Answer: rational
Step-by-step explanation: If a number is terminating number or repeating decimal, then it is rational.
Answer:
Rational
Step-by-step explanation:
If a number has a finite number of digits or could be written in a fraction that consists of numbers with a finite number of digits(-51 and 5 have a finite number of digits), then it is a rational number. Hence, -51/5 is a rational number.
The Springfield zoo is breeding gorillas. They have 3 gorillas which can mate and give birth. After the first year there are 7 gorillas. After the second year there are 11 gorillas. If the gorillas continue to increase at the same rate, how long will it take for the Springfield zoo to have 35 gorillas?
Using a linear function, it will take 8 years for the Springfield zoo to have 35 gorillas.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, the parameters are given as follows:
m = 4, b = 3.
Hence the number of gorillas after x years is given by:
G(x) = 3 + 4x.
It will have 35 gorillas when:
G(x) = 35.
Hence:
3 + 4x = 35.
4x = 32.
x = 32/4
x = 8.
It will take 8 years for the Springfield zoo to have 35 gorillas.
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The Associative
18. M
Property holds true for multiplication
Sti
because (-3 × 4) x (-2) = -3 × [4 x (-2)].
re
Does the Associative Property hold true for division of integers? Explain.
no because division is not associative only multiplication.
You have a coupon for your favorite clothing store for $20 off any purchase of more than $75. The store is
also running a 15%-off sale on its entire inventory. Let x be the original price,
f x( )
be the price with the $20
coupon applied, and
g x( )
be the price with the 15% discount applied.
(a) Write an expression for
f x( ) . (3 points)
(b) Write an expression for
g x( ) . (3 points)
(c) Write the expression
(f g x )( )
and explain what it represents? (3 points)
(d) Write the expression
(g f x )( )
and explain what it represents? (3 points)
(e) If the store allows you to apply both the 15% discount and the $20-off coupon, does it matter which
you apply first? How do you know? (3 points
The expressions of all the functions are;
1) f(x) = 0.75x
2)g(x) = 0.8x
3) (f o g)(x) = 0.6x
4) (g o f)(x) = 0.6x
How to create Algebraic Equations?
We are told that f(x) is the price with the $20 coupon applied, and
g(x) is the price with the 15% discount applied. Thus;
1) An expression for f(x) is;
f(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x
2) An expression for g(x) is;
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
3) An expression for (f o g)(x) is;
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
4) An expression for (g o f)(x) is;
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
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9 less than 2 times a number is equal to 21.
9 - 2 - n = 21
9-2n = 21
2n - 9 = 21
9n - 2 = 21
Answer:67
Step-by-step explanation:
Answer:
2n - 9 = 21
Step-by-step explanation:
I believe you do subtract 9 from 2 times x-
Hope this helps xx I'm so sorry if this is wrong °.°·(((p(≧□≦)q)))·°.°
Jerry and Katy ask students how far they live from school. The graphs show the data each person has collected. Distance from School - Jerry's Study 0 1 2 3 4 5 6 7 8 9 10 11 Number of miles Number of students Distance from School - Katy's Study 210987OSTMNTO 3 0-2 3-5 6-8 9-11 Number of miles
Answer:
1. 13 As there are 13 points indicating there are 13 students 2. 39.
Step-by-step explanation:
What is the vertex of the quadratic function below?
y=x² +12%-7
O A. (-6,-43)
OB. (-6,-29)
O C. (6,3)
OD. (6,29)
Answer:
A
Step-by-step explanation:
assuming you meant y = x² + 12x - 7 , then
given a quadratic in standard form
y = ax² + bx + c (a ≠ 0 )
the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 12x - 7 ← is in standard form
with a = 1 , b = 12 , then x- coordinate of vertex is
x = - [tex]\frac{12}{2}[/tex] = - 6
substitute x = - 6 into the equation for corresponding y- coordinate
y = (- 6)² + 12(- 6) - 7
= 36 - 72 - 7
= - 43
vertex = (- 6, - 43 )
gloria has a lunch account in the school cafeteria. the balance, f(x), in her account can be represented by the function f(x)
The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
What is a linear equation?Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Now,
Given: The expenses of Gloria at her school cafeteria is given by the linear equation: 40 - 1.5x, where x = number of meals purchased.
To find: The relation when 1.50 changes to 2.75.
Finding:
AS given in the question, 40 - 1.50(x) represents the money spent by Gloria in her school cafeteria, where:40 represents the total money she has.1.50 represents the money spent on each meal by her.x represents the number of meals.If 1.50 changes to 2.75, it means that the cost of her meal increased from 1.50 to 2.75, by 1.25 dollars. Further, it means that her expenses have increased now and that her total money will now be spent earlier than what would have been spent if she spent 1.50 dollars on each meal.The new relation will be given by the linear equation: 40 - 2.75x.Hence, The given function is an equation describing the expenses of Gloria at her school cafeteria: She has 40 dollars in total and spends 2.75 dollars for each meal; 40 - 2.75x is the new function of linear equation.
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(COMPLETE QUESTION:
Gloria has a lunch account in the school cafeteria. The balance, f(x), in her account can be represented by the function f(x) = –1.50x + 40, where x is the number of meals purchased. Suppose –1.50 changed to –2.75. What does this mean in the context of the problem?)
the desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h, measured in hours from 5am, using the form h
The desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h is - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
y = A cos[B(x-C)] + D, where
A = amplitude,
period = 2π / |B|
C = Phase shift
D = vertical shift
Amplitude = (Max value - Min value) / 2
Amplitude = 80 - 40 / 2
Amplitude = 20
24 = 2π / |B|
B = π / 12
vertical shift = Max value + Min value / 2
D = 80 + 40 / 2
D = 60
Since the temp. is min. at t = 0, we will use negative cosine.
H(t) = -20 cos(π t/ 12) + 60
∴ Our required equation will be - [tex]H(t) = -20 cos \frac{pi}{12} t + 60[/tex]
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Geela has 20 litres of yoghurt that she wants to put into pots containing 1-litres each.
How pots can she fill ?
We get that the number of pots that can be filled are 20 pots.
We are given that:
The total amount of yoghurt with Geela = 20 liters.
The amount of yoghurt in 1 pot = 1 liter
Now, we need to find the number of pots that can be filled.
So, we will do this by using division.
We get that:
Number of pots that can be filled. = 20 / 1
Number of pots that can be filled. = 20 pots
Therefore, we get that the number of pots that can be filled are 20 pots.
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Ray MO bisects angle LMN and measure of angle LMO =2x+1 and measure of angle OMN =x+9 find x
Answer:92.
Step-by-step explanation:
BRO PLEASE PLEASE PLEASE HELP ME THIS NEEDS TOBE SUBMITTED IN 2 MORE HOURS! :((
Answer:
4096/729
Step-by-step explanation:
To raise a fraction to a power raise numerator and denominator to that power.
(16/9) ^3
4096/729
Answer:
a) 4096/729
Step-by-step explanation:
Given problem,
→ ((-4/3)²)³
Let's solve the given problem,
→ ((-4/3)²)³
→ (-4²/3²)³
→ (16/9)³
→ 16³/9³
→ 4096/729
Hence, answer is 4096/729.
What is the equation of the line that passes through the point (4, 6) and has an
undefined slope?
what’s the equation
Answer:
x = 4
Step-by-step explanation:
You want the equation of the vertical line through (4, 6).
Undefined slopeSlope is the ratio of rise to run for a line. When the "run" is zero, that ratio becomes undefined. The "run" will be zero for any rise when the line is vertical.
EquationThe equation of such a line has the form ...
x = c . . . . . for some constant c
In order for this equation to be satisfied when (x, y) = (4, 6), the value of the constant must match the x-coordinate of the point.
The equation is x = 4.
Explain Linear Equations in One Variable.
A linear equation in one variable is the equation that has one one term
How to explain a linear equation?You should understand that an equation is linear if there highest power of the equation is one (1)
The linear equation can have one or two terms. But in this regard, it the equation contains only a term or variable say x,y,m, p, q, a, b etc, the equation is said to be in one variable.
Taking the following sets of equations
x+4 = 5
2y-8=0
x+4=3-8x
These equations are linear and they contain only one variable.
Therefore, a linear equation is the equation containing one variable whose highest power of the variable is one.
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Find the measure of the indicated angle.
Answer:
Angle FDG is 42°
Step-by-step explanation:
the whole angle GDE is an obtuse angle (greater than 90° but less than 180°), but a line is drawn at the middle to split it into 2.Each will be an acute angle.This means our answer must be acute.Mathematically ,
x+86=128
X=128-86
X=42°
to be sure,when an obtuse angle is split into two angles,it becomes 2 acute angles.
The redwood tree in ronin's yard grows at a rate of 6 feet in 1 year. the redwood tree in camren's yard grows 3 feet in 1/3 year.
Answer:
thsnk
Step-by-step explanation:
HELP ASAP I DON'T UNDERSTAND
Answer:
A
Step-by-step explanation:
x² + 7x + 12 = 0
consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
the factors are + 3 and + 4 , since
3 × 4 = + 12 and 3 + 4 = + 7 , then
(x + 3)(x + 4) = 0
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Which equation can be rewritten as x + 4 = x2? Assume x>0.
√x+2= x
√x+2= x
√x+4 = x
√x²+16=x X
Answer:
[tex]{ \tt{x + 4 = {x}^{2} }} \\ { \tt{ \sqrt{(x + 4)} } = \sqrt{ {x}^{2} } } \\ { \tt{ \sqrt{(x + 4) } = x}}[/tex]
2x^2+1=9
find x please!!! will give brainliest
Answer: x = -2, 2
Step-by-step explanation:
2x^2 + 1 = 9
-1. -1
2x^2 = 8
2x^2/2 = 8/2
x^2 = 4
[tex]\sqrt{x^2} = \sqrt{4}[/tex]
x = -2, 2
Solve for x.
3(x + 5) = 30
Answer:
x=5
Step-by-step explanation:
3(5+5) = 30
3(10) = 30
<3
which surveys illustrate an example of qualitative data? check all that apply.the time, in minutes, it took students to finish their examsthe eye color of students involved in after-school activitiesthe characteristics of different types of birdsthe scores on the last examthe weights of different books
Qualitative data include the eye color of students involved in after-school activities and the characteristics of various types of birds.
What do we mean by Qualitative data?Qualitative data are those that cannot be expressed numerically and cannot be measured.So,
The time it took students to finish their exams in minutes can be measured numerically, so it is quantitative data.Because the eye color of students involved in after-school activities cannot be measured, the data is qualitative.The characteristics of various types of birds cannot be measured numerically - thus, it is qualitative data.The last exam score can be measured and expressed numerically, so it is quantitative data.The weights of various books can also be measured, resulting in quantitative data.Therefore, qualitative data include the eye color of students participating in after-school activities as well as the characteristics of various bird species.
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Simplify (2.8 × 10−9) − (6.9 × 10−8). Write the final answer in scientific notation.
Answer:
-42 In Scientific notation would be 4.2 × 101
Answer: I'm pretty sure the answer is −6.62 × 10^−8 and if you're taking the quiz on flvs then it should be B.
gl on ur quiz!
jarlenski m, tarr ja, holland cl, et al. pregnant women's access to information about perinatal marijuana use: a qualitative study. womens health issues. 2016;26(4):452-9.
26 pregnant women who were getting prenatal care and had either acknowledged marijuana usage or had urine samples test positive for marijuana underwent semi-structured interviews. During interviews, it was determined where women got their information on the dangers of prenatal marijuana use and how valuable they thought it was. Two coders independently coded the interview data, iteratively improved the codes, and looked over the transcripts for themes.
The most frequently used illegal substance during pregnancy is marijuana. Little is known about how pregnant marijuana users learn about and comprehend perinatal marijuana use. To further understand their information-seeking behaviors and opinions of the value of material accessible about perinatal marijuana use, we performed a qualitative study among pregnant marijuana users.
What are some common women's health issues?
Heart Disease. One in every four deaths among women in the US is due to heart disease.
ovarian cancer.
Cervical and ovarian cancer.
Reproductive health.
Pregnancy problems
Autoimmune Conditions.
Both anxiety and depression.
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Graph f(x) = -3 |X+2| +4 List the following characteristics from your graph:
a. Vertex
b. Axis of symmetry
c. Is there a minimum or maximum value? What is the value?
d. End behavior
Answer:
Axis of symmetry is the green dotted line
5. The length of a rectangle is 4 feet more than the width. The perimeter * 1 point
of the rectangle is 24 feet. Find the length.
Answer: 8 feet
Step-by-step explanation:
Let,
Width= x
Length= x + 4
Perimeter= 24 ft
Now,
2{x+(x+4)}= 24
⇒ x = 4
Width= 4 feet
Length= 8 feet
find the 10th term of the geometric sequence 3, 15, 75…
Answer: 5859375
Step-by-step explanation:
3, 15, 75...
75/15=5
15/3=5
Every term multiplied by 5 is the next term. Hence, the equation for this sequence can be expressed as:
y=3*[tex]5^{x-1}[/tex] ==> y is the term when x is the term number and 3 is the first number in the sequence
Now let's solve for the 10th term:
y=3*[tex]5^{10-1}[/tex]
y=3*[tex]5^{9}[/tex]
y=3*1953125
y=5859375
Which of the following variables can be classified as categorical?
A. Height
B. Weight
C. Gender
D. Age
Believe "A" would be correct.
Answer:
Step-by-step explanation:
I believe that it would be C. Gender
this is because someones Height, weight, and age doesn't really matter when you are signing up for something, or applying for a job. But back in the old days, you gender was crucial to what priveleges you were allowed.
This is just my opinion, feel free to call me out if I'm wrong!
Hope this helps!^^
Write a two-column proof.
Given : √ABCD, AE/CF
Prove: Quadrilateral EBFD is a parallelogram.
Answer: i need points (dont delete ily<3) (respect my grind)
Step-by-step explanation:
find the 97th term of the arithmetic sequence -16, 2, 20
Answer:
1080
Step-by-step explanation:
Answer:
97th term of arthmetic progression is
-16+ 96* 18
Step-by-step explanation:
16 houses on 2 blocks = houses per block
Answer:8/block
Step-by-step explanation:16/2=18 hope this helps
Answer:
8
Step-by-step explanation:
16 houses divided by 2 blocks
16/2=8
8x2=16
i'm having trouble figuring out this like entire problem :(
Using similar triangles, it is found that the measure of angle B is of 74º.
What are similar triangles?Similar triangles are triangles that have the same angle measures, and whose side lengths are proportional.
In this problem, the triangle ABC was translated, resulting in triangle A'B'C'. A translation does not change the measures of the angles, hence their angles are given as follows:
80º, 26º and B.
The sum of the internal angles of a triangle is of 180º, hence:
80 + 26 + B = 180
B = 74º.
The measure of angle B is of 74º.
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