25a^3b^3-20a^5b^2+5a^3b^2 gives a new expression of the form U a^x b^y (Wa^2+Vb+Z) where U>0 . What's value of U ,V, x,W,Z,y
Answers
Given the expression:
\(25a^3b^3-20a^5b^2+5a^3b^2\)Take the common factor:
\(5a^3b^2\)So, the expression will be:
\(\begin{gathered} 5a^3b^2\cdot(5b-4a^2+1) \\ =5a^3b^2(-4a^2+5b+1) \end{gathered}\)Compare the last result with: U a^x b^y (Wa^2+Vb+Z)
So,
\(\begin{gathered} U=5 \\ x=3 \\ y=2 \\ W=-4 \\ V=5 \\ Z=1 \end{gathered}\)Related Questions
What is the standard form for 4x10,000+8x1,000+2x100+3x10+6x1+7x1/10
choices
48,237.07
48,236.7
4,830.07
none of these
:)
Answers
Answer:
48,236.7
Step-by-step explanation:
40,000 + 8,000 + 200 + 30 + 6 + 7/10
7/10 can also be written .7
Can someone break down how to apply properties of functions please
Answers
Answer:
Linear Function: f(x) = mx + b where m and b are real numbers.
Constant Function: f(x) = b where b is a real number.
Identity Function: f(x) = x.
Square Function: f(x) = x2.
Cube Function: f(x) = x3.
Square Root Function:
Reciprocal Function: f(x) = 1/x.
Absolute Value Function: f(x) = |x|
Find the area of the triangle.
6
8
Answers
Answer:
24
Step-by-step explanation:
the area formula for a triangle is
base x high
----------------
2
so 6x8=48 and divided by 2 is 24
Answer:
24
Step-by-step explanation:
8×6 then Divide by 2........
BRAINLIST AND 20 POINTS I REALLY NEED HELP ASAP (10 POINTS FOR EACH QUESTION)
Answers
Answer:
7 bottles
$10
Step-by-step explanation:
multiply
1/6×42= 7 bottles
5/9×18= $10
Photo above⬆️
(Please explain thoroughly and if you can please ad a picture of what you did to get your answer)
Answers
In a normal distribution, 95% of the data fall within how many standard
deviations of the mean?
O A. Two standard deviations
O B. One standard deviation
C. It cannot be determined from the given information.
O D. Three standard deviations
Answers
In a normal distribution, 95% of the data falls within two standard deviations.
What is a normal distribution?
The most typical distribution function for independent, randomly produced data is the normal distribution, commonly known as the Gaussian distribution. Every statistical report uses this well-known bell-shaped curve, from survey analysis and quality control to resource allocation.
Here,
We have to determine in a normal distribution, 95% of the data fall within how many standard deviations of the mean.
We concluded that 95% of the data points will fall within two standard deviations of the mean. 99.7% of the data points will fall within three standard deviations of the mean.
Hence, In a normal distribution, 95% of the data falls within two standard deviations.
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1. Based on the information given, what is the Worthington Family's net worth? Will they qualify for the loan?
1
Net worth:
Will they qualify for the loan? (yes or no)
Answers
Question Completion:
The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000. They will incur additional $7,000 in liabilities.
Answer:
1. The Worthington Family's net worth is:
= $79,000.
2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.
Step-by-step explanation:
a) Data and Calculations:
Worthington Family's net worth:
Liquid assets = $10,000
Use assets = 150,000
Investment assets = 34,000
Total assets = $194,000
Liabilities = 115,000
Net worth = $79,000
Required net worth = $100,000
Shortfall in net worth = $21,000
b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others). It is an important financial metric for calibrating the family's financial health. Computing it provides a useful snapshot of the family's current financial position. Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.
please help me solve this
Answers
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
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Trong tập hợp các số thực ℝ cho quan hệ S1, S2
a, b ℝ, a S1 b a
2
b
2
a, b ℝ, a S2 b a
3
b
3Quan hệ nào là quan hệ thứ tự ? Quan hệ nào là quan hệ thứ tự toàn phần ?
Answers
Answer:
Step-by-step explanation:
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
Answers
The differences are: -9, 22, 0, -19, -105, 24, -46, -8, -5, -8, -8
The mean of the differences is: -9.5
The standard deviation of the differences is: 38.3
To calculate the 99% confidence interval, we use the formula:
(mean difference) +/- (t-value) * (standard deviation of differences / square root of sample size)
The sample size is 11, so the degrees of freedom are 10. Using a t-table with 10 degrees of freedom and a 99% confidence level, we find the t-value to be 3.169.
Plugging in the values, we get:
-9.5 +/- 3.169 * (38.3 / sqrt(11))
Which simplifies to:
-9.5 +/- 23.5
Therefore, the 99% confidence interval for the difference in means is (-33, 14).
Write an equation that models the linear situation:
A fitness club charges $5 for each class in addition to $150 for the year’s membership.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
n = number of fitness classes attended
C(n) = total cost of fitness club, including classes, for the year (dollars)
Question 2
Write an equation that models the linear situation:
A car rental company charges 5 cents per mile in addition to the base fee of $20.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
m = distance the rental car has been driven (miles)
C(m) = total cost of renting a car (dollars)
Question 3
Write an equation that models the linear situation:
A train starts a trip and it travels at a steady (average) speed of 70 miles per hour.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
t = time traveled (hours)
d(t) = distance traveled (miles)
Write an equation that models the linear situation:
A diver that was 300 feet below the surface of the ocean rises towards the surface 30 feet every minute.
Instructions:
DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs.
For example, DO NOT enter f(x) = 2x + 1 DO ENTER: f(x)=2x+1
Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2)
You may use decimals IF the decimal values are exact. (You cannot use .33 for 1/3 because it is not exact, but you can use 0.25 for 1/4.)
To write your equation, use the variables:
t = amount of time the diver rises towards the surface (minutes)
L(t) = sea-level position of the diver (feet)
Answers
The linear functions for each case are given as follows:
1. C(n) = 5n + 150.
2. C(m) = 0.05m + 20.
3. L(t) = 30t - 300.
What is a linear function?A linear function, in slope-intercept format, is given by:
y = mx + b
In which the coefficients are described as follows:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).For each item in this problem, we have that the meaning of the coefficients is explained as follows:
The rate per class/mile/rise represents the slope.The initial fees or the initial position represents the intercept.Hence the functions are given as follows, considering the stated variables:
1. C(n) = 5n + 150.
2. C(m) = 0.05m + 20. (5 cents = $0.05).
3. L(t) = 30t - 300. (300 feet below the surface is represented by a negative value, while a rise is represented by a positive value).
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5
4 points
Suppose your bank charges a $7 monthly fee and $0.11 per check. If you write 62 checks in a year, how much money in fees would you expect to pay for the year? Type out a
calculations and make sure your final answer is clear.
Answers
0.11x=55
x= $500
Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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Write the data in order from least to greatest and circle the median.
Of 3.50 7.99 3.25 4.00 3.50 7.50 3.65 3.50 4.00
Answers
Answer:
The answer to your questionis 3.65
Answer:
3.25, 3.50, 3.50, 3.50, 3.65, 4.00, 4.00, 7.50, 7.99
3.65 is the median.
Step-by-step explanation:
You're welcome.
use functions f(x) = square root x+1 , g(x) = 2x-5 , and h(x) = 3x^2 - 3 to complete the table
Answers
Note that given the above functions, the completed table is given as follows;
x g(h(x))
0 -11
1 7
2 25
3 43
4 85
What is the explanation of the above?To complete the table for g(h(x)), we need to first find the value of h(x) for each value of x in the table, and then substitute that value into the function g(x) to get the corresponding value of g(h(x)).
x h(x) g(h(x))
0 3(0)²-3 g(-3) = 2(-3)-5 = -11
1 3(1)²-3 g(6) = 2(6)-5 = 7
2 3(2)²-3 g(15) = 2(15)-5 = 25
3 3(3)²-3 g(24) = 2(24)-5 = 43
4 3(4)²-3 g(45) = 2(45)-5 = 85
Therefore, the completed table for g(h(x)) is:
x g(h(x))
0 -11
1 7
2 25
3 43
4 85
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached table.
1) The perimeter of a rectangular garden is 344M. If the width of the garden is 76M, what is its length?
Equation:
Solution:
(I need the equation and solution)
2) The area of a rectangular window is 7315CM^2 (^2 is squared). If the length of the window is 95CM, what is its width?
Equation:
Solution:
(Once again, I need the equation and solution)
3) The perimeter of a rectangular garden is 5/8 mile. If the width of the garden is 3/16 mile, what is its length?
4) The area of a rectangular window is 8256M^2 (^2 is squared). If the length of the window is 86M, what is its width?
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98M, find its length and width.
6) The perimeter of the pentagon below is 58 units. Find VW. Write your answer without variables.
Answers
The length of the rectangle is 96 m, the width of the rectangle is 77 cm , the length of the rectangle is 1/8 mile, the length and width of the rectangle is 7 m and 42 m respectively, VW is 11 units.
According to the question,
1) Perimeter of rectangle = 344 M
Width = 76 M
Perimeter of rectangle = 2(length + width)
2(length+76) = 344
length+76 = 172
length = 172-76
Length of the rectangle = 96 M
2) Area of a rectangular window = 7315 \(cm^{2}\)
Length of the window is 95 cm.
Area of rectangle = length*width
95*width = 7315
width = 7315/95
Width of the rectangle = 77 cm
3) The perimeter of a rectangular garden is 5/8 mile.
The width of the garden is 3/16 mile.
Perimeter of rectangle = 2(length+width)
2(length+3/16) = 5/8
length+3/16 = 5/(2*8)
length = 5/16-3/16
Length of the rectangle = 2/16 or 1/8 mile
4) The area of a rectangular window is 8256 \(m^{2}\).
The length of the window is 86 m.
Area of rectangle = length*width
86*width = 8256
width = 8256/86
Width of the rectangle = 96 m
5) The length of a rectangle is six times its width. The perimeter of the rectangle is 98 m.
Let's take width of the rectangle to be x m.
Length of rectangle = 6x m
2(length+width) = 98
2(6x+x) = 98
2*7x = 98
14x = 98
x = 98/14
x = 7 m
Width = 7 m
Length = 7*6 m or 42 m
6) The perimeter of the pentagon is 58 units.
3z+10+z+3+2z-1+10 = 58
6z+10+3-1+10 = 58
6z+22 = 58
6z = 58-22
6z = 36
z = 36/6
z = 6 units
VW = 2z-1
VW = 2*6-1
VW = 12-1
VW = 11 units
Hence, the answer to 1 is 96 m , 2 is 77 cm, 3 is 1/8 mile , 4 is 96 m , 5 is 7 m and 42 m and 6 is 11 units.
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Solve each system of linear equations below, then check your work.
A. 3x−y=−11 −x+y=5
B -2y+3= 4x + 2 6x + 4y=1
C. 32y- x= -25 5x= 100 + x - 8Y
D. 2y + 3x = 6 4x + 5y +20 = 0
Answers
A. The solution of linear equation is (x, y) = (-3, 8).
B. The solution is (x, y) = (3/4, -1).
C. The solution is (x, y) = (-31/8, 3/8).
D. The solution is (x, y) = (55/7, -117/14).
A. 3x - y = -11 --- (1)
-x + y = 5 --- (2)
From equation (2), we can write y = x + 5, and substitute it in equation (1):
3x - (x + 5) = -11
2x = -6
x = -3
Substituting x in equation (2):
-y = -8
y = 8
Therefore, the solution of the system is (x, y) = (-3, 8).
To check the solution, we substitute the values of x and y in the original equations:
3(-3) - 8 = -11 (True)
-(-3) + 8 = 5 (True)
So, the solution is correct.
B. -2y + 3 = 4x + 2 --- (1)
6x + 4y = 1 --- (2)
From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):
6x + 4y = 1
6x - 4y = 8 (rearranging)
12x = 9
x = 3/4
Substituting x in equation (1):
-2y + 3 = 4(3/4) + 2
-2y + 3 = 5
-2y = 2
y = -1
Therefore, the solution of the system is (x, y) = (3/4, -1).
To check the solution, we substitute the values of x and y in the original equations:
-2(-1) + 3 = 4(3/4) + 2 (True)
6(3/4) + 4(-1) = 1 (True)
So, the solution is correct.
C. 32y - x = -25 --- (1)
5x = 100 + x - 8y --- (2)
From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):
32y - x = -25
32y - (100 - 8y) = -25
40y = 75
y = 3/8
Substituting y in equation (1):
32(3/8) - x = -25
x = -31/8.
Therefore, the solution of the system is (x, y) = (-31/8, 3/8).
To check the solution, we substitute the values of x and y in the original equations:
32(3/8) - (-31/8) = -25 (True)
5(-31/8) = 100 + (-31/8) - 8(3/8) (True)
So, the solution is correct.
D. To solve the system of equations:
2y + 3x = 6 --- (1)
4x + 5y + 20 = 0 --- (2)
We can rearrange equation (2) to isolate one of the variables:
4x + 5y = -20 (subtracting 20 from both sides)
5y = -4x - 20 (subtracting 4x from both sides)
y = (-4/5)x - 4 (dividing both sides by 5)
Substituting this value of y in equation (1):
2((-4/5)x - 4) + 3x = 6
(-8/5)x - 8 + 3x = 6
(-8/5)x + 3x = 14
(-8/5 + 3)x = 14
(-8/5 + 15/5)x = 14
(7/5)x = 14
x = 10
Substituting this value of x in the equation for y:
y = (-4/5)(10) - 4
y = -12.
Therefore, the solution of the system is (x, y) = (10, -12).
To check the solution, we substitute the values of x and y in the original equations:
2(-12) + 3(10) = 6 (True)
4(10) + 5(-12) + 20 = 0 (True)
So, the solution is correct.
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I need help please answer
Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?
A 2.66 light-years
B 7.18 light-years
C 7.74 light-years
D 9.46 light-years
Answers
Answer:
B) 7.18
Step-by-step explanation:
sorry if I am wrong. I hope this helps.
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answers
Answer:
(a) The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
(b) The test statistic is -2.2361.
(c) The p-value of the test is 0.026.
(d) α = 0.05.
Step-by-step explanation:
In this case a hypothesis test is to be performed to determine whether the mean difference in the husband's versus the wife's satisfaction level is negative.
(a)
The data provided is paired data.
So a paired t-test would be used.
The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
The hypothesis can be defined as follows:
\(\text{H}_{0}:\ \mu_{d}=0\\\\\text{H}_{a}:\ \mu_{d}<0\)
(b)
Compute the test statistic as follows:
\(t=\frac {\bar d-\mu_{d}}{\sigma_{d}/\sqrt{n}}\)
\(=\frac{-0.50-0}{0.7071/\sqrt{10}}\\\\=-2.2360894\\\\\approx -2.2361\)
The test statistic is -2.2361.
(c)
Compute the p-value as follows:
\(p-value=P(t_{n-1}<t)\\\\=P(t_{9}<-2.2361)\\\\=0.026\)
The p-value of the test is 0.026.
(d)
It is provided that the significance level of the test is, α = 0.05.
In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
Answers
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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The fluctuation of water depth at a pier is shown in the figure below. One of the following values gives the positive difference, in feet, between the greatest water depth and the least water depth shown in this graph. Which value is it?
F. 3
G. 6
H. 9
J. 12
K. 19
Answers
Answer:
The answer is H. 6
Step-by-step explanation:
The greatest water depth is 12 and the lowest water depth is 6
12-6=6
H. 6
Answer:
k
Step-by-step explanation:
It’s the deepest dept
The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week.
She finds that East Coast group ships an average of 1276 parts and knows the population standard deviation to be 347.
The Midwest group ships an average of 1439 parts and knows the population standard deviation to be 298.
Using a 0.01 level of significance, test if there is a difference in productivity level. What is the test statistic?
(Round to 4 decimal places)
z =
please use excel to solve
Answers
Answer:
The test statistic is z = -2.11.
Step-by-step explanation:
Before finding the test statistic, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Group 1: Sample of 35, mean of 1276, standard deviation of 347.
This means that:
\(\mu_1 = 1276, s_1 = \frac{347}{\sqrt{35}} = 58.6537\)
Group 2: Sample of 35, mean of 1439, standard deviation of 298.
This means that:
\(\mu_2 = 1439, s_2 = \frac{298}{\sqrt{35}} = 50.3712\)
Test if there is a difference in productivity level.
At the null hypothesis, we test that there is no difference, that is, the subtraction is 0. So
\(H_0: \mu_1 - \mu_2 = 0\)
At the alternate hypothesis, we test that there is difference, that is, the subtraction is different of 0. So
\(H_1: \mu_1 - \mu_2 \neq 0\)
The test statistic is:
\(z = \frac{X - \mu}{s}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error.
0 is tested at the null hypothesis:
This means that \(\mu = 0\)
From the two samples:
\(X = \mu_1 - \mu_2 = 1276 - 1439 = -163\)
\(s = \sqrt{s_1^2+s_2^2} = \sqrt{58.6537^2+50.3712^2} = 77.3144\)
Test statistic:
\(z = \frac{X - \mu}{s}\)
\(z = \frac{-163 - 0}{77.3144}\)
\(z = -2.11\)
The test statistic is z = -2.11.
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answers
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
Which net can be folded to form a triangular pyramid?
Answers
The net that can be folded to form a triangular pyramid is net b
How to determine the net that can be foldedFrom the question, we have the following parameters that can be used in our computation:
The nets in the list of options
As a general rule, a triangular pyramid has 4 triangles such that
Three triangles are adjacent and one triangle is at the top or at the bottom
using the above as a guide, we have the following:
The net that can be folded to form a triangular pyramid is net b
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4. (01.02 LC) Brandi earned $78 in interest after one and one half years on an account that paid 7.5% simple interest annually. Use the formula I = Prt to find Brandi's principal balance. Round to the nearest hundredth. (1 point) $69.33 $87.75 $693.33 $768.00
Answers
The principal amount is $693.33.
What is Simple Interest?Simple interest is a quick and simple approach to figure out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time. Any bank where we deposit money will pay us interest on that amount.
The formula is
Simple Interest = P x R x T/100
Given:
Interest = 78
Rate= 7.5%
Time= 1 and half year = 1.5 year
Now, Simple Interest= P x R x T / 100
78 = P x 7.5 x 1.5 / 100
7800= P x 11.25
P = 7800/11.25
P = 693.33
Hence, the principal amount is $693.33.
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In the formula for the area of a circle, what gets multiplied by r?
Answers
Answer:
A. r²
Step-by-step explanation:
The formula for the area of a circle is π r²,
thus the π is multiplied by the r²
Draw the net and calculate the surface area .
Answers
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 13.1 years; the standard deviation is 1.5 years. Use the empirical rule to estimate the probability between 16.1 and 17.6 years.
Answers
Answer: 2.35%
Step-by-step explanation:
most people fond that the cost of individual insurance are prohiibitvely high. true false
Answers
Answer: True
Step-by-step explanation:
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answers
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.