Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
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You have already saved $75 dollars for a new TV. You are
week from now on. Write an equation to model the amount of your savings.
If the TV costs $250, how many weeks will you need to save?
Cooldown
Tyana swims at a constant speed, 4 meters every 5 seconds. How long does it take her to swim 20
meters? Solve using two different methods
Answer:
25 seconds
Step-by-step explanation:
Two methods:
1) Calculate Tyana's speed in m/sec: 4m/5sec = 0.8 m/sec. Now find the number of seconds, x, needed to travel 20 meters:
x*(0.8 m/sec) = 20 m
x = 20 m/(0.8 m/sec)
x = 25 seconds
2) Do a proportion. If Tyana can swim 4 meters in 5 sec, then she can do 8 meters in 10 seconds. That also then means 16 meters in 20 seconds. Another 5 seconds adds another 4 meters, for a total of 20 meters in 25 seconds.
A friend is having trouble comparing rational numbers. Write an explanation that will tell your friend how to decide if a rational number is greater than, less than, or equal to another rational number.
Please help! please find the answer!
Answer:
I’m pretty sure it’s the bottom one
Step-by-step explanation:
Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)
Answer:
y = -3x + -9/6
-9/6 simplified as -3/2
Simplify the monomial (final answers should contain
positive exponents only.):
The side length of a cube can be represented by the
expression 2x. If the side length is doubled, write an
expression to represent the new volume of the cube.
[Hint: V=lwh, all sides are equal in a cube]
==========================================
Work Shown:
old side length = 2x
new side length = 2*(old side length) = 2*2x = 4x
For any cube, the length, width and height are all the same. So L = W = H.
volume = L*W*H
volume = L*L*L
volume = L^3
volume = (4x)^3
volume = 4^3*x^3
volume = 64x^3
The remainder obtained when x⁴ +15x³ +6x² - 12x + 3 is divided by (x+2) is____.
Answer:
-53
Step-by-step explanation:
(x+2)
x^4 = -2^4 = 16
15x^3 = 15* (-2)^3 = -120
6x^2 = 6(-2^2) = 24
12x = 12*(-2) = -24
substitute into equation:
x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53
Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3
Divisor = x+2
We know that
Remainder Theorem:
Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).
So, P(x) is divided by (x+2) then the remainder is P(-2).
P(-2) =
⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3
⇛ 16+15(-8)+6(4)+72+3
⇛16-120+24+72+3
⇛ 67-120
⇛ -53
P(-2) = -53
Answer:- The remainder is -53.
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HURRY PLS HELP IN 5 MINS
Answer:
P is the incorrect answer
If the simple interest on $4,000 for 5 years is $1,400, then what is the interest rate?
Answer:
7%
Step-by-step explanation:
5 years= $1,400
1 year= 1,400/5= 280
$280 is ?% of $4,000
(280/4000)*100
so, 7%
Hope this helps!
Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely
Answer:
Step-by-step explanation:
7 2/9 + -5 1/5 =
show your work, show me how you got this answer
Answer:
Step-by-step explanation:
Convert mixed fraction to improper fraction.
Find LCM of the denominators and find equivalent fraction.
Now, subtract
[tex]7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}[/tex]
[tex]5\dfrac{1}{5}=\dfrac{26}{5}[/tex]
LCM of 9 and 5 = 45
[tex]\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}[/tex]
[tex]\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}[/tex]
[tex]7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}[/tex]
The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s)
Step-by-step explanation:
how many cups of water do you need to fill fill one jar
PLZ!!! HELP!!!!!
What is the slope
Answer:
zero slope
Step-by-step explanation:
horizontal lines are zero slope because they are not slanted (slope)
this is a horizontal line.
Using the findings (e.g., themes) from a qualitative study to develop a new quantitative survey is known as what type of integration
Using the findings from a qualitative study to develop a new quantitative survey is known as mixed integration.
Mixed integration is called the data collection and information classification system that includes both qualitative and quantitative processes as access mechanism to said data and information, that is, performing a mixed or dual analysis of the concepts being studied.
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if you help ill mark you brilliant
Answer:
8/5
Step-by-step explanation:
hope this helps :D
Triangle MNO is similar to triangle PRS. Find the measure of side RS. Round
answer to the nearest tenth if necessary. Figures are not drawn to scale.
Write an explicit formula for the recursive formula
A(n) = A(n - 1) + 3; A(1) = 6
Answer:
[tex]a_{n}[/tex] = 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
[tex]\sqrt{250} * 810[/tex]
using oliver's table, how can you find the unit rate
The unit rate of the distance covered per unit stride taken is; 3.5 ft per stride.
How to find the unit rate?From the given table and graph, we see that;
Number of strides taken is on the x-axis.
Distance covered for each respective number of strides is on the y-axis.
Now, the rate will be;
Rate = Change in Distance covered/Change in number of strides
Thus;
Rate = (14 - 7)/(4 - 2)
Rate = 7/2
Rate = 3.5 ft per strides
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Answer:
Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.
Step-by-step explanation:
(-11)-8+(-7)-(-14)
Answer
I need help with these 3 questions. No links, please.
Answer:
Q9: C.
Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.
[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]
Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]
Q10: B
We can subtract/ignore 3 from all of them to make things simpler.
Now, we need to find the lowest value to greatest from:
[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]
In order to compare these, we make the denominators the same (in this case: 16)
[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]
[tex]\frac{7}{16} =\frac{7}{16}[/tex]
[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]
Since 7 is the smallest value, followed by 8 and lastly 10,
the smallest to greatest in order would be
[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)
11: C
If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.
PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?
Answer:
Its not always the same, 45 dollars
Step-by-step explanation:
Here is why its not always the same:
12/2 = 6 dollars/pound
30/6 = 5 dollars/pound
35/7 = 5 dollars/pound
we can see that they are not the same price as they vary.
For 9 pounds we can assume that the price would continue to be 5 dollars/pound:
x/5 = 9
x=5*9
x= 45
A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place, how many times greater would the value of the 2 be?
The value of the 2 would be ____ times greater
Answer:
10?
Step-by-step explanation:
it is either 10x or 100x :)) can i get brainliest? hope ur having a good day btw :DD
The place value of 2 will be 100 times greater than before.
What is place value?Place value is a numerical value that every digit in a number has based on its position.
For example; in a number 2398, the place value of 3 is 300, as it is placed at hundredth place.
Given that, A whole number has a 2 in the tens place. If the 2 were moved from the tens place to the thousands place,
At tens place, the value of a number will multiplied by 10 as it is at tenth place,
At tens place = 20
Similarly,
At thousand place, the value of a number will multiplied by 100 as it is at thousand place,
At thousand place = 2000
2000 / 20 = 100
Hence, the value of 2 will be 100 times greater than before.
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Help pls! This is timed
Answer:
c. is correct
Step-by-step explanation:
hipe its attachments
I need help so help please
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 3 ) and (x₂, y₂ ) = (2, 5 ) ← 2 points on the line
m = [tex]\frac{5-(-3)}{2-(-2)}[/tex] = [tex]\frac{5+3}{2+2}[/tex] = [tex]\frac{8}{4}[/tex] = 2
the bulk juice outlet charges $4 for a quart of any organic juice. using this information, fill in the prices for different volumes of juice.
Answer: 8 for 1/2 gallon, 16 for a gallon
Step-by-step explanation:
The power, P(watts), of a car engine is proportional to the square of its speed, s(m/s).
When s=45 P=2200.
Work out the speed (to 1 DP) when the power is 1890 watts
The speed of the car is 41.7 m/s when the power is 1890 watts.
What is Proportion?Proportion is defined as an equation on which two or more ratios are made to be equal to each other.
It is given that the power, P is proportional to square of the Speed,s.
If P ∝ s², then P = k s², for some constant k.
When s = 45 m/s, P = 2200 watts
k = P / s² = 2200 / 45² = 1.086
∴ when P = 1890 watts,
1890 = 1.086 × s²
s² = 1740.331
s = 41.717 ≈ 41.7 m/s
Hence, if power is proportional to the square of the speed, then, the speed of the car engine is 41.7 m/s if the power is 1890 watts.
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Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
Option B is correct.
Step-by-step explanation:
Our expression is:
n² + 26n + 88Let's check all of our options to see if any option is accurate.
Option A:
(n + 8)(n + 11)
=> n² + 11n + 8n + 88
=> n² + 19n + 88
n² + 19n + 88 ≠ n² + 26n + 88
Option B:
(n + 4)(n + 22)
=> n² + 22n + 4n + 88
=> n² + 26n + 88
=> n² + 26n + 88 = n² + 26n + 88 ✔
Option C:
(n + 4)(n + 24)
=> n² + 24n + 4n + 96
=> n² + 28n + 96
=> n² + 28n + 96 ≠ n² + 26n + 88
Option D:
(n + 8)(n + 18)
=> n² + 18n + 8n + 144
=> n² + 26n + 144
=> n² + 26n + 144 ≠ n² + 26n + 88
Conclusion:
So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped
Answer:
B
Step-by-step explanation:
edge 22'
Please help me please help meeee please
Answer:
The answer is D
Step-by-step explanation:
is this right ill give brainliest
Answer:
1. 3rd
2. 3rd
3. 1st
4. 1st
Answer:
no
Step-by-step explanation:
1. is right
2. is third-person
3. is right
4. is right