If 2 and 6 were both negative, their combined value would be -2 + (-6) = -8. The arithmetic outcome of adding the magnitudes of the numbers, but with the opposite sign, yields the sum of negative integers. In this instance, the product of -2 and -6 is -8, which symbolises the joining of two negative values that produces a negative outcome.
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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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-12 < y - 6
Help please.
10 customers entered a store over the course of 4 minutes. At what rate were the customers entering the store in customers per minute?
The rate of customers entering the store in 1 minute is 2.5 customers per minute.
What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, and the orange to total fruit ratio is 8:14.So, the ratio is 10 : 4.
Now,
10 : 4Divide both sides by 4 as follows:
10/4 : 4/42.5 : 1Therefore, the rate of customers entering the store in 1 minute is 2.5 customers per minute.
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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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PLEASE BE FAST
Faith is going to use a computer at an internet cafe. The cafe charges $0.80 for every minute using a computer on top of an initial charge of $3. Make a table of values and then write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.
Here is the table of values:
Minutes Total cost
0 $3
1 $3.80
2 $4.60
3 $5.40
The equation representing the total cost is C = $3 + $0.80tt
What is the total cost?The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.
Total cost = initial charge + (cost per minute x number of minutes)
C = $3 + ($0.80 x tt)
C = $3 + $0.80tt
Total cost when the computer is used for one minute: C = $3 +( $0.80 x 1) = $3.80
Total cost when the computer is used for two minutes: C = $3 +( $0.80 x 2) = $4.60
Total cost when the computer is used for three minutes: C = $3 +( $0.80 x 3) = $5.40
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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
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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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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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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Which expression represents the sum of 8 and twice m in algebra
what is the answer-3x+14-11+11x
Answer:
-3x+14
Step-by-step explanation:
Simplify each algebraic expression
8(x+6)-6(x+1)+2
Answer:
2x + 44 (or) 2(x + 22)
Step-by-step explanation:
Let's solve the problem,
→ 8(x + 6) - 6(x + 1) + 2
→ 8x + 48 - 6x - 6 + 2
→ 2x + 48 - 4
→ 2x + 44
Thus, the answer is 2x + 44.
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
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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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:
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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3/7 converted into a decimal
(Divide it)
Answer:0.428
Step-by-step explanation:
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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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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$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?
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
According to the statement
We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.
So, For this purpose, we know that the
An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.
From the given information:
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
Then
we know that the
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).
AM
12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.
So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
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What is the answer yes or no?
Answer:
yes.
Step-by-step explanation:
DIG DEEPER There are
9 pigeons on a curb. 3 of
them fly away, and some
of them jump down to the
street. There are 4 left. How
many pigeons jumped down
to the street?
There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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5x²-7x+4 FACTORISATION??
Answer:
The answer is given in attached file.
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.
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:
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.
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:
It takes 90 pounds of seed to completely plant a 12 acre field. How many acres can be planted per pound of seed?
Answer:
There are 0.13 acres per pound of seed.
Step-by-step explanation:
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