Correct answer is D. For the numerical equation, If m = 8 and n = 4, all of the following represent the same value except mn.
What is a numerical equation?Numbers and their operations are used to represent a numerical equation. Statements can also be used to create mathematical expressions.
On calculating, the following values,
If m = 8 and n = 4;
For 1/2m, the value will be -
1/2 × 8 = 4 .......(1)
For n/1 the value will be -
4/1 = 4 .......(2)
For m-n the value will be -
8 - 4 = 4 .......(3)
For mn, the value will be -
8 × 4 = 32 ......(4)
From (1), (2), (3), (4) it can be seen that the value is same instead for mn.
Complete question -
If m = 8 and n = 4, all of the following represent the same value except _____.
1/2 m
n/1
m-n
mn
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The bookstore marked some notepads down from $2.00 but still kept the price over $1.00. It sold all of them. The total amount of money from the sale of the pads was $31.45. How many notepads were sold? What was the price of each notepad?
Answer: i think 16
Step-by-step explanation:
ade A.7 Add and subtract whole numbers: word problems A67
D) Last month, the local grocery store sold 52 cans of cherry soda, 194 cans of orange
soda, and 76 cans of grape soda. How many cans of soda did the grocery store sell in all?
(1)
Submit
cans of soda
322 cans of soda were sold by the grocery store in all.\
Concept: Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.
Given: 52 cans of cherry soda, 194 cans of orange soda, and 76 cans of grape soda.
The total no. of total soda cans sold by the local grocery store is 52+194+76 = 322
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Figure ABCD is an isosceles trapezoid. Find the value of x. 8x-12 5x+9 (water spilled on my paper)
The value of x in the isosceles trapezoid is 7.
How to find angles of an isosceles trapezoid?An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure.
The base angles of an isosceles trapezoid are the same.
Therefore,
8x - 12 = 5x + 9
subtract 5x from both sides of the equation
8x - 12 = 5x + 9
8x - 5x - 12 = 5x - 5x + 9
3x - 12 = 9
add 12 to both sides of the equation
3x - 12 = 9
3x - 12 + 12 = 9 + 12
3x = 21
divide both sides by 3
x = 21 / 3
x = 7
Therefore, the value of x in the isosceles trapezoid is 7.
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According to the 2019 National Coffee Drinking Study from the National Coffee Association, 63% of 2,815 U.S. adults respondents reported drinking coffee in the past 24 hours. Based on these data, a theory-based 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is:
Using the z-distribution, the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).
What is a confidence interval of proportions?A confidence interval of proportions is given by the following rule:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.For this problem, we have a 95% confidence level, hence the [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate and the sample size are given as follows:
[tex]\pi = 0.63, n = 2815[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 - 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.61[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.63 + 1.96\sqrt{\frac{0.63(0.37)}{2815}} = 0.65[/tex]
Hence the 99% confidence interval for the proportion of all adult Americans that drank coffee in the previous 24 hours is: (0.61, 0.65).
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$3100.00 is invested in an
account with a 3.2% interest rate
that is compounded quarterly.
How much money is in the
account at the end of one year?
for the function f (x) = 4x^1/3, find f^-1 (x)
Answer:
Solutions in Attached Photo.
Step-by-step explanation:
To find the inverse of a function , we first solve for x in terms of y, then swap back x and y to get the inverse.
K-
Complete the table with exact trigonometric function values. Do not use a calculator.
0
sin 0
cos0
cot 0
csc 0
√2
√√2
2
2
135°
0
sin 0
√2
2
135°
tan 0
?
?
tan 0
cos0
√2
-√√2
√2
2
(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expres
sec 0
cot 0
√√2
√2
sec 0
csc 0
The values of trigonometric function are tanθ = -1 and cotθ = -1.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We have been given that trigonometric function
⇒ sinθ = √2/2
⇒ cosθ = -√2/2
We have to determine the function of tanθ and cotθ
Since tanθ = sinθ/cosθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ tanθ = (√2/2)/(-√2/2)
⇒ tanθ = (√2/2)×(-2/√2)
⇒ tanθ = -1
Since cotθ = cosθ/sinθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ cotθ = (-√2/2)/(√2/2)
⇒ cotθ = (√2/2)×(-√2/2)
⇒ cotθ = -1
Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.
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Ginny's account after withdrawal?
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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Actual lengths of stay at a hospital’s emergency department in 2009 are shown in the following table (rounded to the nearest hour). Length of stay is the total of wait and ser- vice times. Some longer stays are also approximated as 15 hours in this table.
The mean and the variance of the given discrete distribution are as follows:
Mean: 5.0563 minutes.Variance: 7.9365 minutes².What is the missing information?The distribution of waiting times is missing, and is given by the image at the end of the answer.
The question is also incomplete, but it asks for the mean and the variance of the distribution.
What are the mean and the variance of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The variance is given by the sum of the differences squared between each observation and the mean, multiplied by it's respective probability.Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:
E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 = 5.0563 minutes.
Then, considering the mean found above, and it's formula, the variance is given as follows:
V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².
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Determine the relationship between set A and set Bif An B=0.
The intersection between A and B gives the empty set, so we can conclude that there are no common elements between the sets A and B.
What is the relationship between set A and set B?
Here we only know that:
A ∩ B = ∅
First, the intersection between two sets (defined by the symbol ∩ ) is the set of all the common elements between the two sets.
In this case we can see that the intersection between A and B gives the empty set, this means that there are no common elements between the sets A and B.
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-12 < y - 6
Help please.
it says i got s.a wrong.
Answer:
Surface area is also 384.
Step-by-step explanation:
A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384
what is the answer-3x+14-11+11x
Answer:
-3x+14
Step-by-step explanation:
Rewrite (132 + 228) using factoring.
4(32 + 57)
6(22 + 222)
4(33 + 57)
16(116 + 14)
The expression using factoring is 4 * (33 + 57)+ 8)
How to rewrite the expression using factoring?The expression is given as
(132 + 228)
Factor out 2 from the expression
So, we have
(132 + 228) = 2 * (66 + !14)
Factor out 2 from the expression
So, we have
(132 + 228) = 2 * 2 * (33 + 57)
This gives
(132 + 228) = 4 * (33 + 57)
Hence, the expression using factoring is 4 * (33 + 57)+ 8)
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5x²-7x+4 FACTORISATION??
Answer:
The answer is given in attached file.
Step-by-step explanation:
8. If a=-10, b-4, show that a - b ≠ b - a
Given : a = -10 and b = -4
To prove : a - b ≠ b - a
Proof : To put the values according to question,
-10 - (-4) = -4 - (-10)-10 + 4 = -4 + 10-6 ≠ 6Hence verified
I will mark brainliest!!
Answer choices are:
A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6
What is the answer yes or no?
Answer:
yes.
Step-by-step explanation:
Introduction to permutations and combinations
Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green.
(a)
How many ways can this be done, if the order of the choices is taken into
consideration?
(b)
How many ways can this be done, if the order of the choices is not taken into
consideration?
Answer:
(a) 6 choices
(b) 3 Choices
Step-by-step explanation:
Given:
3 Colors
Order of choice : Red, Blue, Green
(a) Order of the choices taken into consideration :
When we are picking the first colour there are 3 color choice.
When we are picking second colour there are 2 choice and so on.
Therefore, total choices are = 3*2 = 6 choices
(b) Order of the choices not taken into consideration :
When to take this option we choose as and the remove the duplicates
Therefore, choices are = = = 3 Choices
a. If a family has 5 children, in how many ways could the parents have 2 boys and 3 girls as children?
Answer: 10 ways
Step-by-step explanation:
5! / (3! * 2!)=
1*2*3*4*5/(1*2*3*1*2)=
4*5/(1*2)=
20/2=10 ways
find the real numbers that satisfy the equation |x| = 41.5
Answer:
x| = 78.7 is satisfied by both x = 78.7 and x = -78.7.
Step-by-step explanation:
Please show step by step… i don’t understand!
Answer:
14.47 . . . units
Step-by-step explanation:
Given the vertices of triangle XYZ are (-1, 3), (3, 0) and (-1, -2), you want the perimeter rounded to hundredths.
PerimeterThe perimeter of a polygon is the sum of the lengths of the sides. When the points defining a side are on a vertical line, as with segment XZ, the length is the difference of y-coordinates.
When the points are not on a horizontal or vertical line, the distance between them can be found using the distance formula.
Distance formulaThe distance between (x1, y1) and (x2, y2) is given by the formula ...
d = √((x2 -x1)² +(y2 -y1)²)
The length of segment XY is ...
d = √((3 -(-1))² +(0 -3)²) = √(4² +(-3)²) = √25 = 5
The length of segment YZ is ...
d = √((-1 -3)² +(-2-0)²) = √((-4)² +(-2)²) = √20 ≈ 4.47
Sum of side lengthsSide XZ has length (3 -(-2)) = 5, the difference of y-coordinates. Then the perimeter is ...
P = XZ +XY +YZ = 5 +5 +4.47
P = 14.47 . . . . units
The perimeter of the triangle is about 14.47 units.
How can I draw this problem?
Using translation concepts, the graph of f(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.Vertical compression by a factor of 2, due to the division by 2.Shift left of 4 units, as x -> x + 4.Shift up of 2 units, as y -> y + 2.Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
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Which of the following would help reduce labor costs a multiply cost by 0.30 or 30% be getting produce directly from a farm C eliminating overtime D reducing waste food in the using energy efficient lightbulb
The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.
According to the statement
We have to find that the correct option.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
We have to find the method to reduce labor costs.
Then
Option a is not correct because Reducing food waste is not control this
and Getting produce directly from a farm is also not correct and Multiply costs by 0.30 or 30% and Using energy efficient light bulbs is a wrong option.
then
By eliminating the overtime of the labor from the labor cost we reduce the labor costs.
So, The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.
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Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage. How many of each stamp did Neil use?
The cost of the each stamp is a 4$ and the 9$.
According to the statement
We have to find that the cost of the each stamp.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
Neil needs to mail a USB drive to a friend. He uses 43-cent stamps and 8-cent stamps to pay $2.01 in postage.
Then
48x + 7y = 255
let the value of the two unknowns.
Then
If x = 1, then y = 29.57, which is not a whole number.
If x = 2, then y = 122.71, which is not a whole number.
If x = 3, then y = 15.86, which is not a whole number.
If x = 4, then y = 9, which a a whole number. This is a solution
And we know that the answer will be in a whole number.
So, The cost of the each stamp is a 4$ and the 9$.
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Which expression represents the sum of 8 and twice m in algebra
Find the coordinates of the figure after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
What is Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
Transformation is the movement of a point from its initial location to a new location.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Therefore the coordinates remains same as previous figure.
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3/7 converted into a decimal
(Divide it)
Answer:0.428
Step-by-step explanation:
What is the correct answer?
Answer:
B
Step-by-step explanation:
The photo is unclear but based on what I saw, -61 is smaller than +61.
6. What value of x cannot be evaluated in the function r(x)? r(x)=x+13/x-3
Answer:
i'm pretty sure it's C.
Step-by-step explanation:
