Answer:
All terminating and repeating decimals are not rational numbers. For example, pi is a non-terminating & irrational number.
Step-by-step explanation:
The given statement "Are all terminating and repeating decimals rational numbers? Expla" is true.
Yes, all terminating and repeating decimals are rational numbers. A
rational number is defined as any number that can be expressed as a ratio of two integers, with the denominator not equal to zero.
Terminating decimals are those decimals that end after a finite number of digits.
For example, 0.75 is a terminating decimal because it ends after two digits. To show that such decimals are rational,
We can rewrite the decimal as a fraction.
0.75 can be expressed as 75/100 or simplified to 3/4.
Since both the numerator and denominator are integers, 0.75 is a rational number.
Now
Repeating decimals are those decimals that have a repeating pattern of digits after the decimal point.
For example, 0.3333... is a repeating decimal because the digit 3 repeats infinitely.
To show that repeating decimals are rational, we can use a similar approach to terminating decimals.
Take 0.3333... as an example.
We can represent this decimal as an infinite series:
0.3333... = 3/10¹ + 3/10² + 3/10³+ ...
This can be simplified using the formula for the sum of an infinite geometric series:
0.3333... = 3/10¹ + 3/10² + 3/10³+ ...
= (3/10)/( 1 - 1/10) (by sum of infinite geometric serires)
= 3/9
Since 3/9 can be simplified to 1/3, we can conclude that 0.3333... is a rational number.
Thus, all terminating and repeating decimals are rational numbers because they can be expressed as a ratio of two integers.
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Select all that apply. Proteins _____. are part of antibodies consist of amino acids contain carbon, hydrogen, oxygen, and nitrogen. are derived from fruits and vegetables
Answer:
parts of antibodiesconsist of amino acids containing carbon, hydrogen, oxygen, and nitrogenStep-by-step explanation:
Antibodies are immune system-related proteins called immunoglobulins.
Proteins are made up of amino acids, which are small organic molecules made up of carbon, hydrogen, nitrogen, and oxygen.
Hope that helps.
Larissa rolls to number cubes each with the numbers one through six. Larissa adds the numbers that appear on the role. Which 2 sums have an equal chance of occurring?
3 and 11
4 and 7
5 and 8
Or
6 and 9
Answer:
5 and 8 i think
Step-by-step explanation:
sorry if you get it wrong
The period of a pendulum is the time the pendulum takes to swing back and forth. The function relates the length L= 0.81t in feet of a pendulum to the time t in seconds that it takes to swing back and forth. A convention center has a pendulum that is 90 feet long. Find the period.
Answer: 111.11 seconds
Step-by-step explanation:
Given: The period of a pendulum is the time the pendulum takes to swing back and forth
The function relates the length [tex]L= 0.81t[/tex] in feet of a pendulum to the time t in seconds that it takes to swing back and forth.
If L= 90 feet then put this in the above function, we get
[tex]90=0.81t\\\\\Rightarrow\ t=\dfrac{90}{0.81}\\\\\Rightarrow\ t=111.1111111\approx111.11\text{ seconds}[/tex]
Hence, the period = 111.11 seconds
does anyone know the answer
Answer:
x = 22
Step-by-step explanation:
90 = (5x - 20)
+20 +20
110 = 5x
/5 /5
22 = x
Hope this helps!
what is the answer to -3z > -4.5 ?
Answer:
z<1.5
Step-by-step explanation:
(4). Simplifying polynomials, help pls:) brainliest involved
Answer:
Explanation:
To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.
First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.
Let's identify some like terms below.
f(x)=−4x+3x2−7+9x−12x2−5x4
Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:
f(x)=5x+3x2−7−12x2−5x4
Let's do the same thing with the x-squared terms:
f(x)=5x+3x2−7−12x2−5x4
f(x)=5x−9x2−7−5x4
Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:
f(x)=−5x4−9x2+5x−7
Step-by-step explanation:
Graph y = -2x - 1. Plot the y-intercept on the graph.
Answer:
so u put the first point at -1 go down 2 to the right 1
The graph of equation y = - 2x - 1 and the y-intercept (0, - 1) is shown in image.
We have to given that,
To plot the equation y = - 2x - 1 and the y-intercept on the graph.
Since, The equation of line in slope intercept form is,
y = mx + c
Where, m is slope and c in y - intercept.
Here, Equation is,
y = - 2x - 1
After comparing,
y - intercept = - 1
So, y - intercept of equation (0, - 1)
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Which expression is modeled by this arrangement of tiles?
16 negative tiles are split into 2 groups of 8 negative tiles.
Answer:
16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2
Step-by-step explanation:
42+__________=68 vhrvwfruybtglh
Answer:
42 + 26 = 68
Step-by-step explanation:
I hope this helped :)
Plz help me quickly I’ll give brain list !!!!!!!plz
Answer:
8 3/4 is your answer
Step-by-step explanation:
If you want to multiply in a simplier form convert into decimals
2.5*3.5= 8.75 = improper fraction form its 8*4+3=35/4= 8 3/4
pls give brainliest i need two more and i level up and hope this helps
Answer:
The answer is 8.75
Step-by-step explanation:
First make 2 1/2 and 3 1/2 to improper fraction.
5/2 * 7/2= 35/4
After you multiplied you make you answer into a mixed number fraction by
dividing the numerator and denominator. 35/4=8.75
Answer:8.75
Hope this helps!!
PLZ HELP DUE SOON
Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shop she spends $3.75 on her favorite drink. Write an equation to represent the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
Answer:
50 = x · 3.75
Step-by-step explanation:
2. The water level of a river was measured each day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Type here to search
O
Step-by-step explanation:
day during a two-week period. The
graph models the linear relationship between the water level of the river in feet
and the number of days the water level was measured.
Water Level of River
The initi
28
Ο Ο Ο
The max
24
20
The wate
16
Water Level (ft)
12
o
The water
CLEAR ALL
4
0
2
4
12
6 8 10
Number of Days
Which statement best describes the y-intercept of the graph?
< PREVIOUS
O 3
Os Oo Or
0.8
HH
Answer:
It is C. The initial water level is 16 ft
Step-by-step explanation:
The Y-intercept goes across 16 lol
Two functions are shown below
f(x)=2x+1 g(x)=−72x−5
What is the approximate value of x when f(x) = g(x)?
A.1.3
B.0.5
C.1.8
D.3.1
8(12+a) I'm Having trouble with this
Answer:
8a+96
Step-by-step explanation:
8(12+a)
= 96+8a
Answer:
8a+96 or a+12
Step-by-step explanation:
Distribute
In a certain country the fines for speeding in a school zone are $160 plus an additional $4 for every mile per hour over the speed limit. A. Write a function to represent the speeding fines
Answer:
T= 160 + 4x
Step-by-step explanation:
Giving the following information:
The $160 fine is a fixed cost. It will remain constant.
The $4 additional fine acts as a variable cost. It varies with the number of miles per hour.
To calculate the total cost (T), we need to use the following formula:
T= 160 + 4x
x= miles per hour exceeding the speed limit.
I need help with this problem
Answer:
X=13
Step-by-step explanation:
So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.
Use the distribution property to expand 7(8x - 2y) - 5
7(8x - 2y) - 5 = 56x - 14y - 5 [multiply the expression in the parentheses by 7 and then subtract 5]
Rhianna has $100 in a savings account that earns 5% interest per year.The interest is not compounded.How much interest will she earn in 1year?Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$5
Step-by-step explanation:
Using the formula given i=prt we can do the following: 100 x 0.05 x 1= $5
Therefore the total interest after one year would be $5
Expand the following:
a)2(x + 3)
Answer:
2x+6Step-by-step explanation:
2(x+3)
=(2)(x+3)
=(2)(x)+(2)(3)
=2x+6
The values in the
the range is called the
Answer:
values in range
Step-by-step explanation:
Another word for finding the opposite of an integer is BLANK An integer
Answer:
The answer is at the bottom!!
Step-by-step explanation:
Another word for finding the opposite of an integer is negative number of an integer.
Decrease, spend, and decline are examples of words that mean negative. An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa.
Hope this helps!!
Plz help me answer this!!!!
Answer:
Dude, it could literally be any number. It doesn't even provide us with a starting number to actually solve the problem with XD
Step-by-step explanation:
which table represents a linear function ?
Answer:
The first one in the left hand corner. And r u from Georgia it look like yu doing iready?
Step-by-step explanation:
Please help me answer this!!!
Answer:
NO NO NO NO NO
Step-by-step explanation:
If cos(x) = Negative one-fourth and tan(x) < 0, what is sin(2x) ? Negative StartFraction StartRoot 15 EndRoot Over 4 EndFraction Negative StartFraction StartRoot 15 EndRoot Over 8 EndFraction StartFraction StartRoot 15 EndRoot Over 8 EndFraction StartFraction StartRoot 15 EndRoot Over 4 EndFraction
The value of sin(2x) is [tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
How to determine the value of sin(2x)The cosine ratio is given as:
[tex]\cos(x) = -\frac 14[/tex]
Calculate sine(x) using the following identity equation
[tex]\sin^2(x) + \cos^2(x) = 1[/tex]
So we have:
[tex]\sin^2(x) + (1/4)^2 = 1[/tex]
[tex]\sin^2(x) + 1/16= 1[/tex]
Subtract 1/16 from both sides
[tex]\sin^2(x) = 15/16[/tex]
Take the square root of both sides
[tex]\sin(x) = \pm \sqrt{15/16[/tex]
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
[tex]\sin(x) = -\sqrt{15/16[/tex]
Simplify
[tex]\sin(x) = \sqrt{15}/4[/tex]
sin(2x) is then calculated as:
[tex]\sin(2x) = 2\sin(x)\cos(x)[/tex]
So, we have:
[tex]\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14[/tex]
This gives
[tex]\sin(2x) = - \frac{\sqrt{15}}{8}[/tex]
Read more about trigonometry at:
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Answer:
B
Step-by-step explanation:
on Edge
A new arcade opened up in town. A play package is available to purchase. It includes 15 tokens for games,plus 5 dollars off. Let x represent the cost per token
Answer:
The total cost of the games (play package)
= 15x - 5
Step-by-step explanation:
Number of tokens in the games = 15
The cost per token = x
Discount off the total cost = $5
Therefore, the cost of the play package = 15x - 5
where x is in dollars
However, ‘x’ can also assume any value.
Check:
If x = $15
The total cost of the game can be said to be 15(10) - 5 = $220
Please help me with this
Step-by-step explanation:
The question implies the two angles are equal because of the positioning of the named vertices. m∠A = m∠E so to say.
You can substitute the values and solve the inequality to find x, then solve for m∠A.
m∠A = m∠E; Given (Inferred)
6x - 8 = 4x + 1; Substitution
6x = 4x + 9; Addition Property of Equality
2x = 9; Subtraction Property of Equality
x = 4.5; Division Property of Equality
m∠A = 6x - 8; Given
m∠A = 6(4.5) - 8; Substitution
m∠A = 19; Solve
Hope this helps!!
48/5 - 6/25 as a fraction
Answer:
9 9/25
Step-by-step explanation:
234/25 = 9 9/25
Answer:
the answer is 9 9/25
Step-by-step explanation:
i need help like asap ! please someone help
Answer:
should be B
Step-by-step explanation:
Hope it helps
Simplify 2 + 3[4 + (7 – 3) – 23]
*0
*2
*10
*8