The surface area of the rectangular prism is 172cm^2
What is a prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross sections. The faces of the prism are parallelograms or rectangles.
The surface area of prism is 2A+ pH
where A is the base area
P is the perimeter of the base
and h is the height
for a rectangular prism, the base area is 2×8=16cm^2
perimeter of a rectangle= 2(l+b)
= 2(8+2)
= 20cm
surface area =( 2× 16) + 20× 7
= 32+ 140
= 172cm^2
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Which equation matches the table?
An equation that matches the table include the following: y = x + 5.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 5)/(1 - 0)
Slope (m) = 1/1
Slope (m) = 1.
At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = 1(x - 0)
y - 5 = x
y = x + 5
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The family size bottle of sunscreen holds 121212 fluid ounces (\text{fl oz})(fl oz)left parenthesis, start text, f, l, space, o, z, end text, right parenthesis of sunscreen. The regular bottle holds 75\%75%75, percent less.
How many fewer fluid ounces does the regular bottle of sunscreen hold?
If the family size sunscreen bottle holds 12 fl oz (fluid ounces) of sunscreen, while the regular bottle has 75% less, we will then convert the percentage into fluid ounces with the following calculation:
75/100×12=9
From the calculation above, we know the difference in the liquid content between both bottles; the regular size bottle of sunscreen has 9 fl oz (fluid ounces) less liquid content. So the liquid content of a regular sunscreen bottle is 3 fl oz (fluid ounces)
You asked an incomplete question, so I assume your complete question was:
"The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid ounces does the regular bottle hold?"
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Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
Women make up 64% of the sample and are typically the household's main investment.
There is a correlation between American women and being the main provider in their home.
What is Descriptive Statistics?Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.
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The correct question is - Suppose a survey of 580 women in the United States found that more than 64% are the primary investor in their household. Which part of the survey represents the descriptive branch of statistics? Make an inference based on the results of the survey.
Is my answer correct?
Answer:
Yes, your answer is correct.
what is 50 divided by 1
Evaluate the expression.
12−{1+2[−1(3−8)]2}
What is the value of the expression?
Answer:
13
Step-by-step explanation:
12-{1+2[-1(3-8]2}
12-{1+2[-1-5]2}
12-{1+2[-6]2}
12-{3-4}
12-(-1)
12+1
13
Answer: -39 is the answer
Step-by-step explanation:
Which point represents the approximate location of V240?
point A
point B
point c
point D
Answer:
B
Step-by-step explanation:
Solve for x. 3x/−8=−2/14
Answer:
4.14
Step-by-step explanation:
3x : -2
-8 14
cross multiply
3x × 14 : -2 × 8
42 + 14x : -16
42+ 16 : 14x
58 : 14x
58 : x
14
4.14 : x
At Mathville Middle School, there were 50 students and 50 lockers. Each year for Pi Day (March 14), the students lined up in alphabetical order and performed the following strange ritual. The first student opened every locker. The second student went to every second locker and closed it. The third student went to every third locker and changed it (i.e. if the locker was open, the student closed it; if the locker was closed, the student opened it). In a similar manner, the fourth, fifth, sixth, . . . student changed every fourth, fifth, sixth, . . . locker. After all 50 students had passed by the lockers, which lockers were left open?
PLZZZZ help me T^T
Step-by-step explanation:
This problem is a bit tedious to work out all at once. The first student opens every locker so lockers 1 to 50 are open.
The second student closes every two lockers so every even locker is closed while every odd locker is open. This will repeat over and over and will take too long.
An alternative for this would be checking the factors of each number. For example, 4 has three unique factors, which are 1, 2 and 4. The number of unique factors determine whether the locker is open or closed. In this case, locker 4 will be open after all 50 students finished. Student 1 opens locker 4, student 2 closes locker 4, student 3 doesn't change locker 4 and student 4 opens locker 4. However, students 5 to 50 will never change the locker.
I can't help put all of the answers at once but this should help.
Classify each number according to its value. 3. 2 × 105 1. 9 × 10-1 2. 2 × 103 2. 4 × 103 5. 9 × 102 6. 1 × 101 2. 5 × 104
3.2 x 10^5 goes in greater than 2.4 x 10^4
1.9 x 10^-1 goes in less than 1.2 x 10^2
2.2 x 10 goes in less than 1.2 x 10^2
2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 goes in less than 1.2 x 10^2
2.5 x 10^4 goes in greater than 2.4 x 10^4
What is a place value?
The foundation of our entire number system is place value. In this approach, the value of a digit in a number is determined by where it appears in the number. The digits in the numbers 42,316 and 61,432 are distinct from one another.
Here, we
First, let's find out what 2.4 x 10^4 and 1.2 x 10^2 are.
2.4 x 10^4 = 24000
1.2 x 10^2 = 120
3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.
1.9 x 10^-1 = .19, which is less than 1.2 x 10^2
2.2 x 10 = 22, less than 1.2 x 10^2
2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4
5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4
6.1 x 10 = 61, less than 1.2 x 10^2
2.5 x 10^4 we can solve this without explanation, 2.5 is greater than 2.4 meaning the product will be greater,
to check 2.5 x 10^4 = 25000, greater than 2.4 x 10^4
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The values of a,b,c, and d are 1, 2, 3 and 4, though not necessarily in that order. what is the greatest possible value of ab+bc+cd+da?
The values of a, b, c, and d are 1, 2, 3 and 4, though not necessarily in that order. The greatest possible value of ab + bc + cd + da is 25.
Greatest Possible Value:
For any number, whether decimal or integer, the leftmost non-zero digit is most significant. For decimals, this digit is the first non-zero digit to the right of the decimal point, and for integers it is the first digit in a series of numbers. For example, in the fraction 0.00163925, the most significant digit is 1. In the integer 2,473,981, the most significant digit is 2. Rounding off the most significant digit in these two examples gives a fraction of 0.002 and an integer of 2,000,000.
Given That:
The Values of a, b, c and d is 1 ,2 ,3 and 4
Therefore,
4× 2 + 2 × 1 + 1 × 3 +3 × 4
= 25
Therefore, the greatest possible value of ab + bc + cd + da is 25.
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Define carefully the following terms
I. Simultaneous equations system
II. Exogenous variables
III. Endogenous variables
IV. Structural form model
V. Reduced form model
In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.
I. Simultaneous equations system refers to a set of equations where multiple unknown variables are solved simultaneously. These equations are interdependent and must be solved together.
II. Exogenous variables are independent variables in a statistical or economic model. They are not influenced by other variables in the model and are often determined outside the system being analyzed.
III. Endogenous variables, on the other hand, are dependent variables in a statistical or economic model. They are influenced by other variables in the model and are determined within the system being analyzed.
IV. Structural form model is a representation of a system that shows the relationships between endogenous and exogenous variables. It describes the underlying theory or causal relationships between variables.
V. Reduced form model is a simplified version of the structural form model, where all variables are expressed as functions of exogenous variables. It focuses on the relationships between endogenous variables without considering the underlying theory or causality.
In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.
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What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.
The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.
Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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1. What does the mean of a dataset represent? What does knowing
the standard deviation of a
dataset add?
2. What is a p value? What is the meaning of a p value?
3. Define alpha. How is it related to p
1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.
A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.
2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.
It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).
3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.
If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.
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FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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HELP I WANNA PASS!!!
A ball was thrown upward into the air. The height, in feet, of the ball above the ground t seconds after being thrown can be determined by the expression -16t^2 + 40t + 3. What is the meaning of the 3 in the expression?
A.
The ball was thrown from a height of 3 feet.
B.
The ball took 3 seconds to reach its maximum height.
C.
The ball took 3 seconds to reach the ground.
D.
The ball reached a maximum height of 3 feet.
Answer:
The ball was thrown from a height of 3 feet
Answer:
A. The ball was thrown from a height of 3 feet.Step-by-step explanation:
If you put 0 for t, then you get 3 as a result of calculation.
It means the start point is 3 feet, in other words, the ball was thrown from 3 feet from the ground.
Correct choice is A.
In the context of intergroup sources of power, _____ are activities that other groups depend on to complete their tasks.
In the context of intergroup sources of power, dependencies are activities that other groups depend on to complete their tasks.
Dependencies refer to the specific tasks or activities that one group relies on another group to fulfill. These dependencies create interdependencies between groups, establishing power dynamics and influencing the relationships between them. When one group possesses certain dependencies that are crucial for the functioning or success of other groups, it can leverage these dependencies to gain power and influence within the intergroup dynamics. For example, if Group A is responsible for providing essential raw materials that Group B needs to manufacture their products, Group A holds a dependency advantage over Group B. Group B is reliant on Group A's timely and reliable provision of the raw materials to carry out their production processes. In this scenario, Group A can use their control over the supply of raw materials as a source of power to negotiate favorable terms, pricing, or other concessions from Group B. The dependency of Group B on Group A's resources strengthens the power position of Group A within the intergroup relationship.
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an evil dragon has captured 10 maidens and wants to put 4 of them in a blender and eat the result for breakfast. it knows that dorothy and virginia will not taste good together. how many ways does the dragon have to choose four maidens to eat that do not include both dorothy and virginia?
The evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia.
There are 120 different ways that the evil dragon can choose four maidens out of the ten without including both Dorothy and Virginia.
To arrive at this answer, we first need to calculate the total number of ways that the dragon can choose any four maidens out of the ten. This can be done using the formula for combinations, which is:
nCr = n! / (r! * (n-r)!)
In this case, n = 10 (the total number of maidens) and r = 4 (the number of maidens the dragon wants to choose). So the total number of ways the dragon can choose four maidens out of ten is:
10C4 = 10! / (4! * (10-4)!) = 210
Next, we need to subtract the number of ways that include both Dorothy and Virginia. The dragon cannot choose both of these maidens, so we need to calculate the number of ways that it can choose the other two maidens. This can be done using the formula for combinations again, but this time with n = 8 (the number of maidens remaining after excluding Dorothy and Virginia) and r = 2 (the number of maidens the dragon still needs to choose).
8C2 = 8! / (2! * (8-2)!) = 28
Finally, we can subtract the number of ways that include both Dorothy and Virginia from the total number of ways to get the answer:
210 - 28 = 182
So the evil dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.
The evil dragon can choose four maidens out of ten in 210 different ways. However, it cannot choose both Dorothy and Virginia, so we need to subtract the number of ways that include them both. The dragon can choose two more maidens out of the remaining eight, which can be done in 28 different ways. By subtracting this from the total number of ways, we get that the dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.
In conclusion, the evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia. This calculation was done using the formula for combinations, which involves finding the total number of ways to choose the maidens and then subtracting the number of ways that include both Dorothy and Virginia.
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Select the correct text in the passage,
What is the opportunity cost in this scenario?
Mikael has saved $4,000 for his trip to Brazil. He has calculated that his total transportation expenses will be $1,000. The hotel will cost him
another $1,500. He will spend about $500 on food. He plans on spending the remaining $1,000 for sightseeing and buying souvenirs.
While booking his plane ticket
, he realizes that the price has gone up. His total transportation expenses will go up by $200. He realizes that he
cannot cancel his hotel reservation. He also doesn't want to go cheap on food. Finally, he decides to give up visiting the popular Ouro Preto
during his stay in Brazil
Reset
Next
mentum All rights reserved
Answer:
Sightseeing
Step-by-step explanation:
A 6.1-mL sample of CO2 gas is enclosed in a gas-tight syringe at 18 ∘C. If the syringe is immersed in an ice bath (0 ' C ), what is the new 9g^2 volume, assuming that the pressure is held constant? Volume = mL 10 item atleit pes remaining
Therefore, the new volume of the gas, when the syringe is immersed in an ice bath, is approximately 5.75 mL.
To determine the new volume of the gas when the syringe is immersed in an ice bath, we need to use the combined gas law, which relates the initial and final conditions of pressure, volume, and temperature:
P₁V₁/T₁ = P₂V₂/T₂
Since the pressure is held constant, we can simplify the equation to:
V₁/T₁ = V₂/T₂
Given:
V₁ = 6.1 mL
T₁ = 18 °C = 18 + 273.15 = 291.15 K
T₂ = 0 °C = 0 + 273.15 = 273.15 K
Now we can plug in these values and solve for V₂:
V₂ = (V₁ * T₂) / T₁
V₂ = (6.1 mL * 273.15 K) / 291.15 K
V₂ ≈ 5.75 mL
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Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. A zoo has 17 monkeys and 12 chimpanzees. 12 to 17, 12:17, 17 60 12, 17:12, 1 C 17 to 22. 17:22 • D 1740 12. 12:12 17 to 12. 12:17 12
Answer: B
in three ways we have;
\(17\text{ to }12,\text{ }17\colon12,\text{ }\frac{17}{12}\)Explanation:
We want to write the ratio of the situation in three ways, comparing the first quantity to the second quantity.
Given that;
A zoo has 17 monkeys and 12 chimpanzees
so, we want to compare the number of Monkeys to the number of Chimpanzees.
There are 17 Monkeys to 12 Chimpanzees.
\(17\text{ to }12\)Writing in other ways, we have;
\(17\colon12\)and lastly in fraction;
\(\frac{17}{12}\)Therefore, in three ways we have;
\(17\text{ to }12,\text{ }17\colon12,\text{ }\frac{17}{12}\)
Round to the nearest hundred.
8,245
Which measure is of an angle that is coterminal with a 95° angle? 95° " (1,450n)°, for any integer n 95° " (1,080n)°, for any integer n 95° " (780n)°, for any integer n 95° " (340n)°, for any integer n
An angle is coterminal with another angle if they have the same initial and terminal sides. To find an angle that is coterminal with a 95° angle, we can add or subtract a multiple of 360° (one full rotation) to the original angle.
So the measures that are coterminal with a 95° angle can be expressed as:
95° + 360°n, for any integer n (to get a larger positive angle)
or
95° - 360°n, for any integer n (to get a smaller positive angle)
Simplifying these expressions, we get:
(1) 95° + 360°n, for any integer n
(2) 95° - 360°n, for any integer n
Note that options (1) and (2) represent the same set of angles, since adding or subtracting multiples of 360° does not change the angle's position or orientation.
Option (3) includes angles that are less than one full rotation (less than 360°) and therefore cannot be coterminal with a 95° angle.
Option (4) includes angles that are greater than one full rotation and therefore overlap with option (1).
Therefore, the measure that is coterminal with a 95° angle is option (1): 95° + 360°n, for any integer n.
\(\begin{align}\huge\colorbox{black}{\textcolor{yellow}{I hope this helps !}}\end{align}\)
\(\begin{align}\colorbox{purple}{\textcolor{lime}{Please mark as brillinest !}}\end{align}\)
\(\textcolor{cyan}{\small\textit{If you have any further questions, feel free to ask!}}\)
Answer:
The answer to your problem is, A. 95° + 360°n, for any integer n.
Step-by-step explanation:
First you would need to simplify the problem:
95° + 360°n, for any integer n95° - 360°n, for any integer nTechniquelly 2nd is the answer.
How you find a coterminal:
Example:
Find the coterminal angle of 11pi/3?
Subtract 2π 2 π from 11π3 11 π 3 .
The resulting angle of 5π3 5 π 3 is positive, less than 2π 2 π , and coterminal with 11π3 11 π 3 .
Thus the answer to your problem is, 95° + 360°n, for any integer n.
The fifth graders to plant a butterfly garden. Clover grows in ½ of the garden, daisies in ¼ of the garden, coneflowers in ⅛ of the garden, and milkweed in ⅛ of the garden. The fifth graders notice that the butterflies land on the clover, and milkweed. What fraction of the garden do the butterflies use?
Answer:
Fraction of the garden used = \(\frac{5}{8}\)
Step-by-step explanation:
The fifth graders to plant a butterfly garden.
We are given that
Clover grows in ½ of the garden
Daisies grow in ¼ of the garden
Coneflowers grow in ⅛ of the garden
milkweed grows in ⅛ of the garden
The fifth graders notice that the butterflies land on the clover and milkweed.
We are asked to find out the fraction of the garden that the butterflies used.
Fraction of the garden used = clover + milkweed
Fraction of the garden used = \(\frac{1}{2} + \frac{1}{8}\)
The LCM of 2 and 8 is 8
Fraction of the garden used = \(\frac{4 +1}{8}\)
Fraction of the garden used = \(\frac{5}{8}\)
Therefore, the butterflies used \(\frac{5}{8}\) fraction of the garden.
Help would be much appreciated! :)
Answer:
\(\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4} = x^2 + 5x - 4 + \frac{3x - 8}{x^2 + 5x - 4}\)
General Formulas and Concepts:
Algebra I
Terms/Coefficients
ExpandingAlgebra II
Polynomial Division
Long DivisionSynthetic DivisionStep-by-step explanation:
Step 1: Define
Identify.
\(\displaystyle \frac{x^4 + 10x^3 + 25x^2 + 3x - 24}{x^2 + 5x - 4}\)
Step 2: Long Division
See attachment.
Multiply quotient a and divisor, then subtract from dividend: \(\displaystyle x^2(x^2 + 5x - 4) = x^4 + 5x^3 - 4x^2 \leftarrow \text{red 1}\)Multiply quotient b and divisor, then subtract from new dividend: \(\displaystyle 5x(x^2 + 5x - 4) = 5x^3 + 25x^2 - 20x \leftarrow \text{red 2}\)Multiply quotient c and divisor, then subtract from new dividend: \(\displaystyle 4(x^2 + 5x - 4) = 4x^2 + 20x - 16 \leftarrow \text{red 3}\)Write remainder: \(\displaystyle \frac{r(x)}{b(x)} = \frac{3x - 8}{x^2 + 5x - 4}\)Please excuse the bad handwriting.
what is 53232+10093200920 equal
Answer:
10093254152
Step-by-step explanation:
yk
Please help I want to make sure I'm right here!
A parking meter at a parking garage charges $4 per hour. Every fraction of an hour is rounded up to the next hour. What is the cost for parking a car in the parking garage for 312 hours
Answer:
$1,248.00, or 1,248 dollars.
Step-by-step explanation:
First, multiply 4, which is the dollars per hour, by 2, which is 8. Then, multiply four with ten, which is 40. Next, multiply 4 with 3, which is 12, and add two zeros on the back, which is 1,200. Finally, add them all together for a total of $1,248.00, or 1,248 dollars.
use distributive property to express 64 + 24