Let the domain be
i. The set of all natural numbers
ii. The set of all real numbers
i. The set of all natural numbers
Note that the smallest natural number that satisfies this inequality is 13 and there is no biggest natural number which satisfies the inequality.
Hence, the range is {13, 14, 15, ...}
ii. The set of all real numbers
Clearly, the set of all real numbers that satisfies this inequality is the open interval (12.4, ∞).
Answer:
option B :)
Step-by-step explanation:
Solve and explain how you got the answer :
Seven days ago, the gas tank on rosa’s car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. What is the fuel efficiency, in miles per gallon, of rosa’s car if she drove 490 miles in the past 7 days?
Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.
Answer: Rosa drove 490 miles on 20 - 6 gallons of gasoline, or 14 gallons. Dividing 490 by 14 will give you your answer: 35. Rosa's car can drive 35 miles for every gallon of gasoline.
Step-by-step explanation: I hope this helps!
Ms. Adams claims that the closure properties for polynomials are closed when dividing polynomials. Mr. Aroxa claims that the closure properties for polynomials are not closed when dividing polynomials. Who is correct? Explain your answer.
Answer:
Mr. Aroxa is correct.
Step-by-step explanation:
Since we know that polynomials are closed under addition, subtraction and multiplication as when we will add, subtract or multiply two polynomials we will get a polynomial.
Polynomials are not closed under division because division of two polynomials is not necessarily a polynomial.
We can see it by dividing a binomial by a trinomial. This division will result in a rational expression and it will have negative exponent. Negative exponents are not allowed in polynomials.
Therefore, Mr. Aroxa is correct.
a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of cushed garlic.how much garlic for one tablespoon of olive oil
Answer: The required quantity of garlic used is 0.67 cloves.
Step-by-step explanation: Given that a bread recipe uses 3 tablespoons of olive oil for every 2 cloves of crushed garlic.
We are to find the quantity of garlic that is used for one tablespoon of olive oil.
We will be using the UNITARY method to solve the given problem.
We have
quantity of garlic that is used for 3 tablespoons of olive oil = 2 cloves.
So, the quantity of garlic that is used for 1 tablespoon of olive oil will be
[tex]\dfrac{2}{3}=0.6666....=0.67~\textup{cloves}.[/tex]
Thus, the required quantity of garlic used is 0.67 cloves.
suppose both factors in a multiplication problem are multiples of 10. Explain why the number of zeros in the factors. Include an example.
5th grade work.
Answer:
10 * 10 = 100
20 * 10 = 200
30 * 40 = 1200
Step-by-step explanation:
Step 1: In both the factors, we have zeros. for example, multiplying 20 and 10, we get 200.
Step 2: Since there are two zeros (adding zeros in multiple), therefore, in the result we get 2 zeros
More examples:
10 * 200 = 2000, there are 3 zeros (1 +2 = 3 zeros)
200 * 200 = 40000, there 4 zeros ( 2+2 = 4)
Hope this will help you understand the concept.
When multiplying two multiples of 10, the number of zeros in the product equals the sum of the zeros in the factors. This is due to each zero representing a power of ten. The product in a multiplication of multiples of 10 will have a number of zeros that matches the combined number of zeros in the factors.
When both factors in a multiplication problem are multiples of 10, the result is a number with a zero for each zero in each factor.
This is because each zero represents a power of ten, and when we multiply by 10, we are increasing the power of ten.
For example, if we have two factors, 30 and 40 (which are multiples of 10), the product would be 1200. In this case, 30 has one zero and 40 has one zero, so the product, 1200, has two zeros.
The rule can also be applied to larger multiples of 10.
For instance, if we multiply 200 by 4000, the product would: 200 (two zeros) x 4000 (three zeros) equals 800,000 (five zeros).
The total number of zeros in the product equals the sum of the zeros in the factors.
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The difference of 763 and another number is 0. What is the other number?
the answer is 763 because 763 - 763 = 0
I don't want to sound rude here or anything but common sense would tell you it's 763. If you read and understand the problem it would be easy. Also if you add 763 to 0 you would get itself. Its just asking you to subtract 763 from itself. hope this helps!! :)
Given ED, DB which statements about the figure are true? Check all that apply.
Answer: EB is bisected by DF
A is the midpoint DF
EB is a segment bisector
FA=1/2FC.
Step-by-step explanation:
determine if the number 5.1x10^-8 is written in scientific notation
Yes, the number is written in scientific notation.
Given
Determine if the number 5.1x10^-8 is written in scientific notation
Scientific notation;Scientific notation is defined as mathematical representation used to represent the decimal number which presents between 1 to 10 multiplied by 10 raised to a power equal to some integer.
If the power is more negative number will be smaller.If the power is less negative the number will greater.The standard of the scientific notation is;
[tex]\rm =a\times b^{10}[/tex]
Therefore,
The number written in scientific notation is;
[tex]5.1\times10^{-8}[/tex]
Hence, yes, the number is written in scientific notation.
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Ming was planning a trip to Western Samoa. Before going, she did some research and learned that the exchange rate is 6 Tala for $2. How many Tala would she get if she exchanged $6?
Can you please write a proportion with the answer?
Answer:
18 Tala.
Step-by-step explanation:
1. You have that Ming learned that the exchange rate is 6 Tala for $2. Therefore, if she exchanged $6, she would get:
[tex]\frac{6}{2}=\frac{x}{6}[/tex]
2. Now, you must solve for [tex]x[/tex], which is sthe amount of Tala:
[tex]x=\frac{(6)(6)}{2}\\x=\frac{36}{2}\\x =18[/tex]
3. Therefore, she would get 18 Tala.
what proberty is a=1a and also 3-3×=3(1-×)
The first one,
[tex]a=1\times a[/tex] is the multiplicative identity property.
The identity element of multiplication of real numbers is 1.
This means that if you multiply any real number [tex]a[/tex] by [tex]1[/tex] you get the same real number.
The second one,
[tex]3-3x=3(1-x)[/tex] is the distributive of property of multiplication over subtraction.
Answer:
a = 1a ---> multiplicative identity property of 1
3 - 3x = 3 (1 - x) ---> distributive property of multiplication (over subtraction)
Step-by-step explanation:
a = 1a holds the the multiplicative identity property of 1.
This property of identity states that whenever you multiply any number with 1, the result is same as the original number. It means that 1 has no effect when multiplied with any number.
3 - 3x = 3 (1 - x) holds the distributive property of multiplication (over subtraction)
This distributive property is used to multiply a single term with two or more terms inside the brackets or you can say the equations which are in the form a (b + c).
Its main purpose is to expand the terms by first multiplying each term inside the bracket with the term outside the term and then adding/subtracting the like terms together.
WILL GIVE BRAINLIEST!!!!
Three less than 3 times a number is equal to 23 less than half the number.
(a) Translate the sentence into an equation.
(b) Solve the equation. Show your work.
Let the number be X
According to question
3 less than 3 times a number = 23 less than half the number
3X-3 = 1/2 X -23
3X - 1/2X = -23+3
Taking LCM
(6X-X)/2 =-20
5X = -20×2
5X = -40
X = -40/5
X= -8
If f(1)=2 and f(n)=f(n-1)-5 , then what is f(6)
f(n) = f(n - 1) - 5
f(1) = 2
f(2) = f(2 - 1) - 5 = 2 - 5 = -3
f(3) = f(3 - 1) - 5 = f(2) - 5 = -3 - 5 = -8
f(4) = f(4 - 1) - 5 = f(3) - 5 = -8 - 5 = -13
f(5) = f(5 - 1) - 5 = f(4) - 5 = -13 - 5 = -18
f(6) = f(6 - 1) - 5 = f(5) - 5 = -18 - 5 = -23
WHAT IS THE MIDPOINT OF 0.1 AND 0.2
The 0 is needed as a placeholder between the decimal point and the hundredths' digit. For numbers between 0.1 and 0.2, there is a 1 in the tenths' place: 0.11, 0.12, 0.13, and so on. For numbers between 0.2 and 0.3, there is a 2 in the tenths' place: 0.21, 0.22, 0.23, and so forth.
The midpoint of 0.1 and 0.2 is 0.15.
What is the midpoint?
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.
To find the midpoint we just have to add both the numbers and then divide by 2.
So, midpoint be,
= (0.1+0.2)/2
=0.3/2
=0.15
Thus the midpoint of 0.1 and 0.2 is 0.15.
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Jake had 2.95 mL of a liquid. He added more liquid and now has 3.56 mL.
How many mL of liquid did Jake add?
Enter your answer in decimal form in the box.
Remark
All you need do is subtract the beginning amount from the ending amount
Givens
Ending Amount (E) = 3.56
Beginning Amt (B) = 2.95
Amt Added (A) = ?
Solution
A = E - B Substitute values
A = 3.56 - 2.95 Combine Like terms on the left
A = 0.61 mL Answer
sarah drives 55 mi/h for h hours. which expression shows the number of miles that sarah drove?
The expression that I can make from this data is 55 x h = miles traveled
Answer:
The expression is 55 x h = miles traveled
Step-by-step explanation:
The graph of the equation y = 1 2 x + 2 is displayed. Which equations would intersect the orange line at the y-intercept? Check all that apply.
All of those given equations intersect the equation y = 12x +2. (:
Answer:
A
C
D
is the answer. i just was doing the practice
PLEASE HELP worth 45 points
In a blueprint, each square has a side length of 1/4 inch.
(down below)
a. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom?
It would cost $
to tile the bathroom.
b. Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
It would cost $
to carpet the bedroom and living room.
Question 2
c. Which has a greater unit cost, the tile or the carpet? Explain.
The has a greater unit cost because $5 per square foot for the tile is than $ per square foot for the carpet.
1 blue square on drawing is length 1/4 in but that means 4ft in reality.
so one blue square area correspongs to 4x4 = 16 square feet.
(a) there 6 tiles for the batrhroom = 6x16 sq.ft = 96 sq.ft and the cost will be $480
(b) bedroom + living area = 7x8-8 tiles = 48 tiles = 48 x 16 sq.ft. = 768 sq.ft = 85.33 sq. yards. So the cost will be 85.33*18=$1535.94
(c) unit cost for tile: $5/sq.ft
unit cost for carpet: $1535.94/768sq.ft = $2/sq.ft
The tile has a greater unit cost ($5 per sq.ft) than carpet ($2 per sq.ft)
The exact costs for tiling and carpeting cannot be determined without the dimensions of the rooms. However, converting square inches to square feet or yards allows for cost calculation. Generally, tile has a greater unit cost than carpet when both are compared per square foot.
Explanation:Unfortunately, we cannot provide exact costs for tiling the bathroom or carpeting the bedroom and living room as the dimensions of these rooms are not provided. However, once you have total area in square inches, you can convert it into square feet or square yard by knowing that 1 square foot is 144 square inches and 1 square yard is 1296 square inches. After converting, you can then multiply the areas by the respective unit costs of the ceramic tile and the carpet to get the total costs.
For the unit cost comparison, generally, carpet is sold by square yard and tile is sold by square foot. To make an accurate comparison, we need to convert the price of carpet from per yard to per foot by dividing it by 9 (since 1 square yard = 9 square feet). If, for example, the carpet cost is $18 per square yard, this would equate to $2 per square foot. Comparing this to the tile cost of $5 per square foot, you can see that the tile has a greater unit cost.
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Match each linear equation with its slope and a point on the line. EASY POINTS
use all 2,4,6,8 Once and any operation and brackets to find two equations that equal 24
Answer:
It is given that by using 2,4,6,8 once and any operation and brackets we have to make two equations which is equal to 24.
1. [8×6]÷(4-2)=48÷2=24 [ First multiplied 8 and 6 keeping them in a bigger bracket then divided by (4-2=2) by keeping it in a single smaller bracket.
2. [8×4]- (6+2)=32 -8=24 [Multiply 8 and 4 and then subtract (6+2=8) from it.This is equal to 24.
These are the two equations that i wrote for you , you can find many more by yourself.
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
cats = dogs + 37
dogs = cats - 37
78 - 37 = 41 (dogs)
A cooler holds 15 liters of water. About how many gallons does it hold?
Divide 15 by 3.79 to get your answer.
[tex]\frac{15}{3.79} = 3.9[/tex]
The answer is 3.9 gallons, or you could round to 4.
Answer:
Step-by-step explanation:
The cooler holds 15 liters of water
Give: 1 gallon ≈ 3.79 liters
15 liters of water has how many gallons?
Cross multiplying gives approximately:
(15 × 1) ÷ 3.79 = 3.957783641 gallons = 4 gallons rounded up to nearest gallon.
The cooler holds about 4 gallons.
Dario is finding the percent of change from $52 to $125. Find his mistake and correct it. His mistake: $ 125 - $ 52 over $ 125 = 0.58 or 58%
um i think its 140,38%
Answer:
140.38%
Step-by-step explanation:
(w15/w5)^4 Simplify it.
[tex]Solution, \left(\frac{w^{15}}{w^5}\right)^4=w^{40}[/tex]
[tex]Steps:[/tex]
[tex]\left(\frac{w^{15}}{w^5}\right)^4[/tex]
[tex]\frac{w^{15}}{w^5}=w^{10}, =\left(w^{10}\right)^4[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}, =w^{10\cdot \:4}[/tex]
[tex]\mathrm{Refine}=w^{40}[/tex]
[tex]\mathrm{The\:Correct\:Answer\:is\:w^4^0}[/tex]
[tex]\mathrm{Hope\:This\:Helps!!!}[/tex]
[tex]\mathrm{-Austint1414}[/tex]
Answer:
for this equation, it equals w^40
Step-by-step explanation:
I took the test already :)
Which complex number is a distance of sqrt17 from the origin on the complex plane?
A. 2 + 15i
B. 17 + i
C. 20 - 3i
D. 4 - i
Let z=x+iy be a complex number. The distance from this complex number to the origin is
[tex]\sqrt{(x-0)^2+(y-0)^2}=\sqrt{x^2+y^2}.[/tex]
Consider all options:
A. z=2+15i, then [tex]\sqrt{2^2+15^2}=\sqrt{229}.[/tex]
B. z=17+i, then [tex]\sqrt{17^2+1^2}=\sqrt{290}.[/tex]
C. z=20-3i, then [tex]\sqrt{20^2+(-3)^2}=\sqrt{409}.[/tex]
D. z=4-i, then [tex]\sqrt{4^2+(-1)^2}=\sqrt{17}.[/tex]
Answer: correct choice is D.
the total weight of six pieces of butter and a bag of sugar is 3.8lb.if the weight of the bag of sugar is 1.4lb what is the weight of each piece of butter
answer:
0.4lbs per stick of butter
step-by-step explanation:
objective: find the weight of each stick of butter
total pounds: 3.8 - 1.4 (bag of sugar) = 2.4lbs
2.4lbs is the amount of pounds of butter but we need to find the weight of each stick - to do this we must divide our weight of the butter by the six sticks of butter
2.4 ÷ 6 = 0.4lbs per stick of butter
worth 30 points
what is the answers to questions 34 and 35???plz help me I don't understand
The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
Hi Nicole,
Question 34:
2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.
Gravel - 172 / 1 1/3 = 129
Mulch - 172 / 2 1/4 = 76.44444...
Question 35:
a. 18 beats in 15 seconds.
b. 25 beats in 10 seconds.
Part A:
Find beats per minute:
1 minute = 60 seconds
60 / 15 = 4
18 x 4 = 72
Answer - 72 beats per minute (Resting)
150 beats per minute (Running)
Part B:
72 times per minute resting
Find 25 times in 10 seconds in minutes,
1 minute = 60 seconds
60 / 10 = 6
25 x 6 = 150
So while running the friend has 150 beats per minute.
Find the number of beats in 3 minutes for both:
Resting:
72 x 3 = 216
216 beats in 3 minutes
Running:
150 x 3 = 450
450 beats in 3 minutes
Subtract:
450 - 216 = 234
Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.
Hope This Helps!
what is 5 in into centimeters
5 inches into centimeters is 12.7 because 2.54 cm is in an inch so multiple 2.54 by 5 and get 12.7
Find the coordinate of B if A is the point (-1,4) and the midpoint is m=(5,4).
The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]A(-1,\ 4)\to x_A=-1,\ y_A=4\\M(5,\ 4)\to x_M=5,\ y_M=4[/tex]
Substitute:
[tex]\dfrac{-1+x_B}{2}=5\qquad|\cdot2\\\\-1+x_B=10\qquad|+1\\\\x_B=11\\\\\dfrac{4+y_B}{2}=4\qquad|\cdot2\\\\4+y_B=8\qquad|-4\\\\y_B=4[/tex]
Answer: B(11, 4).Simplify the following expression. 8 – 5(12x + 8)
Hello again!
[tex]8 - 5(12x + 8)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to expand.
[tex]-5(12x+8):-60x-40[/tex]
[tex]8-60x-40[/tex]
Simplify it should be the correct answer.
[tex]8-60x-40:-60x-32[/tex]
[tex]=-60x-32[/tex]
Answer⇒⇒⇒⇒=-60x-32
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Hey there!!
Given equation :
... 8 - 5 ( 12x + 8 )
Using the distributive property :
... 8 - 60x - 40
Combining like terms :
... -32 - 60x ( This is the final answer ).
Hope my answer helps!!
Dale has three dollars more than twice the amount of money that Leo has. Which statement makes this comparison using the correct variable expression? If Leo has d dollars, then dale has 2(3)+Ddollars. If Leo has d dollars, then dale has 2d+3 dollars. If Leo has d dollars, then dale has d+2+3dollars. If Leo has d dollars, then dale has d/2+3 dollars.
The answer would be: If Leo has d dollars, then dale has 2d+3 dollars.
Hope this helps!
Answer:
Option b) If Leo has d dollars, then Dale has 2d + 3 dollars.
Step-by-step explanation:
We are given the following information in the question:
Let Leo has d dollars.
It is given Dale has three dollars more than twice the money Leo has.
Thus, according to the question Dale's money can be expressed with the help of an equation:
[tex]\text{Dale's money} = 3 + 2\times \text{Leo's money}\\\text{Dale's money} = 3 + (2\times d) = 3 + 2d[/tex]
Thus, option b) is the correct representation of Dale's money.
If Leo has $d, the, Dale have $(3 + 2d).
Cheryl can travel 21.6 miles on one gallon of gas. How far can Cheryl travel on 6.2 gallons of gas? Enter your answer in the box.
Please Help Me Now!!!!!!!!
This is a proportion, once you set it up (the hard part) the calculations are easy.
[tex]\frac{21.6mi}{1gal} = \frac{x}{6.2gal}[/tex]
Now, just cross multiply
x = 133.92 mi
Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Cheryl can travel 21.6 miles on one gallon of gas.
Let's suppose Cheryl travel x miles on 6.2 gallon of gas.
x = 6.2×21.6 = 133.92 miles
Thus, Cheryl travel 133.92 miles on 6.2 gallon of gas if Cheryl can travel 21.6 miles on one gallon of gas.
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