1. Using the mathematical operations of addition and multiplication, the number of polka dots that are in Polly's room is 130.
2. An expression representing the situation and solution is x + 2y + 4z + 15.
What is an expression?An expression is a mathematical statement combining variables, constants, numbers, and values with mathematical operands.
The mathematical operands for performing mathematical operations include addition (+), subtraction (-), multiplication (x), and division (÷).
The number of polka dots on the bedspread, x = 25
The number of polka dots on two pillows, 2y = 10 (5 x 2)
The number of polka dots on 4 sets of curtains, 4z = 80 (4 x 20)
The number of polka dots on 3 rugs = 15
The total number of polka dots in Polly's room = 130
Let x = 25, y = 5, and z = 20
Expression:x + 2y + 4z + 15
x + 2y + 4z + 15
= 25 + 2(5) + 4(20) + 15
= 25 + 10 + 80 + 15
= 130
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what might you conclude if a random sample of 29 time intervals between eruptuions has a mean greater than 106
If a random sample of 29 time intervals between eruptions has a mean greater than 106, it may be concluded that the average time between eruptions is longer than 106 units of time. However, it is important to note that the sample size of 29 may not be representative of the entire population of time intervals between eruptions, and therefore the conclusion drawn may not be entirely accurate.
Additionally, it is important to consider the variability of the data. If the standard deviation of the sample is high, it may indicate that there is a wide range of time intervals between eruptions, making it difficult to draw a definitive conclusion. On the other hand, if the standard deviation is low, it may indicate that the time intervals are more consistent, and the conclusion drawn may be more reliable.
Overall, it is important to consider both the mean and variability of the sample when drawing conclusions about the population of time intervals between eruptions. Further research and analysis may be necessary to validate the findings and provide a more accurate answer.
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1. Which graphs could represent a proportional relationship?
A. A
B. B
C. C
D. D
Answer:
a
Step-by-step explanation:
proportional relationship start from the origin (0,0)
they also have a line that goes upwards in an even relationship
they also can make points
follows the slope
The volume of a rectangular prism is 72 cubic units. If the length of the prism is 6 units, What might the width and height be? how many solution are there?
Explain your answer
Answer:
anything that adds up to twelve like 3 x 4 or 6 x 2 or 12 x 1 so three answers
the volume of cylinder is 448 pie cm cube and height 7 cm find its radius
Answer:
\(r =\bf 8 \space\ cm\)
Step-by-step explanation:
The formula for volume of a cylinder is as follows:
\(\boxed{Volume = \pi r^2 h}\)
where:
• r = radius (? cm)
• h = height (7 cm).
Substituting the values into the formula:
\(448 \pi = \pi \times r^2 \times 7\)
Now solve for \(r\):
⇒ \(r^2 = \frac{448 \pi }{\pi \times 7}\)
⇒ \(r = \sqrt{64}\)
⇒ \(r =\bf 8 \space\ cm\)
\( \huge\mathbb{ \underline{SOLUTION :}}\)
Given:
\(\longrightarrow\bold{Volume= 449 \pi cm^3}\)\(\longrightarrow\bold{Height= 7cm}\)\(\longrightarrow\sf{V= \pi r^2 h}\)
\(\longrightarrow\sf{448 \pi= \pi r^2 \cdot 7}\)
\(\longrightarrow\sf{448=
7r^2}\)
\(\longrightarrow\sf{r^2= \dfrac{448}{7} }\)
\(\longrightarrow\sf{r^2=64}\)
\(\huge \mathbb{ \underline{ANSWER:}}\)
\(\longrightarrow\sf{r= 8cm}\)
please help I only have about a few minutes!
Which equation best models the relationship shown in the table?
Answer:
i want to say the answer is C, i'm sorry if its incorrect, but i'm 50/50 that its C
It costs Jesse $1600 to maintain and drive his car for 32 000 km.
find the cost in $ per km.
Answer:
$20
Step-by-step explanation:
32000 divided by 1600 is 20
so the answer will be $20.
thank you, and if this is right, please let me know!
Answer:
$0.05 per km.
Step-by-step explanation:
1600/32000
= 16/320
= 1/20
= $0.05.
Write the equation 5x + 2y = -6 in general form.
Answer:
\(5x+2y+6=0\)
Step-by-step explanation:
General equations are in the form \(Ax + By + C = 0\)
So you can add 6 to both sides to make:
\(5x+2y+6=0\)
You hear on the news that over the next 5 years the inflation rate will skyrocket to 12% if today a new blu-ray movie costs $19.99 assuming continuous compounding how much will the same disk cost in 5 years?
The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.
To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:
A = P * e^(rt)
Where:
A = Future value
P = Present value
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time period in years
In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:
A = 19.99 * e^(0.12 * 5)
Calculating the exponent first:
0.12 * 5 = 0.6
Then:
e^0.6 ≈ 1.82212
Finally:
A = 19.99 * 1.82212 ≈ 36.42
Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.
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A house was valued at $95,000 in the year 1993. The value appreciated to $165,000 by the year 2004. A) If the value is growing exponentially, what was the annual growth rate between 1993 and 2004? Round the growth rate to 4 decimal places. B) What is the correct answer to part A written in percentage form? %. TE C) Assume that the house value continues to grow by the same percentage. What will the value equal in the year 2009 value = $ Round to the nearest thousand dollars.
A) The annual growth rate between 1993 and 2004, is approximately 5.68%. B) Converting the growth rate from part A to percentage form, is approximately 5.68%. C) Assuming the house value continues to grow at the same annual growth rate, the estimated value in the year 2009 would be approximately $215,000
A) The annual growth rate between 1993 and 2004, assuming exponential growth, can be calculated using the formula: growth rate = (final value / initial value) ^ (1 / number of years) - 1. In this case, the initial value is $95,000, and the final value is $165,000. The number of years is 2004 - 1993 = 11. Plugging these values into the formula, we get: growth rate = (165,000 / 95,000) ^ (1 / 11) - 1 ≈ 0.0568.
B) Converting the growth rate from part A to percentage form, we multiply it by 100. Therefore, the correct answer in percentage form is approximately 5.68%.
Now let's move on to part C. Assuming the house value continues to grow at the same percentage, we can calculate the value in the year 2009. We know that the value in 2004 was $165,000. To find the value in 2009, we need to calculate the growth over a period of 5 years. Using the growth rate of 5.68% (or 0.0568 as a decimal), we can calculate the value in 2009 as follows: value in 2009 = value in 2004 (1 + growth rate) ^ number of years = 165,000 (1 + 0.0568) ^ 5 ≈ $215,291.
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$98.00 tent;40% discount Plz help
Answer:
$58.80
Step-by-step explanation:
Step 1: Multiply
98.00(0.4) = 39.20 <== This shows how much $ is taken off because of the discount
Step 2: Subtract
98.00 - 39.20 = $58.80
$39.20
Step-by-step explanation:
Start off by multiplying 98 with 0.40... Then you'll get your answer!!!!
What’s the first step in solving this equation?
2x+10=-8
Answer:
Pulling out the like terms
Step-by-step explanation:
math 6759. stochastic processes in finance i
Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.
Stochastic processes in finance are processes that are randomly determined, with the outcomes being uncertain. These processes are used to model financial markets, and are useful for forecasting future price movements. These processes are usually modeled using a formula, such as the Geometric Brownian Motion (GBM) equation:
dS = μSdt + σSdz
Where dS is the change in the price of an asset over a short time period, μ is the drift term (expected rate of return), S is the current price of the asset, dt is the time period, σ is the volatility, and dz is a random variable.
This equation is used to model the random variations of an asset’s price, and can be used to predict future price movements. By understanding the GBM equation and its parameters, investors can make more informed decisions when trading financial instruments.
Stochastic processes in finance are modeled using a formula such as the Geometric Brownian Motion equation, which is used to predict the random variations in asset prices and inform investor decisions.
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Complete question
What is the Geometric Brownian Motion equation and how is it used in stochastic processes in finance?
Brainliest if correct
the answer does be A
How many g of HCl react with 5. 69 of manganese
dioxide?
HC1+
MnO2 -
H2O +
MnCl2 +
Cl,
To determine how many grams of HCl react with 5.69 grams of manganese dioxide (MnO2), we need to use the balanced chemical equation for the reaction:
2 HCl + MnO2 → H2O + MnCl2 + Cl2
From the equation, we can see that the stoichiometric ratio between HCl and MnO2 is 2:1. This means that for every 2 moles of HCl, we need 1 mole of MnO2 to react completely.
To find the amount of HCl required to react with 5.69 grams of MnO2, we need to calculate the molar mass of MnO2 and use it to convert grams of MnO2 to moles. Then, we can use the stoichiometric ratio to determine the corresponding amount of HCl in moles.
Finally, we can convert the moles of HCl back to grams using the molar mass of HCl.
In summary, to determine the amount of HCl that reacts with 5.69 grams of MnO2, we need to calculate the moles of MnO2, use the stoichiometric ratio to find the moles of HCl, and then convert the moles of HCl back to grams using its molar mass.
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PLZ HELP ME WITH THIS MATH QUESTION ASAP BRANLIEST AND 25 POINTS PLZZ
Answer:
answer: 69
Step-by-step explanation:
Hopefully this picture helps/explains it well its just hard to put in words but if you want me to try explaining in words I can
42.23% of a certain number is 121. What is the number?
Answer:
287
the original number is 286.526166
but i dk which way you want to round, so round whatever way you want to :)
Step-by-step explanation:
just ask
y+2=−3(x−4)
Complete the missing value in the solution to the equation.
y+2=-3x+12
-2 -2
y=-3x+10
This is as far as it can be simplified.
---
hope it helps
Answer: y = - 3x + 10
Step-by-step explanation:
Step 1: Flip the equation : −3x+12=y+2
Step 2: Add -12 to both sides : − 3 x + 12 + − 12 = y + 2 + -12
i need to find the value of x
Answer:
x = 24
Step-by-step explanation:
Since all the angles share a common vertex 'U' lying on a straight line QT.
Therefore, sum of all angles formed at U will be equal to 180°.
m∠RUQ + m∠RUS + m∠SUT = 180°
(2x - 4) + (3x + 5) + (2x + 11) = 180°
(2x + 3x + 2x) + (5 - 4 + 11) = 180
7x + 12 = 180
7x = 180 - 12
x = \(\frac{168}{7}\)
x = 24
Therefore, value of x = 24
show that = 0 sin θ0 √(0 sin θ0 )2 2ℎ . [5]
We have shown that the expression is equal to 0.
To show that the given expression is equal to 0, we can simplify it algebraically. First, we can substitute 0 for the value of sin(θ0) in the expression. This results in:
0 sin θ0 √(0 sin θ0 )^2 2ℎ
Next, we can simplify the expression under the square root by squaring 0 sin(θ0), which results in:
0 sin θ0 √0 2ℎ
The square root of 0 is equal to 0, so the entire expression becomes:
0 * sin(θ0) * 0 / 2ℎ = 0
Therefore, we have shown that the expression is equal to 0. This result indicates that there is no contribution to the value of the expression from the terms in the numerator and denominator, and it is entirely dependent on the constant value of 0.
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an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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Which of the following is not equal to -5/6?
2p
O a) -(5/6)
b) 5/-6
C) -5/6
d) -(-5/6)
Is Ariel correct? Complete the statements.
Ariel is ?
For any value of y,
the statement -12 = 3 is always ?
The equation has ?
For the given equation, we can complete the statements below:
Ariel is correct. For any value of y, the statement -12 = 3 is always true.
The equation has no solutions.
What is an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The first part of the question is as given below.
Ariel simplifies the equation 3y - 12 = 3(y+1) and says it has no solution.
We are asked to complete the statements based on the above information.
Simplifying the equation,
3y - 12 = 3(y+1)
3y - 12 = 3y + 3
-12 = 3
Since the y term in the above equation is not present, the given equation has indeed no solution.
Also if we take any value of y, the final answer will always be -12 = 3.
Therefore we can complete the statements as below:
Ariel is correct. For any value of y, the statement -12 = 3 is always true.
The equation has no solutions.
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Answer: Ariel is correct. For any value of y the statement -12=3 is always false and it’s no solution
Step-by-step explanation:
the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.
Answer:
.2 Cm
Step-by-step explanation:
Need ASAP!
Factor the expression 16x^2+25
Answer:
(4x+5i)(4x-5i)
Step-by-step explanation:
Suppose Aaron is going to build a playlist that contains 5 songs. In how many ways can Aaron arrange the 5 songs on the playlist?
The number of ways Aaron can arrange the 5 songs on the playlist is equal to 120 ways.
Number of songs = 5
Consider that there are 5 options for the first song.
4 options for the second song since one song has already been used.
3 options for the third song.
2 options for the fourth song.
And only 1 option for the last song.
So the total number of arrangements is equal to,
= 5 × 4 × 3 × 2 × 1
= 120
Alternatively, use the formula for permutations of n objects taken x at a time,
ⁿPₓ= n! / (n - x)!
Here,
The number of songs n = 5
The number of slots on the playlist x = 5
⁵P₅ = 5! / (5 - 5)!
= 5!
= 120 ways
Therefore, the total number of ways Aaron can arrange his 5 songs on playlist is 120.
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12.12 ounces for 3 cups Unit rate
Answer:
4.04 oz per cup
Step-by-step explanation:
sry fam im not gonna give a step by step explanation cuz im in a rush, hope this is enough gl.
find the slope of the line that passes through (48,44) and (6,9)
Find the equation of the line that is perpendicular to the line y=1/2x+7/2 and passes through the point (3,5).
Answer:
y = -2x + 11
Step-by-step explanation:
A perpendicular slope is the negative reciprocal of the slope given in the equation. The slope given in the equation is 1/2 so the negative reciprocal would be -2.
Now we have to find the y-intercept. We will use the slope and the point (3,5) to find it. In the ordered pair (3,5). The x is 3 and the y is 5.
y = mx + b
5 = -2(3) + b
5 = -6 + b Add 6 from both sides
11 = b
y = mx = b
y = -2x + 11
Use a double-angle identity to find the exact value of each expression.
sin 90°
Answer:
1
Step-by-step explanation:
\(\sin 2x=2\sin x \cos x \\ \\ \sin 90^{\circ}=2\sin 45^{\circ} \cos 45^{\circ} \\ \\ =2(1/\sqrt{2})(1/\sqrt{2}) \\ \\ =2(1/2) \\ \\ =1\)
what is the map unit (a three digit number) found under the poly p?
The map unit is typically a three-digit number that is used to identify a specific area on the map.
The map unit is typically a three-digit number that is used to identify a specific area on the map. .
The exact number can vary depending on the map, but it is usually located under the polygon or other shape on the map.
1. Look for the polygon or other shape on the map.
2. Look for the three-digit number located beneath the polygon or other shape.
3. This number is the map unit.
The map unit is typically a three-digit number that is used to identify a specific area on the map.
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