Answer:
5/4 = rational √100 = rational 7.3 =rational 0.00247 = rational √4/9 = irrational √2/24 = irrational 0.01 (with the line) = irrational
Step-by-step explanation:
an irrational number is an infinitely repeating number that can not be written as a fraction, instead it must be written as a decimal. A rational number is a number that can be made by dividing two integers (an integer is a number with no fractional part).
The numbers are,
a. 5/4 = Rational
b. √100 = Rational
c. 7.3 = Rational
d. 0.00247 = Rational
e. √4/9 = Irrational
f. √2/24 = Irrational
g. 0.01 (with the line above the 1) = Irrational
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers are,
5/4, √100 , 7.3 , 0.00247, √4/9 , √2/24 , 0.01 with the line above the 1.
Now,
Check the numbers as;
5/4 = 1.25
So, The number is a Rational number.
√100 = 10
So, The number is a Rational number.
7.3 = 7.3
So, The number is a Rational number.
0.00247 = 247/100000
So, The number is a Rational number.
√4/9 = 2/3 = 0.666.......
So, The number is a Irrational number.
√2/24
So, The number is a Irrational number.
0.01 with the line above the 1
So, The number is a Irrational number.
Thus, The numbers are,
a. 5/4 = Rational
b. √100 = Rational
c. 7.3 = Rational
d. 0.00247 = Rational
e. √4/9 = Rational
f. √2/24 = Irrational
g. 0.01 (with the line above the 1) = Irrational
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Describe the expression using an appropriate term or phrase.
7+(15x+5)
Which is the correct description?
1. product of two terms
2.sum of two terms
3.quotient of two terms
4.difference of two terms
Answer:
2. the sum of 2 terms
Step-by-step explanation:
It is the sum of 2 terms because in this expression you are simply just adding.
someone please help me simplify this!
Answer:
the answer is A because anything with an exponent of 0 is = to 1
HELP ME PLEASEE:( I don’t understand this
Answer:
Rider A 450 Rider B 360
Step-by-step explanation:
Question 14
The product of 3x²y3 and -4r^3 y^4 is ?
Answer:
I think the answer is -12r^3x^2y^7
Sales of a new line of athletic footwear are crucial to the success of a company. The company wishes to estimate the average weekly sales of the new footwear to within $200 with 95% reliability. The initial sales indicate that the standard deviation of the weekly sales figures is approximately $1400. How many weeks of data must be sampled for the company to get the information it desires
Answer:
188 weeks of data must be sampled.
Step-by-step explanation:
From the information given, we can deduce that:
The Margin of error is within = 200
The confidence interval = 95%
The level of significance = 1 - C.I
= 1 - 0.95
= 0.05
The standard deviation = 1400
The number of weeks the data must be sampled can be determined by using the formula for sample size which is:
[tex]n =( \dfrac{Z_{\alpha/2} \times \sigma}{E} )^2[/tex]
[tex]n =( \dfrac{Z_{0.05/2} \times 1400}{200} )^2[/tex]
[tex]n =( \dfrac{1.96 \times 1400}{200} )^2[/tex]
[tex]n =( \dfrac{2744}{200} )^2[/tex]
[tex]n =( 13.72)^2[/tex]
n = 188.24
n ≅ 188
Thus, 188 weeks of data must be sampled.
Help plz:)))I’ll mark u Brainliest
Ok ✅
Answer:
B.
I hope it will be useful.
Step-by-step explanation:
ΔACB is congruent to ΔXZY!!
Hint : Interchange the position or simply drag your perception of seeing the Δ.
pls can somebody help me...
Answer:
Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Step-by-step explanation:
We are given a relation G
G={(4,-1),(0,4),(-2,9),(-2,-9)}
We need to find domain and range of the relation G
Domain: The domain is the set of all first elements of ordered pairs (x-coordinates)
Range: The range is the set of all second elements of ordered pairs (y-coordinates).
So for the given relation G={(4,-1),(0,4),(-2,9),(-2,-9)}
Domain is: (4,0,-2)
Range is: (-1,4,9,-9)
So, Now writing Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Marta’s math textbook weighs Four-fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and one-fifth pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
4 x + four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x + four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x minus four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound
Answer:
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
Step-by-step explanation:
i hope this helps ( I took the test and got it right)
Answer:
B
Step-by-step explanation:
Why does warm water rise to the top of the ocean currents?
Answer:
In the ocean, warmer water expands just like any other matter, and following the principle of density, it rises to the top of the ocean. The cooler water, which is more dense than the warm water, sinks to the bottom and takes up the space left by the rising warm water. The result is a convection current.
Step-by-step explanation:
hope this helps :)
Answer:
because of climat change
Step-by-step explanation:
Mr. Gray received $80 in cash for mowing lawns answer each part to determine what Mr. Gray did with his money.
Part A: mr. Gray put 20% of the $80 into the bank how much money did Mr. Gray put into the bank?
Part B: mr. Gray spent 1/4 of the $80 how much money did Mr. Gray spend?
Part C: mr. Gray kept the remaining amount of money how much money does Mr. Gray keep?
Answer:
Part A: $16
Part B: $20
Part C: $44
Step-by-step explanation:
Witch equation has the solution x=4
Answer:
C
Step-by-step explanation:
Answer:
C choice.
Step-by-step explanation:
We can either solve the equation or substitute x = 4 to find the true equation.
Solve The Equations
1. 4x=20
Our solution would be x = 5 as we move 4 to divide 20.
2. x/2=8
Our solution would be x = 16 as we move 2 to multiply 8.
3. x+8=3x
Our solution would be x = 4 which is the answer. We basically move x to subtract 3x as we get 8 = 2x.
Then we move 2 to divide 8 as we get x = 4.
[tex]x + 8 = 3x \\ 8 = 3x - x \\ 8 = 2x \\ \frac{8}{2} = x \\ x = 4[/tex]
4.
[tex]x = \frac{x + 5}{2} \\ 2x = x + 5 \\ 2x - x = 5 \\ x = 5[/tex]
We simply multiply the whole equation by 2 to get rid of the denominator.
what expression is d squared
A lot is 60 m by 36 m. A house 28 m by 8 m is built on the lot. How much area is left over?
Answer:
1936 m2
Lot = 60 x 36 = 2160m^2
House = 28 x 8 = 224m^2
Area not covered by the house = 2160^2 - 224^2
= 1936m^2
Hope this helps !!
Lets say you run a restaurant. If you have around 60 customers everyday, and each of them pay 50$ per meal how long would it take to repay 300,000$ in debt?
Answer:
100 days
Step-by-step explanation:
If you have 60 customers that pay everday $50, 60 multiplied by $50 is $3,000 a day. You take your debt, 300,000 and divide that with the 3,000. Thus gives the answer 100 days.
Answer:
100 days
Step-by-step explanation:
First, you must take the 60 customers and multiply it by the $50 daily. That equals 3,000 dollars, so the restaurant is earning that much each day. In order to make 300,000 dollars, it would take 100 days. This is because 300,000/3,000 is 100. I hope this helps!:))
Sandra left home with $200 in her wallet. Sandra spent 25% of her money on
shoes and 3/5 of her money on clothes. How much money does she have left?
Your answer
Answer:
$30
Step-by-step explanation:
shoes: 25/100(200)=
1/4(200)=50
she spent $50 on shoes
clothes: 3/5(200)=
she spent $120 on clothes
50+120=170
200-170=30
Francois earns a weekly salary of $475 plus a 5.5% commission on sales at a gift shop. How much would he earn in a week if he sold $700 in goods? Round to the nearest cent.
Answer:
$513.5
Step-by-step explanation:
$475 + ($700 x 5.5 / 100)
$475 + ($3850 / 100)
$475 + $38.5
$513.5
Which of the following is an example of the Distributive Property?
(zc)kt = zc(kt)
2x - 20y = - 20y + 2x
- 2x + 6 = 6 - 2x
2x2(x + 1) = 2x3 + 2x2
Answer:
the last option. 2 x 2 (x + 1) = 2x3+2x2
Solve the equation 64f^2-225.
In a survey of 2,200 people who owned a certain type of car 1,430 said they would buy that type of car again what percent of people surveyed were satisfied with the car
Answer:
its 65 percent
Step-by-step explanation:
Find the coordinates of P so that P partitions the segment AB in the ratio 2/5 if A(-8, -2) and B(6, 19)
Answer:
P=(-4/5,34/5)
Step-by-step explanation:
P=2/5{(-8+6),(-2+19)}
P=2/5{-2,17}
P={-4/5,34/5}
what value of x makes the equation -5x-(-7-4x)= -2(3x-4) true
Let the random variable Q represent the number of students who go to a certain teacher's office hour each day. The standard deviation of Q is 2.2. Which of the following is the best interpretation of the standard deviation? А. On average, the number of students going to an office hour varies from the mean by about 2.2 students. B. For a randomly selected office hour, the number of students who will go is 2.2. C. For a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students. D. For a random selection of office hours, the average number of students expected to go is 2.2. E. For a random selection of office hours, the E average number of students expected to go will vary from the mean by 2.2 students.
Answer: А. On average, the number of students going to an office hour varies from the mean by about 2.2 students
Step-by-step explanation:
The standard deviation is a measure of spread, which gives how values deviate from the average or mean value of a particular distribution. Hence, the standard deviation is usually defined about the average value of a distribution.
Therefore, for a certain random variable representing the number of student who visits office hours, the standard deviation will be defined about the average or mean value of the random variable Q.
Thus, stated as ; number of students going to an office hour varies from the mean by 2.2 on average.
If you fly on a helicopter for 20 minutes at a speed of 240 km/h how far will you go in miles? PLS ANSWER ASAP WILL MARK BRAINLIEST!
Answer:
your answer should be 49.7097
Step-by-step explanation:
which is the equation of a line that has a slope of negative 2/3 and passes through Point -3 and -1
Answer:
y=2/3x+1
Step-by-step explanation:
y=mx+b (-3,-1)
subsitute
-1=2/3(-3)+b
solve
b=1
substitute into the original equation:
y=2/3x+1
What is this? Please answer with an explanation
Which of the following systems of inequalities would produce the region indicated on the graph below?
Answer:
b
Step-by-step explanation:
gio paid $30 to have 6 shirts cleaned at the dry cleaners. What is the constant of proportionality that relates the cost in dollars to clean shirts , y , to the number of shirts, x?
Answer:
The constant of proportionality is 5
Step-by-step explanation:
Given
[tex]y = \$30[/tex] --- Cost
[tex]x = 6[/tex] --- Number of shirts
Required
Determine the constant of proportionality
The relationship between y and x is:
[tex]y =kx[/tex]
Where:
k = constant of proportionality
Substitute [tex]30\ for\ y[/tex] and [tex]6\ for\ x[/tex]
[tex]30 = k * 6[/tex]
[tex]30 = 6k[/tex]
Divide both sides by 6
[tex]\frac{30}{6} = \frac{6k}{6}[/tex]
[tex]\frac{30}{6} = k[/tex]
[tex]5 = k[/tex]
[tex]k = 5[/tex]
The constant of proportionality is 5
What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.
Answer:
y=1/3x
When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.
PLEASE HELP!!! Which postulate (if any) should be used to show the triangles congruent?
Answer:
9. SSS
10. ASA
11. NONE
12. NONE
Step-by-step explanation:
9. The figure shows two triangles with two corresponding sides indicated to be congruent to each other. The third side is shared by both triangles. Therefore, by the SSS Congruence Theorem, both triangles are congruent to each other. Three sides of one triangle is congruent to the corresponding sides of the other.
10. The figure shows that two angles of one ∆ is congruent to two corresponding angles of the other ∆. Also, the triangles share a common side. This side is an included side between the two given angles. Therefore, by ASA Congruence Theorem, both triangles are congruent to each other.
11. This figure shows the two triangles have 3 corresponding equal angles. This is not enough to prove they are congruent.
12. The two triangles has two corresponding congruent sides given. However, we don't have enough information to determine if they are congruent to each other.
Determine how much time
required for an investment
to double in value if the
interest is earned at a rate
of 6.56%, compounded
Quarterly? Pick Best answer
Answer: 11 years
Step-by-step explanation:
You can use the Rule of 72 which is a way to calculate quickly, the time it will take for an investment to double given its interest rate.
It works by:
= 72 / Interest rate
Rate is compounded quarterly so the periodic rate is:
= 6.56%/4
= 1.64%
Time taken to double = 72/1.64
= 43.9 quarters
In years that is:
= 43.9/4
= 11 years
For an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.
What is an investment's future value?The future value of an investment refers to the compounded value of its present cash flows in the future, using a stated interest rate.
The future value can be determined using the future value table or formula.
We can also determine the future value using an online finance calculator, which also enables us to determine the period required to double the present value of the investment at 6.56%.
Data and Calculations:I/Y (Interest per year) = 6.56%
PMT (Periodic Payment) = 0
FV (Future Value) = $15,000
P/Y (# of periods per year) = 4
C/Y (# of times interest compound per year) = 4
Results:
PV = $7,513.52
Total Interest $7,486.48
N (# of periods) = 42.5 (10.625 years x 4)
The period = 10.625 years (42.5/4)
Thus, for an investment to double in value at an interest rate of 6.56% compounded quarterly, the period required is exactly 10.625 years.
Learn more about determining the required period of an investment at brainly.com/question/20392017