results in a confidence interval of (0.5016, 0.5984).
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Ida is walking dogs to help pay for sports equipment. She gets paid $10 for every dog walked and made a total of $70 on Saturday. Write an equation to show how many dogs Ida walked Saturday.
10x = 70
10 − x = 70
70x = 10
70 − x = 10
Answer:10x7=70
Step-by-step explanation:
Answer:
A 10x = 70
Step-by-step explanation:
X represents the number of dogs Ida walked on Saturday.
At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answer:
D
Step-by-step explanation:
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Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?
The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.
The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.
Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):
275 liters / 1000 = 0.275 cubic meters
Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:
∛(0.275) ≈ 0.640
Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.
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The school cafeteria has 150 cups of strawberries and 450 cups of blackberries. How many total cups of berries does the school cafeteria have?
Total number of cups of berries does the school cafeteria have is 600
Addition is a basic mathematical operation that involves combining two or more numbers or quantities to find a total or sum. In other words, it is the process of finding the total amount when two or more numbers are added together.
To find the total number of cups of berries in the school cafeteria, you can add the number of cups of strawberries and blackberries.
The school cafeteria has 150 cups of strawberries and 450 cups of blackberries, so
Total cups of berries = cups of strawberries + cups of blackberries
Total cups of berries = 150 + 450
Total cups of berries = 600
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1. Find the surface area for the given prism. (11
8 in.
10 in.
14 in,
Answer:
SA = 664 square inches
Step-by-step explanation:
Surface area is the area of all the sides added together. A prism has six sides.
Take the dimensions and change them so each of the numbers are multiplied with the others.
14 * 10 * 8
14 * 10 = 140
14 * 8 = 112
10 * 8 = 80
Multiply each answer by 2 because there are two sides that have the same dimensions.
14 * 10 = 140 * 2 = 280
14 * 8 = 112 * 2 = 224
10 * 8 = 80 * 2 = 160
Add the areas together.
280 + 224 + 160 = 664
SA = 664 square inches
I NEED HELP PLEASE;(
Dinkel's Bakery is having a sale on pumpkin pies. Each pie is cut into 8 pieces. If they have 2 (1/8) pies left, and Ms. Harte purchases 1(3/8) pies for her HR, how many pies will be left?
Answer:
3/4ths im pretty sure
Step-by-step explanation:
2 1/8 ------- 1 9/8
- 1 3/8------- - 1 3/8
_______ ______
6/8= 3/4
how many ways are there to choose a dozen donuts from 15 varieties if (a) there are no restrictions?
There are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions. To determine the number of ways to choose a dozen donuts from 15 varieties with no restrictions, we can use the concept of combinations.
The number of ways to choose a dozen donuts from 15 varieties with no restrictions can be calculated using the combination formula. The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.
In this case, we have 15 varieties of donuts, and we want to choose 12 donuts. Applying the combination formula, we have C(15, 12) = 15! / (12!(15-12)!).
Evaluating this expression:
C(15, 12) = 15! / (12! * 3!) = (15 * 14 * 13 * 12!) / (12! * 3 * 2 * 1).
The factor of 12! cancels out in the numerator and denominator, leaving us with:
C(15, 12) = (15 * 14 * 13) / (3 * 2 * 1) = 455.
Therefore, there are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions.
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9(x - 2) = 7x + 5 a) true for all values of x b) true for one value of x c) true for no values of x
Answer:
b) true for one value
Explanation:
If you solve for x, there is only one value of x
Answer:
(b)
Step-by-step explanation:
9(x - 2) = 7x + 5 ← distribute left side
9x - 18 = 7x + 5 ( subtract 7x from both sides )
2x - 18 = 5 ( add 18 to both sides )
2x = 23 ( divide both sides by 2 )
x = \(\frac{23}{2}\)
What is the domain of the decreasing function?
Answer:
A function f is called decreasing on an interval if f (a) > f (b) whenever a < b and a, b are in the interval.
Step-by-step explanation:
The domain of the function shown here is the interval [1, 6].On the interval [1, 3], the graph of this function gets higher from left to right; thus we say that this function is increasing on the interval [1, 3].
On the interval [3, 6], the graph of this function gets lower from left to right; thus we say that this function is decreasing on the interval [3, 6].
a recent study focused on the amount of money single men and women save monthly. the information is summarized here. assume that the population standard deviations are unknown but equal. sample size sample mean sample standard deviation men 25 50 10 women 30 54 5 at the 0.01 significance level, do women save more money than men? what is the value of the test statistic for this hypothesis test?
Yes, women save more money than men. The value of the test statistic for this hypothesis test is 1.93.
The hypothesis test used in this case is a two-sample t-test. This test is used to compare two independent means from two different groups. The null hypothesis states that there is no difference between the means of the two groups, while the alternative hypothesis states that there is a difference.
To begin, the value of the test statistic must be calculated. The test statistic is calculated by subtracting the two means and dividing by the standard error. The standard error is calculated by taking the standard deviation of each group and dividing it by the square root of the sample size. So, for this hypothesis test, the test statistic is calculated as follows: (54 - 50) / (10/√25 + 5/√30) = 4 / (2.06) = 1.93.
To determine if women save more money than men, the test statistic must be compared to the critical value associated with the significance level. As the significance level is 0.01, the corresponding critical value is -2.575 and 2.575. Since the test statistic (1.93) is greater than the critical value (2.575), the null hypothesis can be rejected. This indicates that there is sufficient evidence to suggest that women save more money than men.
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2 geometry simple questions for 25 points!
hello! Please help me solve this and can you tell me how you solved it so i can learn how to do it?
Thank you so much!
The circumference of a tire with a diameter of 16 inches is 50.3 inches (rounded to one decimal place), calculated using the formula C = π * d.
What is multiplication ?Multiplication is a mathematical operation that involves adding a number to itself a certain number of times, or combining equal groups of objects to find the total quantity. It is represented by the "x" symbol and is used to find the product of two or more numbers. For example, 2 multiplied by 3 is equal to 6 (2 x 3 = 6). Multiplication is one of the fundamental arithmetic operations and is used in various mathematical concepts and applications in everyday life.
According to the given information:The circumference of a tire is the distance around its outer edge. It can be calculated using the formula C = π * d, where d is the diameter of the tire. The diameter is the distance from one edge of the tire to the opposite edge, passing through the center. In this case, given that the diameter of the tire is 16 inches, substituting this value into the formula gives C = π * 16 = 50.3 inches (rounded to one decimal place). Therefore, the correct answer is 50.3 inches, as it represents the circumference of a tire with a diameter of 16 inches. The other options provided are not correct, as they do not accurately calculate the circumference based on the given diameter.
Therefore, The circumference of a tire with a diameter of 16 inches is 50.3 inches (rounded to one decimal place), calculated using the formula C = π * d.
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Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
Janet’s car insurance payment decreases by $20 each year. Which expressions represent the total change in her payment,in dollars, after 5 years A. 20-20-20-20-20 B. 100 c. 5•(-20) d. -20•(-5) E. -100 pls answer my
Answer:
Option C is the correct answer.
C. 5•(-20)
Step-by-step explanation:
We are told that the insurance payment for the car follows a certain pattern that can be represented through an expression. The payment is decreasing by $20 every year. As we don't know the total payment amount per period, so we cannot calculate how much is paid per period/year for insurance but we can calculate the rate at which this payment is decreasing.
Change in payment = t * (-20)
The above expressions can be used to calculate the amount of change in payment i payment is decreasing by a constant $20 every year, after t years.
So, if we want to calculate the change in payment after say 5 years, we can replace t with 5 in the equation and calculate the change,
Change in payment = 5 * (-20)
Change in payment = - $100
Answer:
Step-by-step explanation:
oh im late-......