3 and -3 are additive inverses because 3 + (-3) = 0.
Therefore, -3 is the additive inverse of 3.
Additive Inverse:
The additive reciprocal/ Inverse of a number is its inverse. When a number is added to the additive reciprocal, both numbers sum to zero. A simple rule is to change positive numbers to negative numbers and vice versa. We know that 3+ (-3) =0. So -3 is the additive reciprocal of 3, and 3 is the additive reciprocal of -3.
If the sum of two real numbers is 0, each real number is said to be the additive reciprocal of the other real number. Therefore, R + (-R) = 0. where R is a real number. R and -R are the additive reciprocals of each other. Example: 3/4 + (-3/4) = 0. where 3/4 is the additive reciprocal of -3/4 and vice versa. This is an example of the additive reciprocal of a fraction.
We have room temperature water in a bucket. Adding 1 liter of hot water raises the temperature of the entire bucket by a certain amount. Then add another liter of cold water. Opposite temperature water in the bucket will cancel out, resulting in a bucket of room temperature water. The same rules apply when taking the additive reciprocal of a number. The additive inverse property applies to both real and complex numbers.
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Find the volume of a triangular pyramid with a right triangular base that has leg lengths of 8.4 centimeters and 9.2 centimeters and a height of 6.2 centimeters.
Answer:
9.2+8.4+6.2
Step-by-step explanation:
hope that helps
Graph the line that passes through the points (9, 4) and (9, 1) and
determine the equation of the line.
Answer:
x = 9
Step-by-step explanation:
The equation is y = mx + b
m = The slope
b = y-intercept
The slope here is undefined, and there is no y-intercept, so the equation is
x = 9
Find the sum: (35s − 7 +23t) + (212 − 16t − 310s)
Answer:
-275s+205+7t
Step-by-step explanation:
since it is addition, you can just remove the parentheses without doing anything else. Then just add the ones with the same coefficients.
please answer this! I need help :) please no bots, i'm looking for a real answer!
Mean, median and mode stuff.
Answer:
Step-by-step explanation:
range is biggest value minus smallest value: 36
median is the line in the middle of the box: 30
minimum value is the smallest number of the set: 6
maximum value is the biggest number of the set: 42
first quartile is the first line of the box plot: 27
third quartile is the third line of the box plot: 38
Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled by
each?
Answer:
x+6=y and 3x=12
Step-by-step explanation:
Let x be the distance traveled by Bryan and let y be the distance traveled by Sam then the first equation would be:
x+6=y (x plus 6 is equal to y, Bryan's distance plus 6 is equal to Sam's distance) and the second one is:
3x=12 (3 times x is 12, 3 times the distance travelled by Bryan is 12)
So our statements/equations are:
x+6=y and
3x=12 (we dont write this as x=4 as it asks us to give the statements we got from the information given, we only start simplifying once it tells us to solve)
An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.
Speed of the given object in centimeters per hour
= 0.23 cm / hour
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Like 1 yard = 91.44 cm
1 month = 730 hrs.
Given,
Distance covered by the object = 11 yards
Distance covered in cm = 11 × 91.44 = 1005.84 cm
Time taken to cover 11 yards = 6 months
Time taken in hours = 6 × 730 = 4380 hrs.
Speed of the object = distance covered by the object / Time taken
Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour
Hence, in centimeters per hour,
the speed of the object is 0.23 cm / hour.
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Can someone help ASAP
Answer:
i dont see the pic
Step-by-step explanation:
3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N
Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.
Here,
tan x tan 4x=1
cos 4X cos X - sin 4x sin x=0
cos 5x=0
5x=(n+1/2)π,n ∈ Z
x=(2n+1)/10 π,0 <x <π
π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)
Thus, there are only four solutions.
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Can someone help me please
Answer:
one solution
Step-by-step explanation:
Answer:
This mean the line intersect at one point the y-intercpt. recall that interscecting line have one solution and therefore the system is consistent. Beacuse the line are not the same, but equations are independent.
Step-by-step explanation:
i hope his help =)
Help!! I will give brainlest to the right one!
Base your answer(s) to the following question(s) on the diagram of a food web and on your knowledge of biology. If the population of mice is reduced by disease, which change will most likely occur in the food web? A. The cricket population will increase. B. The snake population will increase. C. The grasses will decrease. D. The deer population will decrease.
please help ill give 50 points
Answer:
[tex]64 m^{2}[/tex]
Step-by-step explanation:
10 x 4 = 40
8 x 3 = 24
40 + 24 = 64
Mark as brainllest
Find the theoretical probability that a 12-month calendar is turned to the month of May or the month of June. Write your answer as a fraction in simplest form.
Probability that the calendar turned to month of May or June is 1/6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Total number of months = 12
Suppose that a calendar is turned.
Probability that the calendar turned to month of May = 1/12
Probability that the calendar turned to month of June = 1/12
Probability that the calendar turned to month of May or June = 1/12 + 1/12
= 2/12
= 1/6
Hence the probability that the calendar turned to month of May or June is 1/6.
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Dange measures and finds that she can do a vertical jump that is27.5 % her height f dange can jump 13.2 inches how tall is she
The height of Dange who can jump 27.5% of her height is 10.4 inches.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dange measures and finds that she can do a vertical jump that is 27.5 % of her height f and the distance of the jump is 13.2 inches.
Therefore. (100 + 27.5)% = 127.5% of f is 13.2 inches, This can be numerically expressed as,
(127.5/100)×f = 13.2.
1.275f = 13.2.
f = 13.2/1.27.
f = 10.4 feet.
So, The height of Dange is 10.4 inches.
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Jocelyn owns a small business selling used books. She knows that in the last week 51
customers paid cash, 63 customers used a debit card, and 25 customers used a credit
card.
Based on these results, express the probability that the next customer will pay with
cash or a debit card as a percent to the nearest whole number?
Answer:
82%
Step-by-step explanation:
Help me on this question.
The value of y from the equation is y = 5
The measure of RS = 38
The measure of ST = 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , on the number line , the measures of the sides are
The measure of RS = 7y + 3 be equation (1)
The measure of ST = 2y + 8 be equation (2)
The measure of RT = 56
Now , from the line segment ,
RT = RS + ST be equation (3)
Substituting the values in the equation , we get
7y + 3 + 2y + 8 = 56
On simplifying the equation , we get
9y + 11 = 56
Subtracting 11 on both sides of the equation , we get
9y = 45
Divide by 9 on both sides of the equation , we get
y = 5
Substitute the value of y in equations (1) and equation (2) , we get
The measure of RS = 7 ( 5 ) + 3 = 38
The measure of ST = 2 ( 5 ) + 8 = 18
Hence , the equations are solved and the value of y = 5
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Jeremy made nine out of twelve basketball shots in P.E. class. What decimal and percent represents the number of shots he made?
Find the surface area and round to the nearest hundredths place when necessary.
Answer:
6 x 14 = 84
84 x 2(since there are two small rectangles) = 168
22 x 6 = 132
132 x 2 = 264
264 x 2(since there are two of the same shape) = 528
22 x 14 = 308
308 x 2(since there are two of the same shape) = 616
Now we add up all the areas:
168 + 528 + 616 = 1312 square cm is your answer.
Someone please help me with this
The Taylor family had a $74 dinner bill. How
much did they pay after including an 18%
tip?
Answer:
$87.82
Step-by-step explanation:
You do $74 divided by .18 which gets you $13.82. Then you add $74 and $13.82 which gives you the total, $87.82
Calculate the median of the following list of numbers: 3, 5, 2, 10, 6, 3, 7, 3
The median of the list of numbers is 4
How to determine the median?The numbers are given as:
3, 5, 2, 10, 6, 3, 7, 3
Sort the numbers in ascending order
2, 3, 3, 3, 5, 6, 7, 10
The median is the middle number.
The middle numbers in the above data are 3 and 5
So, the median is:
Median =(3 + 5)/2
Evaluate
Median =4
Hence, the median of the list of numbers is 4
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The following is a stem-and-leaf display representing the amount of gasoline purchased, in gallons (with leaves in tenths of gallons), for a sample of 25 cars that use a particular service station on the New Jersey Turnpike: 9 147 10 02238 11 125566777 12 223489 13 02 (a) Construct an ordered array. (b) Which of these two displays seems to provide more information? Discuss
The ordered array will be 9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
What is leaf plot?
A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.
In this instance, the number on the left of the division stands in for the number in the tens place. The value or values on the right side are the ones that fall between the tens and ones places. The number "9.1" is the equivalent of the word "911," for instance. When a number appears more than once on the right side of a division, that number appears more than once in the tens place. In this case, the three numbers 9.1, 9.4, and 9.7 are represented by the string "9 | 147".
Hence, There is an ordered array when reading the stem and leaf plot from top to bottom:
9.1 9.4 9.7 10.0 10.2 10.2 10.3 10.8 11.1 11.2 11.5 11.5 11.6 11.6 11.7 11.7 12.2 12.2 12.3 12.4 12.8 12.9 13.0 13.2
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What’s the equation y= what ? pls help me!
Answer:
Y=mx+b
Step-by-step explanation:
That's the slope equation, though y could mean anything from a point on a graph to the question.
Which of the following functions has a vertex of (-1,2)?
Choose 3.
f(x) = (x + 1)^2 + 2
g(x) = x^2 - 1x + 2
h(x) = -x^2 + 2
r(x)= x^2+2x+3
t(x) = -(x + 1)^2 + 2
Answer:
f(x) , r(x), t(x)
Step-by-step explanation:
March Madness Movies served 2323 lemonades out of a total of 111111 fountain drinks last weekend. Based on this data, what is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade?
23/111 is a reasonable estimate of the probability that the next fountain drink ordered is a lemonade.
What do you mean by Probability?Probability theory deals with numerical evaluations of the likelihood that an event will occur.
Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.
A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.
March Madness Movies served 23 lemonades out of a total of 111 fountain drink last weekend.
The probability that the a fountain drink ordered is a lemonade will be :-
P= [tex]\frac{Number of lemonade}{Total fountain drink}[/tex]
= 23/111
Based on this data, the reasonable estimate of the probability that the next fountain drink ordered is a lemonade = 23/111.
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What is the solution?
Answer:
no solution
Step-by-step explanation:
The lines do not cross at any point; therefore, there is no solution.
question: 49a+26+11–3–6
Answer:
49a + 28
Step-by-step explanation:
Answer:
49a+28
Step-by-step explanation:
49a+26+11–3–6
49a+26+11-9
49a+26+2
49a+28
Brainliest!!!
Marc's brownie pan, shown below, has a pair of parallel sides. Each day, Marc's family is going to eat 100 square centimeters of brownie from the pan. For how many days does Marc's family have brovnics before they run out? top:29 bottom: 41 side : 20
Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.
How to calculate a square meter?We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.
Because of this, Marc has access to brownies for 3.6 days until they are finished.
Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.
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please uhm help me heh
Answer:
d=90°
e=81°
f=99°
Step-by-step explanation:
To find f
180-81
=99
Answer:
d = 90°
e = 81°
f = 99°
Step-by-step explanation:
Have a nice day!
i have a procrastination problem so um yay points for free #momboss
Answer:
Thanks
Step-by-step explanation:
ADDFFFG