Rational numbers are defined as "a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." This quote can be broken down to make it easier to understand. In basic terms, a rational number is a real number that is an integer, fraction, terminating decimal, or repeating decimal.
Integer
An integer is any positive or negative whole number including 0. Examples of integers include 4, -9, and 0.
Fraction
All fractions that do not have a 0 denominator (which makes the number undefined) are rational numbers. Additionally, complex fractions are not always considered rational numbers. Complex fractions are fractions where either the numerator or denominator is a decimal or fraction itself. Examples of rational fractions include [tex]\frac{4}5}[/tex], [tex]\frac{7}{4}[/tex], and [tex]\frac{2}{2}[/tex].
Terminating Decimals
Terminating decimals are decimals that have a finite number of digits. This means that the decimal stops at some point. Examples of terminating decimals include 0.346, 0.47834, and 0.345832454525456
Repeating Decimals
Repeating decimals are any decimal that is not terminating but has some pattern that repeats for infinity. Examples of repeating decimals include [tex]0.\bar 9[/tex], [tex]0.\bar8\bar6[/tex], and [tex]0.\bar 5\bar7\bar8\bar4[/tex]. In this case, the bar notation represents numbers that repeat forever.
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6) Rewrite terms that are subtracted as addition of the opposite. g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6) Group like terms. Combine like terms. Write the resulting polynomial in standard form. Complete the steps to find the sum. What is the sum? –7g4 + 4g3 – 3g2 + 5g – 3 –4g4 – 3g3 + 4g2 + 5g + 3 –4g4 + 4g2 + 14g – 6 –3g4 + 14g – 6
Answer:
(b) –4g^4 – 3g^3 + 4g^2 + 5g + 3
Step-by-step explanation:
The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.
__
Combine Like Termsg^2 + (–4g^4) + 5g + 9 + (–3g^3) + 3g^2 + (–6) . . . . given
The like terms are the g^2 terms and the constants.
= (1 +3)g^2 + (–4g^4) +5g +(9 +(–6)) +(–3g^3)
= 4g^2 +(–4g^4) +5g +3 +(–3g^3)
__
Write in Standard FormIn this form, the terms are written in order of decreasing degree.
= –4g^4 –3g^3 +4g^2 +5g +3
Answer:
(b) -4g^4 - 3g^3 + 4g^2 + 5g + 3
Step-by-step explanation:
Ed22
A size 8 kid’s shoe measures 9 2/3 inches. If 5 size 8 shoes are lined end to end, then how many inches will they cover?
Answer:
48 1/3
Step-by-step explanation:
Answer:29/3 x 10 = 290 / 3 = 96 2/3 inches
Step-by-step explanation:
please help im stuck on this
Answer:
7m
Step-by-step explanation:
The length is 3.5 cm
Since teh scale is 1 cm = 2m
3.5 cm = 2(3.5) m
3.5 cm = 7 m
Therefore our answer is 7m
Answer:
7m
Step-by-step explanation:
i multiplied both sides by 2
because
1cm = 2m so 2 divided by 1 is 2
2.5 times 2 is 5m
3.5 times 2 is 7m
actual area is
5 times 7 which is =
35m^2
At the grocery store, peaches cost $2.80 per pound. Stacey wants to buy 20 peaches that each weigh 4 oz. How much will Stacey need to pay for the peaches? HINT: There are 16 ounces in 1 pound.
Answer:
$14.00
Step-by-step explanation:
So, the 20 peaches all weigh 4 oz, and there are 16 oz in 1 pound. 16 oz divided by 4 is also equal to 4 oz, so we need to divide $2.80 by 4, which would be $0.70. That means that a 4 oz peach would be $0.70, so we multiply that by 20, which gives us $14.00, so Stacey will need $14.00 to buy 20 peaches that each weigh 4 oz.
The product of three and a squared number is twice the sum of the number and four.
A. 3x2 = 2(x+4)
B. (3x)2 = 2(x+4)
C. (3x)2 = 2x +4
D. 3x2 = 2x+4
Answer:
It B option.
Step-by-step explanation:
I hope it's the right answer.
What is the center and radius of the circle?
Answer:
Center = (5,-3) radius = sqrt (36) = 6
Step-by-step explanation:
i dont understanddd??/
Answer:
208 m^2
Step-by-step explanation:
Add the area of all of the rectangles and/or squares
4x6*2 + 4x8 *2 + 6x8 * 2
total = 208 m^2
8. an airplane is approaching seattle international airport. the pilot begins a 13
degree angle of descent starting from a height of 500 feet. how far from the airport
is the plane? round to the nearest tenth. (2 points)
work:
10° angle of descent
airport
the plane is away from the airport.
Answer:
x=2164.50
Step-by-step explanation:
tan13=500/x
x=500/tan13
x=500/0.231
x=2164.50
I think this is correct but im not to sure
help me!
[tex]\sqrt{84} +\sqrt{84} =?[/tex]
Answer:
18.4
Step-by-step explanation:
Well the square root of 84 isn't an exact answer.
But when rounded it equals to approximately 9.16 or rounded even more 9.2 at most.
So 9.2 + 9.2 = 18.4.
So the answer is ≈ 18.4
Have a good day or night wherever you are. May GOD Bless You!!
Answer:
=> 18.3303028 or 18.4
Step-by-step explanation:
=> √84 +√84 {√84 = 9.16515139 or 9.2}
=> 18.3303028 or 18.4
WILL GIVE BRAINLIEST, THANKS, AND 5STARS!
PLEASE HELP ME ANSWER THIS QUESTION
Answer:
h(.5)= -16(.5)^2 + 50
= 46
You inherit $5000 from your long lost Uncle Harold. The bad news is that the money must sit in a bank account for the next ten years until you can use it. The account earns 7. 2% interest, compounded annually. This means that you will need to multiply the amount of money by 1. 072 to determine how much money remains at the end of the next year
Answer:
5360
Step-by-step explanation:
5000*1.072=5360
Pentagon A is rotated 180° about its center and then translated to create pentagon B.
What is the value of x?
The value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°
What is the translation of plane figures?A plane figure translation is an isometry that translates each position of the figure at a distance and in a direction indicated by the vector.
It is also regarded as a sort of transformation that involves sliding each point in a plane figure at an identical distance in a similar direction.
From the attached image, the value of x after the simultaneous rotation and translation of pentagon A to create pentagon B is 110°.
Learn more about the translation of plane figures here:
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Q. Find the area of the figure. 10 cm2 12 cm2 20 cm2 24 cm2
Answer:
[tex]24cm^{2}[/tex]
Hope This Helps! :) Please give Brainliest if it does!
Betty sits 9 feet from the fulcrum and weighs 100 pounds. How far should Ginger sit if she weighs 125
pounds?
Answer:
7.2 feet
Step-by-step explanation:
Torque is calculated by T=Frsin(theta). Betty's total torque is 9 x 1000 (mg) = 9000. Since ginger weighs 125 pounds, 9000 = (125 x 10) x r. Solve for r and get 7.2 feet.
how do you do 6-4 6-5 math in 8th grade
Answer:
Image result for how do you do 6-4 6-5 math in 8th grade
The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Step-by-step explanation:
A piece of gold has a mass of 14.12 grams and a volume of 4 cubic centimeters. What is the density of the gold?
Answer:
3.53 g/cm^3.
Step-by-step explanation:
Density = mass/volume
= 14.12/ 4
= 3.53 g/cm^3.
5. Solve for x in the parallelogram below.
Answer:
11
Step-by-step explanation:
42 is also the degree for x so 42+42=84
there are 360 total degrees in a parallelogram
360-84=276
276 is divided by 2 as y and w are the same degrees
138 + 5 to find x and that is 143
143/13 is 11
What is the factored form of 8x2 12x? 4(4x2 8x) 4x(2x 3) 8x(x 4) 8x(x2 4)
A pole that is 3.2 meters tall casts a shadow that is 1.18 meters long. At the same time, a nearby tower casts a shadow that is 42.25 meters long. How tall is the tower? Round answer to the nearest tenth.
Answer:
114.6 meters tall
Step-by-step explanation:
If you draw out the poles and shadows, you can connect the end of the shadow to the top of the pole. This creates two traingles that are proportional. This allows you to set up the proportion:
3.2 m / 1.18 m = x / 42.25 m
You can then cross multiple and get:
1.18x = (3.2)(42.25)
1.18x = 135.2
You can then divide and solve for x.
x = 114.6 m
X is a variable for the height of the taller pole, so you can simply add units and thats the height.
what is 44237 divdied by 31 asap
Answer:
1427
Step-by-step explanation:
Sofia buys a two-gallon bottle of juice for $35.84. what is the unit rate of the cost of the juice per fluid ounce?
how many fluid ounces of juice did sofia buy?
Answer:
$0.14 per fl oz /// 256 fl oz of juice.
Step-by-step explanation:
The number of fluid oz per gallon = 128
2 gallons = 256 fl oz
$35.84/256= $0.14.
--------------------------------------
1 gallon = 128 fl oz.
128x2 = 256
2 gallons = 256 fl oz.
A rock was thrown from a cliff. Its path can be modelled by the relation h=-0.5d^2 + d + 12, where h is the height of the rock above the ground and d is the horizontal distance, both in metres. a) How high is the cliff? b) Write the relation in intercept form. c) Determine the zeros of the relation. d) At what horizontal distance did the
rock hit the ground? e) Graph the relation.
a) h = 12 ft, b) h = - 0.5 · (d - 6) · (d + 4), c) d₁ = 6, d₂ = -4, d) 6 ft, e) Please see the image attached below for further details.
How to analyze a second order polynomial related to the trajectory of the rock under parabolical motion
An object is under a parabolical motion, when it has a horizontal motion at constant velocity and a vertical motion uniformly accelerated by gravity and effects from air viscosity are neglected. In this case, the trajectory is described by second order polynomial (quadratic function).
a) The height of the cliff is found by evaluating the function at d = 0:
h = - 0.5 · 0² + 0 + 12
h = 12 ft
The initial height of the cliff is 12 feet. [tex]\blacksquare[/tex]
b) The intercept form of the quadratic function is found by algebraic procedures:
h = - 0.5 · d² + d + 12
h = - 0.5 · (d² - 2 · d - 24)
h = - 0.5 · (d - 6) · (d + 4)
The relation in intercept form is h = - 0.5 · (d - 6) · (d + 4). [tex]\blacksquare[/tex]
c) The zeros of the relation are d₁ = 6 and d₂ = -4. [tex]\blacksquare[/tex]
d) The rock hit the ground at a horizontal distance of 6 feet. [tex]\blacksquare[/tex]
e) The relation is graphed below. [tex]\blacksquare[/tex]
To learn more on quadratic functions, we kindly invite to check this verified question: https://brainly.com/question/5975436
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 10,000π in.3
Answer: H is approximately 3ft (to nearest whole number)
Step-by-step explanation:
250 = π(5)²h
250 = 25×3.14×h
250 = 78.5h
H = 250/78.5h = 3.19
I hope this helps you out love!
In circle G with m \angle FGH= 42m∠FGH=42 and FG=6FG=6 units find area of sector FGH. Round to the nearest hundredth.
The area of the sector with a radius of 6units and an angle of 4 degrees rounded to the nearest hundredth is 13.19 square units
How to find the area of a sector?The sector is a part of a circle with an angle subtended at the centre. The formula for calculating the area of a sector is expressed as:
A = r²Ф/2
where:
r is the radius
Ф is the subtended angle
Given the following
r = 6 units
Ф = 42degres
SubstituteArea of the sector = 6²/2 * 42/180 π
Area of the sector = 13.188units
Hence the area of the sector rounded to the nearest hundredth is 13.19 square units
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Which of the following services will be provided by a full-service broker but not by a discount broker? i. research of potential investment opportunities ii. purchase and sale of stock at your request iii. recommendation of investments a. i and iii b. ii only c. iii only d. i, ii, and iii
The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.
What is a broker?A broker is a person or company who works as a go-between for an investor and a securities exchange. Securities exchanges only accept orders from people or businesses that are members of the exchange.
The services of a full-service broker include;
1. Look into investment alternatives that may be advantageous.
2. Can trade in stock at a client's request.
The services will be provided by a full-service broker but not by a discount broker will be the research of potential investment opportunities, purchase, and sale of stock at your request.
Hence option a ( i and iii ) are correct.
To learn more about brokers refer to the link;
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Answer:
A
Step-by-step explanation:
100% on edge
help help help please thanks
Answer:
1/15 gal / mile if your numbers are correct
Step-by-step explanation:
1/5 / 15/4 = 1/5 * 4 / 15 = 4/60 = 1/15
34+90.672+527x-8x-9z simplify pls
Answer:
if you want i can make it into typed numbers with no file just tell me in the comments
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here is your answer BEST friend :)
===============================================================can i have brainiest thanks BEST friend
-. Write the integers -5, 4, 0, -8 in order from least to greatest.
A. 0, 4, -5, -8.
C.-8, -5, 0,4
B.-5, -8,0,4
D. 4,0, -5, -8
Answer:
This is the answer
C. -8, -5, 0,4
To avoid a storm, airline
pilots flew the path shown
at the right from Houston to
Cleveland. How many
miles farther did they travel
than if they had gone directly?
Graph is in the picture.
Answer:
add them to get the answer then times 2 to it
Step-by-step explanation:
2,037 + 366 = 2,403
Answer---2,403
Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.
Answer:
Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.
Step-by-step explanation:
(8 x 10) = eight times ten
(6 x 1) = six times one
(2 x 0.1) = two times one-tenth
(7 x 0.001) = seven times one-thousandth
I am not always the best with the equations to words stuff, so please comment if I am wrong!