The relation displayed in the table is
B: {(-3, -2), (-1, 1), (2, -2), (3, 3)}How to find the relation in the tableThe relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table
For instance, say (b, c) is represented in a table as
x y
a b
Using this instance and writing out the values in the table we have
(3, 3), (-1, 1), (2, -2), and (-3, 2)
This is similar to option B making option B the appropriate option
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What is each product or quotient in simplest form?
a. √3 (⁴√3)
Converting the radicals into exponent numbers, √3 (⁴√3) = ⁴√27
To work with radical numbers or roots, it is easier to express them in exponent:
\(\sqrt[n]{a^{b}}=a^{\frac{b}{n}\)
Recall the rules of exponent operations:
Product. \(a^{b}.a^{c}=a^{b+c}\)Quotient. \(a^{b}:a^{c}=a^{b-c}\)Power. \((a^{b})^{c}=a^{b.c}\)Power of a product. \((a.b)^{c}=a^{c}.b^{c}\)Zero power. a⁰ = 1Negative exponent. \(a^{-b}=\frac{1}{a^{b}}\)Note that the first 3 rules use the same base. If there are more than 1 base number, then group the exponent that have the same base first.
Example:
\((2^{3}.3^{-2}) : (2^{-3}.3^{2})=( 2^{3}:2^{-3}).(3^{-2}:.3^{2})\)
Tips: To simplify exponent numbers, sometimes it is useful to modify the base whenever possible.
Example:
8².2⁻⁵ = (2³)². 2⁻⁵ = 2⁶. 2⁻⁵ = 2⁶⁻⁵ = 2¹ = 2
The given problem:
Simplify √3 (⁴√3)
\(\sqrt{3}=3^{1/2}\)
\(\sqrt[4]{3} =3^{1/4}\)
Hence,
\(\sqrt{3}.\sqrt[4]{3} =3^{1/2}.3^{1/4}\\ =3^{1/2+1/4}=3^{3/4}\\ =\sqrt[4]{3^{3}}= \sqrt[4]{27}\)
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The greatest weight a moving truck can carry is 1,600 pounds. The truck is loaded with a
piano that weighs 400 pounds. Boxes that weigh 50 pounds each will also be loaded into the
truck.
Which inequality represents all possible values of x, the number of these boxes that can be
loaded into the moving truck?
Answer:
1600=50x+100(thats the equation) ACTUAL ANSWER: X=30
Step-by-step explanation:
The inequality represents all possible values of x, which will be 1600=50x+100.
What is linear inequality?Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.
The greatest weight a moving truck can carry = is 1,600 pounds
Weight of the piano = 400 pounds
Weight of box = 50 pounds
The inequality represents all possible values of x will be;
1600 = 50x+100
Hence the inequality represents all possible values of x, the number of these boxes that can be loaded into the moving truck will be 1600=50x+100.
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Please help me here in an algebraic maze that I hardly understand, please help me, my time is running out on a math test.
Answer:
??i never did this before
Question 19 of 25
The graph of a certain quadratic function has no x-intercepts. Which of the
following are possible values for the discriminant? Check all that apply
A.0
B.-7
C.18
D.-25
Describe the end behavior of the function -2x^3-13x^2+8x+52
Answer:
Step-by-step explanation:
lim x -> +oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)
+oo(-2 + 0 + 0 + 0)
-oo
lim x -> -oo -2x³ - 13x² + 8x + 52
x³ (-2 -13/x + 8/x² + 52/x³)
-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)
-oo(-2 + 0 + 0 + 0)
+oo
The following two-way table shows the data for the students of two different grades in a school: Member of Science Club Not Member of Science Club Total Grade 7 20 2 22 Grade 8 20 8 28 Total 40 10 50 Based on the relative row frequency, the students of which grade are more likely to be members of the science club? (5 points) Grade 7 Grade 8 The students of both grades are equally likely to be members of the science club No conclusion can be drawn about the chances of a student being a member of the science club
Answer:
Grade 7
Step-by-step explanation:
Select all irrational numbers, o
Answer:
A & D
Step-by-step explanation:
took
If Marla's garden is 5 feet
long and 3 feet wide,
what is the area of her
garden?
Answer:
15
Step-by-step explanation:
the formula for area is l×w=a so when you multiply the length with the width, you get 15.
Answer:
15 feet
Step-by-step explanation:
Since you are finding the AREA, you always have to multiply length by width. So, 5 ft x 3 ft= 15 ft
2r in 3 like terms.
i need helpp!
Answer:
no se lo ablas
Step-by-step explanation:
Answer:
Can you please rephrase that question I'm not understanding.
Step-by-step explanation:
Find the effective rate of interest corresponding to a nominal rate of 3.5% per year compounded annually, semiannually, quarterly and monthly. (Round your answers to two decimal places.) (a) annually (b) semiannually (c) quarterly (d) monthly
The effective rates of interest corresponding to a nominal rate of 3.5% per year compounded annually, semiannually, quarterly, and monthly are (a) Annually: 3.50%, (b) Semiannually: 3.52%, (c) Quarterly: 3.52%, (d) Monthly: 3.53%
To find the effective rate of interest corresponding to a nominal rate compounded at different intervals, we can use the formula:
Effective Rate = (1 + (Nominal Rate / m))^m - 1
where:
Effective Rate is the rate of interest earned or charged over a specific time period.
Nominal Rate is the stated interest rate.
m is the number of compounding periods per year.
(a) Annually:
For compounding annually, the effective rate can be calculated as:
Effective Rate = (1 + (0.035 / 1))^1 - 1 = 0.035 = 3.50%
(b) Semiannually:
For compounding semiannually, the effective rate can be calculated as:
Effective Rate = (1 + (0.035 / 2))^2 - 1 = 0.035175 = 3.52%
(c) Quarterly:
For compounding quarterly, the effective rate can be calculated as:
Effective Rate = (1 + (0.035 / 4))^4 - 1 = 0.035235 = 3.52%
(d) Monthly:
For compounding monthly, the effective rate can be calculated as:
Effective Rate = (1 + (0.035 / 12))^12 - 1 = 0.035310 = 3.53%
Therefore, the effective rates of interest corresponding to a nominal rate of 3.5% per year compounded annually, semiannually, quarterly, and monthly are as follows:
(a) Annually: 3.50%
(b) Semiannually: 3.52%
(c) Quarterly: 3.52%
(d) Monthly: 3.53%
These effective rates reflect the actual interest earned or charged over a specific time period, taking into account the compounding frequency. It is important to note that as the compounding frequency increases, the effective rate will approach the nominal rate.
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PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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i need help pls i dont get it
Answer:
3/5 = 60% = 0.6
In the bottom row, 3/5 is the wrong fraction. 2/3 is the correct fraction.
Please send help!
What is the range of this radical function?
F(x) = x-2+4
A. 2
B. -2
C. 4
D. -4
Answer:
B) -2
Step-by-step explanation:
Hope this helps. Good luck...
Write a linear function f with the given values.
f(0) = 4,f(5)=19
Answer:
f(x) = 19x/5+4
Step-by-step explanation:
f(0) = 4,f(5)=19
[f(x) - 4]/[x-0] = (19-0)/(5-0)
f(x) = 19x/5+4
The outside temperature is -13 degrees. The temperature drops by 9 degrees, but then increases by 16 degrees. What is the final temperature outside? *
Answer:
The final outside temperature = -6°
Step-by-step explanation:
GIven that :
the outside temperature = -13°
The temperature drops by 9°
But then increases by 16°.
The final temperature can be expressed as:
the outside temperature - temperature drop
= -( 13° - 9°)
= - 22°
it is said that the temperature later increase by 16°
∴ - 22° + 16°
= -6°
The final outside temperature = -6°
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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If f(x) is a third degree polynomial function, how many distinct complex roots are possible?
0 or 2
0, 1, 2, or 3
1 or 2
1, 2, or 3
Answer:
0 or 2
Step-by-step explanation:
In third degree polynomial, number of 0 or 2 distinct complex roots possible.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
We have a polynomial with degree 3.
That means,
it is a cubic polynomial.
So, there are 3 roots possible.
As we know, the complex roots come in pairs.
So, the number of roots can not be 1 or 3.
So, there are only 0 or 2 roots possible.
Therefore, there are only 0 or 2 roots possible.
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comparing functions worksheet
Answer:
?
Step-by-step explanation:
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
(HELP PLS !!!!! ) Daniella can carry 32 pounds. Jeffrey can carry 23 pounds. How many ounces can they carry in total?
Answer:
Daniella and Jeffrey can carry a total of 880 ounces.
Step-by-step explanation:
Daniella can carry 32 pounds, which is equivalent to 512 ounces (32 * 16).
Jeffrey can carry 23 pounds, which is equivalent to 368 ounces (23 * 16).
To find the total weight they can carry in ounces, we simply add the individual weights: 512 + 368 = 880.
Therefore, Daniella and Jeffrey can carry a total of 880
A team of explorers going to South Pole expect to travel 1014.15km in total the team expect their average sped for expidition n to be 19.12km for expedition will travel 12hours a day estimate how many days the team will take to complete expidition
It will take them about 26 days to complete the expedition
Proportion and distanceAccording to the information, the team of explorers is to travel 19.12km in 12 hours
19.12 km = 12 hoursIf they are expected to travel 1014.15km in total, the total time taken is given as:
1014.15km = x
Take their proportions:
\(\frac{19.12}{1014.15} = \frac{12}{x} \\ 19.12x = 12,169.8\\ x = 636.495hours\)
Convert the time taken to days;
\(x =\frac{636.495}{24}\\ x \approx 26.5 days\)
This shows that it will take them about 26 days to complete the expidition.
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c. Suppose the team ends up selling 78 cookies at next years's opening game. Find the percent erroe in the number of cookie that you estimated would be sold in your solution to part (b).
percent error = (a - x)/(x) * 100%, where x is the exact value and a in the aproximate value.?
The percent error would be : {c - 78}/{c} x 100
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that the team ends up selling 78 cookies at next year's opening game.
Let the estimated value be {c} cookies. Now, we know -
%error = {a - x}/{x} x 100
%error = {c - 78}/{c} x 100
Therefore, the percent error would be : {c - 78}/{c} x 100.
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Best answer gets brainleist 1 and 2
Answer:
1. True
2. True
Step-by-step explanation:
Hope it helps you in your learning process.
10pts
Cierra had $18 to spend on 6 pencils for school. After
buying the pencils she had $7.50 left. How much did
she spend on each pencil? Write an equation to represent your problem
Answer:
Step-by-step explanation:
$18-$7.50= $10.50
Answer:
f(x)=3x
f(x)=x+2
f(x)=3√3+x2
Step-by-step explanation:
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
what is x-y=-5 in slope intercept form
Answer:
y = x + 5
Step-by-step explanation:
x - y = - 5
-y = -x - 5
-(-y = - x - 5)
y = x + 5
(m-2)-5=8-2(m-4) ?
Answer:
m=\(\frac{23}{3}\) simplest form if you need it as a decimal its m=7.6
Step-by-step explanation:
how is 7/6 the same as 21/18 please how do i show my work
Answer:
Multiply 7/6 by 3/3
Step-by-step explanation:
Multiplying 7/6 by 3/3 will give you a result of 21/18.
Hope this helps!
21/18 has a common denominator of 3, which makes it 7/6
21÷3=7
18÷3=6
Students in mrs smiths class must complete at least 40 math problems for homework every week. the table shows the progress of four students on Wednesday. Which list shows the names of students in order from the greatest amount of homework complete to the least amount of homework completed? A Katie, Jonah, D’Angelo. Grace B D’Angelo, grace, Jonah, Katie C Katie, Jonah, grace, D’Angelo D Jonah, Katie, D’Angelo, grace
Answer: the anwser is B
Step-by-step explanation:
Answer:
Grace, jonah,D'angelo,then Katie.
First,Grace because she finished it 100%
Next,it's Jonah because he finished it 2/3 the way meaning about around 70% of the work.
Then, D'angelo because he completed five more than Katie.
Last,Katie because she was less than jonah.She had 40 but D'angelo had five more than her
Suppose you and some friends go to the movies and buy some snacks. The snack bar charges $2 for a box of candy and $6 for the “combo.” The combo is a medium drink and popcorn. The only spending restriction you have is you must bring home some change from the money you have been given. After buying the tickets, you have $12 left to spend for snacks.