Answer:
rational number
Step-by-step explanation:
Natural numbers:
This is every number in the sequence 1, 2, 3, 4...
Whole numbers:
This is all of the above, but it also includes 0.
Integers:
All of the above, but this also includes negative numbers.
Rational numbers:
A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:
[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]
Irrational numbers:
Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.
[tex]\pi, \sqrt{3}[/tex]
=========================
You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:
[tex]8.4444=\frac{21111}{2500}[/tex]
In the case that it was a repeating decimal, those are also rational numbers. Take this for example:
[tex]0.3333333...[/tex]
This is rational:
[tex]\frac{1}{3}=0.333333...[/tex]
help me please please
Answer:
its 3 OR C
Step-by-step explanation:
Write g(x)=40x+4x2 in vertex form
WILL GIVE BRAINLIEST
Answer:
the y intercept is 5/3
the y intercept is 3/5
Which of the following equations could be the equation to represent the given graph? Make sure you explain your answer thoroughly.
Unit 7 Algebra 2a sample work connections academy
The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
The graph is an exponential function, and it passes through the points:
[tex](x,y) = (1,1)\ (0,2)[/tex]
An exponential function is represented with:
[tex]y = ab^x[/tex]
At (0,2), we have:
[tex]ab^0 = 2[/tex]
This gives
[tex]a(1) = 2[/tex]
[tex]a = 2[/tex]
At (1,1), we have:
[tex]ab^1 = 1[/tex]
[tex]ab = 1[/tex]
Substitute 2 for (a)
[tex]2b = 1[/tex]
Divide both sides by 2
[tex]b = \frac 12[/tex]
Substitute values for a and b in [tex]y = ab^x[/tex]
[tex]y = 2(\frac 12)^x[/tex]
Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]
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Please look for the question in the picture.
Answer: The blue dot's value on the number line is 1.
Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.
the first person to get this right earns breainlesit!!!!!!!!
witch expressions are evculient to 4b?
Answer:
B,C,D,F, those are yhe right answer
which measures form a triangle
[tex]\huge \rm༆ Answer ༄[/tex]
Measure of each side of a triangle can't be greater than the sum of the other two sides and can't be smaller than the difference between the two other sides. therefore the most appropriate choice is ~
4 cm , 7 cm and 9 cmI hope it helps ~
We have:
1) 3 + 5 = 8 ⇒ wrong
2) 4 + 7 > 9 ⇒ right
3) 2 + 11 < 15 ⇒ wrong
ANSWER: 4 cm, 7 cm, 9 cm
Ok done. Thank to me :>
When you’re driving and your instructor tells you to do a shoulder check, do you look directly to the right and left or behind your shoulder
Answer:
If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.
Help help help math math
Answer:
Slope = 4
Step-by-step explanation:
Change in Y = 4
Change in X = 1
Slope = Δy/Δx = 4/1 = 4
find the area of a square park whose perimeter is 400m
Answer: 1600m^2
Its a square so all sides are equal. So...
400m * 400m
= 1600m^2
How do you factor x2 + 2xy + y2 -2^4
Answer:
try this answer x2 + 2xy + y2 - 16
The perimeter of the equilateral triangle drawn below is 9b + 12.
The shape below is made of four of these triangles.
Find a simplified expression for its perimeter.
subtract 19/12 - 3/4
[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]
Answer:
[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]
Step-by-step explanation:
[tex] \frac{19}{12} - \frac{3}{4} [/tex]
[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]
[tex] = \frac{76}{48} - \frac{36}{48} [/tex]
[tex] = \frac{76 - 36}{48}[/tex]
[tex]= \frac{40}{48} [/tex]
[tex] = \frac{40 \div 8}{48 \div 8} [/tex]
[tex] = \frac{5}{6}[/tex]
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
The bisector of a given angle
Step-by-step explanation:
Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.
Find a polynomial f(x) of degree 4 that has the following zeros. -7, 0, 1, 6
leave your answer in factored form.
please help! its my exam study guide and i need to finish it!
[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]
[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]
Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?
Answer:
a. about 8.3%
b. 2.172 m
Step-by-step explanation:
a. 1.81 * x = 1.96
x = 1.083
Percent increase is approximately 8.3%
b. 1.81 * 1.2 = x
x = 2.172 m
How do I verify: tan(x)+cot(x)=(2)/sin(2x)?
I always get stuck after writing out (sin^2x+cos^2x)/sin(x)cos(x)
[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]
now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.
let's recall something else, that same/same = 1, so
[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]
therefore
[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]
the perimeter of a square is 44 cm find the area
Answer:
The given perimeter is \[44cm\]. Hence, the area of the given square is \[121c{m^2}\].
Step-by-step explanation:
Elijah was six times as old as his son. In twelve years he will be twice as old as his son. How old are they now
To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.
The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.
eight years ago = x - 8
Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.
Now, putting this all together gives us our first equation:
x - 8 = 6(y - 8)
We can now rewrite this equation in standard form:
x - 8 = 6y - 48 ----->
x - 6y = -48 + 8 ----->
x - 6y = -40 <----- this is our first linear equation
To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:
x + 12 = 2(y + 12)
Now, we need to rewrite this equation in standard form:
x + 12 = 2y + 24 ----->
x - 2y = 24 - 12 ----->
x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:
x - 6y = -40
x - 2y = 12
Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:
x - 6y = -40
-x + 2y = -12
Now we can add both equations together:
x - x - 6y + 2y = -40 + -12 ----->
-4y = -52
Solve for y, by dividing both sides of the equation by -4, giving us:
y = 13
So, now we know the son's age: 13
To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:
x - 6(13) = -40 ----->
x - 78 = -40 ----->
x = 78 - 40 ----->
x = 38
Therefore, Mr. Fontana is 38 years old and his son is 13 years old.
Serena is driving to the mountains for a summer
camping trip. She is traveling at a constant rate of 45
miles per hour. The graph shows the ratio time:
distance. How far has Serena traveled after 4 hours?
Find the slope of the line. Describe how one variable changes in relation to the other.
A. 2/3; the amount of water increases by 2 gallons every 3 min
B. -2/3; the amount of water decreases by 2 gallons every 3 min
C. -3/2; the amount of water decreases by 3 gallons every 2 min
D. -1; the amount of water decreases by 1 gallon every minute
Answer:
D. -1 the amount of water decreases by 1 gallon every minute.
Step-by-step explanation:
15, 0 -> 12, 3
3 - 0 = 3
-------
12 - 15 = -3
3/ -3 = -1
Help help help help help math math
Step-by-step explanation:
again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.
therefore, both angles must be identical
3x + 2 = 2x + 6
x = 4
John is packing cookies for Key club's bake sale. He has 48 chocolate chips cookies and 56 peanut butter cookies. What is the maximum number of bags he can make?
The maximum number of bags is an illustration of the greatest common factor
The maximum number of bags John can make is 8
The given parameters are:
[tex]Chocolate=48[/tex]
[tex]Peanut=56[/tex]
Start by expressing 48 and 56 as a product of their factors.
[tex]Chocolate = 1 \times 2 \times 2 \times 2 \times 2 \times 3[/tex]
[tex]Peanut = 1 \times 2 \times 2 \times 2 \times 7[/tex]
The product of the common factors between the above products is:
[tex]Factors = 1 \times 2 \times 2 \times 2[/tex]
Multiply
[tex]Factors = 8[/tex]
The above represents the greatest common factor of 48 and 56.
Hence, the maximum number of bags John can make is 8
Read more about greatest common factor at:
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Step-by-step explanation:
To determine the maximum number of bags John can make, we need to find the greatest common divisor (GCD) of the two quantities: 48 chocolate chip cookies and 56 peanut butter cookies.
The GCD is the largest number that divides both quantities without leaving a remainder. It represents the maximum number of bags that can be made, with each bag containing an equal number of cookies of each type.
Let's find the GCD of 48 and 56:
Step 1: List the divisors of each number:
Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Step 2: Identify the common divisors in both lists:
Common divisors of 48 and 56: 1, 2, 4, 8
Step 3: Determine the greatest common divisor (GCD):
The greatest common divisor of 48 and 56 is 8.
So, John can make a maximum of 8 bags, with each bag containing an equal number of chocolate chip and peanut butter cookies.
PLEASE MARK AS BRAINLIEST IF SATISFIED WITH THIS ANSWER PLEASE
Ricky ran 3/4 of a mile in 1/12 of an hour. What was Ricky´s average speed?
Answer: 9
Step-by-step explanation:
3/4mile takes 1/12 hours
so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour
Answer:
3/2 miles per hour
Step-by-step explanation:
To find his average speed, divide 3/4 mile by 1/2 hour:
3 2
----- * ------ = 3/2 miles per hour
4 1
A car travels 18 miles on a gallon of gas. The car used 65 gallons of gas last week.compute the number of miles the car traveled?
Answer: 1170 miles
Work Shown:
(18 miles)/(1 gallon) = (x miles)/(65 gallons)
18/1 = x/65
x/65 = 18
x = 65*18
x = 1170
Answer: 1170 miles
1 gallon of gas --> 18 miles
65 gallon of gas --> 18 * 65 (which is 1170 miles)
Help please, help please
Answer:
i think the perimeter is 60
Step-by-step explanation:
9²+12² = x²
15 = x
perimeter = 15×4 = 60
Answer each question and round your answer to the nearest whole number
A model power plant has a scale of 2 cm: 4 m. If the model power plant is 6 cm tall,
then how tall is the real power plant?
3 m
O 12 m
2 m
O 10 m
40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5
Answer:
f(2) = 2.5×2-10.5
=5-10.5
=-5.5
g(2) = 64(0.5×2)
= 64×1
=64
f(3)=2.5×3-10.5
=7.5-10.5
=-3
g(3)=64(0.5×3)
=64×1.5
=96
f(4)=2.5×4-10.5
=10-10.5
=-500
g(4)=64(0.5×4)
=64×2
=128
f(5)=2.5×5-10.5
=12.5-10.5
=2
g(5)=64(0.5×5)
=64×2.5
=150
I think it is the processs It will help you
if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
Please Guyz I Want Full Solved Not Just Answer Please
Answer:
50 cm
Step-by-step explanation:
let x be the heigth we are looking for.
Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]
Since it's a cuboid, we assume opposite sides are equal.
So each rectangle is counted twice:
[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]
Now, we just isolate x:
[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]
Answer:50 cm
What is the value of x?
O
O x = 32
O x = 36
x = 37
(x + 15)
xº
(4x - 20)
O x = 40
Answer:
x + (4x-20) = 180
by linear pair
therefore x= 70
Applying the definition of linear pair, the value of x is: D. 40.
What is a Linear PairA linear pair is a set of angles on a straight line.Straight line angle = 180 degrees.Linear pair of angles add up to 180 degrees.Therefore:
x + (4x - 20°) = 180°
Solve for x5x - 20 = 180
5x = 180 + 20
5x = 200
Divide both sides by 5x = 40
Therefore, applying the definition of linear pair, the value of x is: D. 40.
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