Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers
Finda + b, 2a + 3b, |a|, and |a − b|.a = 5i + j, b = i − 2j
Answer:
Step-by-step explanation:
Given the complex notations a = 5i + j, b = i − 2j, we are to evaluate the following:
1) a + b
= 5i+j + (i-2j)
= 5i+j+i-2j
collect like terms
= 5i+i+j-2j
= 6i-j
Hence a+b = 6i-j
2) 2a+3b
= 2(5i+j) + 3(i-2j)
open the parenthesis
= 10i+2j+3i-6j
collect like terms
= 10i+3i+2j-6j
= 13i-4j
Hence 2a+3b = 13i-4j
3) |a| = √x²+y²
Given a = 5i+j; x = 5, y = 1
|a| = √5²+1²
|a| = √25+1
|a| = √26
4) |a-b|
First we need to calculate a-b
= a - b
= 5i+j - (i-2j)
open the parenthesis
= 5i+j-i+2j
collect like terms
= 5i-i+j+2j
= 4i-3j
|a-b| = √4²+(-3)²
|a-b| = √16+9
|a-b| = √25
|a-b| = 5
is the number 8.25 a rational number or an irrational number
Answer:
Rational
Step-by-step explanation:
An irrational number can't be written as a simple fraction. an irrational number will continue on forever without repeating. a rational number is any number that can be written by dividing two integers so basically any number that can be written as a fraction or decimal.
Answer:
Rational number.
Step-by-step explanation:
An irrational number is any real number that cannot be written as a simple fraction. Like square roots.
Write the equation of the line graphed below.
Answer:
y=2x +3
Step-by-step explanation:
The slope hits the points (-1,2) and (0,2). If you count how many units are right and up, then that's your slope. In this case, the distance between those two points are 1 right and 2 up which is the same thing as 2. The y-intercept is 3 since the slope crosses the y-axis there.
What is the volume of the figure? Enter the answer in the Box. In cubic centimeters
Answer:
264 cm³
Step-by-step explanation:
(5*5*8)+(*8*8*1)
200+64=
264 cm³
The volume of the figure 264 cubic centimeters.
What is rectangular prism?"It is a three-dimensional solid shape which has six faces that are rectangles."
Formula to calculate the volume of rectangular prism:V = l w h, where l is the length, w s the width and h is the height of the rectangular prism.
Given figure consists of two rectangular prisms.
For the smaller rectangular prism,
length(a) = 8 [tex]V_2= 8\times 5\times 5[/tex]cm, width(b) = 8 cm and height(h) = 1 cm
For the larger rectangular prism,
length(p) = 8 cm, width(q) = 5 cm and height(r) = 5 cm
Let [tex]V_1,V_2[/tex] represents the volume of the smaller and larger rectangular prisms respectively.
The volume of the smaller rectangular prism would be,
⇒ [tex]V_1=a\times b\times c[/tex]
⇒ [tex]V_1=8\times 8\times 1[/tex]
⇒ [tex]V_1=64[/tex] cu.cm.
The volume of the larger rectangular prism would be,
⇒ [tex]V_2=p\times q\times r[/tex]
⇒ [tex]V_2=8\times 5\times 5[/tex]
⇒ [tex]V_2 = 200[/tex] cu.cm.
The volume of the figure is:
= [tex]V_1+V_2[/tex]
= 64 + 200
= 264 cubic centimeters
The volume of the figure 264 cubic centimeters.
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What is 4.26 + 1.3 ?
Answer:
5.56
Step-by-step explanation:
Answer:5 29/100
Step-by-step explanation:
The graph shows Demarco's changing distance as he ran during his workout. What does point A tell you about Demarco's speed?
Answer:
Demarco ran 2 miles in 24 minutes
Answer:
Demarco ran 2 miles in 24 minutes.
thats how it is in ttm
HELP PLEASE! ON A TIME LIMIT.
Javi and MeriAnne competed to see who could read the most pages of their novels in a week.
According to the bar graph, how many more pages did the winner of the contest read than the loser? Show your work or explain how you got your answer.
Answer:
5
Step-by-step explanation:
First add the sum of the Javi's total page count from Monday to Friday. You get 125 pages. Next find MeriAnne using the same process. You get 120 pages. Find the difference by subtracting one from the other. 125-120=5 page difference.
Javi wins from MeriAnne by 5 pages
What is data?Data is information that has been translated into a form that is efficient for movement or processing. Relative to today's computers and transmission media, data is information converted into binary digital form. It is acceptable for data to be used as a singular subject or a plural subject.
Total number of pages read by Javi
=10+20+60+20+15
=125
Total number of pages read by MeriAnne
=20+30+40+20+10
=120
So, Javi wins from MeriAnne by= 125-120= 5 pages
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SOMEONE HELP FAST ( it's due today )
Calculate the minimum and maximum possible areas. Round your answers to the nearest whole square unit. A rectangular garden plot measures 12 feet by 28.6 feet. The minimum possible area is about ft. The maximum possible area is about ft?
Answer:
i. Minimum is 343 square feet
ii. Maximum is 360 square feet
Step-by-step explanation:
The dimension of the rectangular garden plot is 12 feet by 28.6 feet.
1. The minimum possible area can be determined by;
area of a rectangle = length x width
= 28.6 x 12
= 343.2
The minimum possible area is about 343 square feet.
2. The maximum value can be determined by;
28.6 ≅ 30.0 (1 sf)
area of a rectangle = length x width
= 30 x 12
= 360
The maximum possible area is about 360 square feet.
:
a.
Which of the following statements best describes the difference between sales tax and property tax?
Sales tax is applied to items as they are purchased while property tax is applied to items
already owned
b. Sales tax is applied repeatedly while property tax is paid only once for as long as you own the
item.
Sales tax can be applied to a new speed boat while property tax cannot.
d. Sales tax is strictly meant for food and consumables while property tax is meant for non-food
items
C
Answer:
Sales tax is applied to item as they are purchased while property tax is applied to items already owned
Step-by-step explanation:
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Property tax is a charge made on real estate that is owned by a person, a business, or another type of legal body. Property tax is most frequently a real estate ad-valorem tax, which is regarded as a regressive tax. It is computed by the local government in the area where the property is situated, and the owner is responsible for paying it.
Sales tax is applied to items as they are purchased while property tax is applied to items already owned. Therefore, option A is the correct answer.
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Which of the following is a rational number? (4 points)
square root 97square root 98, square root 99, square root 100
Answer:
Square root 100
Step-by-step explanation:
A rational number is a number that can be completely expressed by a fraction. In this case, 100 is the only square number so only the square root of 100 will result in a rational number (10) or (10/1). The others are not square numbers so square rooting them will result in a long line of decimal points which cannot be expressed by a fraction.
Hope this helped!
Answer:
The square root of 100 is a rational number.
Step-by-step explanation:
The square root of 100 is 10. A rational number is a number that can be made by dividing two integers (whole numbers). 10 ÷ 1 = 10. None of the other options are integers, so they are out.
Helpppppppppppppppppppppp
Hey there! I think the answer is -6r + 5
Answer:
[tex]-6r + 5[/tex]
Step-by-step explanation:
Combine like terms
[tex] -4r-2r+5 [/tex]
[tex](-4r + -2r) + 5 [/tex]
[tex] -6r + 5 [/tex]
You cannot combine them anymore.
There are 87 first graders in after care.after 39 students are picked up, the teacher put the remaining students into 4 groups for an activity. How many students are in a group?
Answer:
There are 12 students in each group
Step-by-step explanation:
87-39= 48
48/4= 12
Hope this helped. ;)
Answer:
12 students are in a group
Step-by-step explanation:
There are 87 first graders, but 39 students are picked up. So, we have to calculate how many students are left.
87 - 39 = 48
There are 48 students left.
The teacher divided these 48 students intro 4 groups.
48 / 4 = 12
So, there are 12 students in a group.
Hope this helps ^^
RoBoCo Costume Inc plans to launch a major campaign to sell Robby the Robot costumes for Halloween. The price-demand equation for Robby costumes is
x = 160 - p
The demand x is the number of Robby costumes in thousands) that can be sold at a price p dollars.
a. How many costumes can be sold at a price of $140?
b. What price should be charged if the demand is 120,000 Robby costumes?
$
c. If the price increases by $1.00, by how much does the demand decrease?
Answer:
x = 20,000
p = $40
If the price increase by $1, the demand will decrease by 1000
Step-by-step explanation:
Given:
x = 160 - p
x = number of Robby costumes demanded in thousands
p = price in dollars.
a. How many costumes can be sold at a price of $140?
x = 160 - p
x = 160 - 140
= 20
x = 20,000
20 thousand costumes can be sold at a price of $140
b. What price should be charged if the demand is 120,000 Robby costumes?
x is in thousand
p is in dollars
x = 160 - p
x + p = 160
120 + p = 160
p = 160-120
= 40
p = $40
c. If the price increases by $1.00, by how much does the demand decrease?
x = 160 - p
= 160 - 141
= 19
x= 19,000
If the price increase by $1, the demand will decrease by 1000
The product of a nonzero rational and an irrational number is always
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Step-by-step explanation:
Answer:
"The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.
Is the equation true or false? 27 × 15 = (20 × 15) – (7 × 15) _____
Answer:
This equation is false.
Step-by-step explanation:
27x15=405
You're doing the distributive property here so you're supposed to add but they subtract. Since you're doing 20x15 you have to add because 27-20=7.
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The distributive property is the distributed law of multiplication over operations in fundamental algebra, such as adding and subtracting.
The expression is given below.
⇒ 27 × 15
The expression can be written as,
⇒ 27 × 15
⇒ (20 + 7) × 15
⇒ 20 × 15 + 7 × 15
The equation 27 × 15 = (20 × 15) – (7 × 15) is false.
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The Sports Brand Company is making a new shoe that has a wholesale price of $40, and it wishes to advertise a retail price of $89.99. What is the markup percentage? Give answer to nearest whole percent. (hint: change decimal to percent, % will not be typed)
Answer:
Markup Percentage = 125%
Step-by-step explanation:
The wholesale price is $40, the "selling price" is $89.99.
90-40=50 (Profit)
Now that we know the profit , we need to find the percentage.
To find this percentage we can use the formula: (M=Markup percent)
[tex]M=profit/cost*100%[/tex]
In this situation, we can insert PROFIT= 50, Cost=40
M=50/40*100
= 1.25*100
=125%
Solve 16x + 9 = 9y – 2x for y.
y =
HELP PLEASE!!!
The following graph shows farm sector production in billions of dollars from 1994–2003. One line shows the yearly production and the other shows the average over the time span. According to the graph, in which 3 years were the values of farm sector production closest to the average for the 10 years shown?
A): 1994, 1996, 1998
B): 1996, 1998, 2000
C): 1998, 2000, 2002
D): 2000, 2002, 2004
Answer:
C): 1998, 2000, 2002
Explanation:
You can find the answer by looking at which part of the line graph intersects the line where it says 1994-2003 average. As you can see, the years 1998, 2000, and 2002 are meeting up with the average of 1994-2003.
Answer: C) 1998, 2000, 2002 !!
Step-by-step explanation:
1Ꮾx - 8 = 1Ꮞx +14
Solve for X
Answer:
x=11
Step-by-step explanation:
16x - 8 = 14x + 14
16x - 14x - 8 = 14x - 14x + 14
2x - 8 = 14
2x - 8 + 8 = 14 + 8
2x = 22
2x/2 = 22/2
x=11
30 in.
10 in.
10 in.
30 in.
20 in.
Find the area of the arrow above.
square inches
Answer:
1200
Step-by-step explanation:
GEOMETERYY!!!! PLEASE HELP HJ=5p JK=p KH=3
Answer:
P=5.4
Step-by-step explanation
H=5 times
K=3/5=0.6
K=0.6
P=0.6x3x3=1.8x3=5.4
P=5.4
Why does the problem of finding the zeros (i.e. the inputs where a function assumes the value zero) receive such disproportionate attention in algebra?A. Because the problem of finding where a function f assumes the value c, i.e. solving f(x) = c, is equivalent to finding where the function f(x)-c assumes the value zero; and c = O is the only number for which f(x) = c can be solved by factoring f(x). B. It's because usually you want to know where a function crosses the x-axis. Crossing a different axis parallel to that is just not that interesting. C. It's because knowing the zeros allows you to determine the end behavior of the function, and the vertical and horizontal asymptotes. D. Because O is the lowest value (i.e. the minimum) that a function can assume. In many math applications, we need to know the minimum value of a quantity.
Answer:
The answer is C
Step-by-step explanation:
Why does the problem of finding the "zeros" (the inputs where a function assumes the value of zero OR the value inputs for which the function is equal to zero) of a function receive such disproportionate attention in ALGEBRA?
(D) is wrong because zero is not the minimum value that a function can assume. A function could assume or be equal to a negative number or term and negative figures are less than zero.
The answer is (C) because knowing the zeros of a function allows you to determine the end behaviour of the function and the vertical & horizontal asymptotes on a graph/cartesian plane.
Felix signs up for a cell phone that his parents require him to pay for. His bill is $46.80. What impact will his cell phone have on his savings account over the period of a year
Answer:$561.60
Step-by-step explanation: The cost of each month is 46.80 and there is 12 months in a year so 46.80×12=561.60
For his cell phone , Felix will pay a bill of $561.60 in a year .
Felix has a bill of $46.80 per month which is paid by his parents.
We have to find out that what will be the impact on his savings account over the period of a year.
What is the cost of 10 pens , if one pen costs $10 ?
The cost of 10 pens will be 10 × 10 = $ 100.
As per the question ;
Felix is paying a bill of $ 46.80 in a month.
∵ 1 year = 12 months
So,
Felix will pay a bill in a year or 12 months is of ;
= 12 × $ 46.80
= $ 561.60
Thus , for his cell phone , Felix will pay a bill of $561.60 in a year .
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If A={1,5,9}and B={y:y=2x-1;x=1,5,9},find A×B and B×A.
Step-by-step explanation:
you can see the steps above
Find the missing value of 2/5=?/15
Answer:
2/5=6/15
Step-by-step explanation:
2/5
Multiply with 3 both numerator and denominator
=>2x3/5x3
=>6/15
x = 6
Step-by-step explanation:2/5 = x/15
x = 2×15/5
x = 30/5
x = 6
I am thinking of a number... 1. The number is greater than the number of pennies in quarter. 2. The number is less than the
number of pennies in five dimes. 3. The number is an odd number. 4. If you count by 5's you say the number. 5. The sum of the
digits is. 6. What is my number?
Ready? Enter your answer here.
Answer:
35?
Step-by-step explanation:
I am guessing.......
write the values of n such that -15< 3n ≤ 6
Answer:n=2
Step-by-step explanation:
If you multiply 3 by 2 you get 6.
6 is more than -15 But equal to 6 so two works for N in the situation
Note: The sign between the 3N and six means Less than OR equal to
what is the answer 3/4×6/8=
Write a verbal reprsentation that could be translated to the equation 7k + 8 = 100.
Answer:
Eight more than seven times x (or x times seven) is one hundred
Answer: "The product of 7 and k plus 8 yields 100"
Step-by-step explanation: Simply translate the numbers and signs into words. "the product of 7 and k" means multiply 7 times k, which is the same as 7k. "plus 8" means addition. "yield" is the same as equal.
if AM = 14y - 2 and MB = 10y + 6, find AM.
Answer:
220
Step-by-step explanation: