Answers
We have the following number, we need to simplify:
[tex]6\cdot\sqrt[]{-2401}[/tex]we can also express this as:
[tex]\begin{gathered} 6\cdot\sqrt[]{(-1)\cdot(2401)} \\ 6\sqrt[]{(-1)\cdot(49)\cdot(49)} \end{gathered}[/tex][tex]\begin{gathered} =6\sqrt[]{-1\cdot49^2} \\ =6\cdot\sqrt[]{-1}\cdot\sqrt[]{49^2} \\ =6\cdot\sqrt[]{-1}\cdot49 \\ =6\cdot49\cdot\sqrt[]{-1} \end{gathered}[/tex]since:
[tex]\sqrt[]{-1}=i[/tex]which represents the imaginary number,
then, we get:
[tex]6\sqrt[]{-2401}=6\cdot49\cdot i=294i[/tex]Related Questions
The ordered pairs below represent a function.
{(−4,2), (−2,1), (0,0), (2,−1)}
What is the RANGE of the function?
Answers
The range of the function is -1 ≤ y ≤ 2
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the range of the function?The ordered pair is given as
{(−4,2), (−2,1), (0,0), (2,−1)}
Rewrite as
(x, y) = {(−4,2), (−2,1), (0,0), (2,−1)}
Remove the y values
So, we have
y = {2, 1, 0,−1}
Express as an inequality
-1 ≤ y ≤ 2
Hence, the range is -1 ≤ y ≤ 2
Read more about range at
https://brainly.com/question/2264373
#SPJ1
MATH 100 points if you do this
Answers
300% increase
Answer:
Increase
200%
Step-by-step explanation:
Since I can't figure out how to input my work in my answer as equations, I will attach my work from a screenshot!
Hope this helps! Have an amazing rest of your day! Please consider awarding me brainliest! ;)
Mellisa buys 2.5 pounds of salmon and 1.25 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon l. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish.
Answers
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Let $x be the cost of 1 pound of salmon.
The swordfish costs $0.20 per pound less than the salmon, then $(x-0.20) is the cost of 1 pound of swordfish.
Melissa buys 2.5 pounds of salmon and pays $2.5x for salmon.
Melissa buys 1.25 pounds of swordfish and pays $1.25(x-0.20) for swordfish.
She pays a total of $31.25, then we get an equation,
2.5x + 1.25(x - 0.20) = 31.25
We solve above equation for x.
2.5x + 1.25x - 0.25 = 31.25
3.75x = 31.50
x = 8.4
So, the cost of 1 pound of salmon is $8.40 and 1 pound of swordfish is $8.20
and combined cost = $8.40 + $8.20
Therefore, the combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Learn more about an equation here:
https://brainly.com/question/649785
#SPJ1
Someone answer this please!
Answers
Answer:
Answer down below!
Step-by-step explanation:
The correct answers are as follows:
2^381 over 1/2^3Answer: 2nd, 3rd, 5th
Step-by-step explanation:
Solve the problem
1/2*1/2*1/2 = 1/1/8
1 * 8/1
8
Check each answer
1) -(1/2)^3
-(1/2*1/2*1/2)
-(1/8)
-1/8
No
2) 2^3
2 * 2 * 2
8
Yes
3) 1/1/2^3
[tex]\frac{1}{\frac{1}{2} *\frac{1}{2} *\frac{1}{2} }\\ \frac{1}{\frac{1}{8} }\\1 * \frac{8}{1} \\8[/tex]
Note: Flip fraction when dividing a fraction.
Yes
4) 1/8
1/8
No
5) 8
8
Yes
Solve 32 ≤ −5z − 32.
Answers
The solution to the given linear equation is equivalent to z≥ -12.8
Solving linear equationLinear equations are equations that has a linear degree of 1. Given the following linear equation below:
32 ≤ −5z − 32
Add 32 to both sides
32 + 32 ≤ −5z − 32 + 32
64 ≤ −5z
Swap
-5z ≥ 64
Divide both sides by -5.
-5z/-5 ≥ 64/-5
z≥ 64/-5
z≥ -12.8
This gives the equivalent linear equation.
Learn more on inequality here: https://brainly.com/question/24372553
#SPJ1
Answer: Its c not d he kinda had it right but no
Step-by-step explanation:
through(−1,−5),slope=9
Answers
Answer:
y = 9x+4
Step-by-step explanation:
Using the slope-intercept formula
y = mx+b where m is the slope and b is the y-intercept
y = 9x+b since we are given the slope is 9
Using the point is (-1,-5)
-5 = 9(-1) +b
-5 =-9 +b
Solving for b
-5+9 =b
4 = b
y = 9x+4
A car has 6 gallons of gasoline remaining in the tank. This is 60% of the total amount of gasoline the tank will hold. How many gallons of gasoline does the car’s tank hold?
Answers
the car's tank hold 10 gallons of gasoline.
Step-by-step explanation:
if 6 is 60% of total amount of gasoline so what is the 100% of the gasoline so when we solve the 100% of the gasoline will be 10.
solve: ? 100%
6 60%
it first we write the thing that we want to find
Which of the following macromolecule provides quick energy to cells?
O lipid
O protein
O carbohydrate
O nucleic acid
Answers
Answer:
c
Step-by-step explanation:
I definitely didn't searched it
4
Royce deposits $1200 into a savings account. After nine year, he made $3472.32.
What is the annual simple interest rate of the loan?
Answers
The interest rate needed to make $3,472.32 from simple interest on a principal of $1,200.00 over 9 years is 21.04% per year.
How to determine simple interest rate?Simple interest is expressed mathematically as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is rate and t is the time period.
Given the data in the question;
Principal P = $1200 Accrued amount A = $3472.3Time period t = 9 yearsInterest rate r = ?Plug the given values into the simple interest formula and solve for r
A = P( 1 + rt )
r = (1/t)(A/P - 1)
r = ( 1/9 )( $3472.3/$1200 - 1)
r = ( 1/9 )( 2.8936 - 1)
r = ( 1/9 )( 1.8936)
r = 0.2104
Convert to percentage
r = 0.2104 × 100%
Rate r = 21.04%
Therefore, the interest rate of the loan is 21.04%.
Learn more about simple interest here: https://brainly.com/question/25845758
#SPJ1
Level C
Mia, Jake, Carol, Barbara, Ford and Jeff are all going to a costume party. Figure
out what costume each person is wearing and when they arrived at the party.
•The person that arrived fourth was wearing a bathing suit.
•Barbara was the last to arrive.
•Jake and Mia arrived and stayed together.
● The first person was dressed as a French maid.
• Superman arrived right before Barbara.
•The potato heads were always together at the party.
•Ford was a surfer dude.
• The French maid was not Carol.
• The vampire arrived after Superman.
Answers
Using logical reasoning, we can conclude that the costumes of 6 friends are:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanWhat is logical reasoning?Deductive (Logical) Reasoning. Using a collection of facts or data to infer further facts is known as logical or deductive reasoning. It entails using premises to support certain conclusions.Any problem can be objectively studied through the use of reasoning skills, which aids in coming to a logical conclusion about how to continue. For instance, let's say you have an issue at work, and you need to solve it. You use the information at hand and your capacity for logical reasoning.So, We know:
Barbara ⇒ Vampire ⇒ Last to arrive ⇒ After SupermanJake and Mia ⇒ Arrived and stayed together ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ 1st person ⇒ Not CarolCarol is left to be ⇒ SupermanSo, the conclusions can be:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanTherefore, using logical reasoning, we can conclude the costumes of 6 friends are:
Barbara ⇒ VampireJake and Mia ⇒ Potato headsFord ⇒ Surfer guyFrench maid ⇒ JeffCarol ⇒ SupermanKnow more about logical reasoning here:
https://brainly.com/question/25175983
#SPJ13
When are reciprocals used to solve an equation?
Answers
It's important to know that reciprocals are the multiplicative inverse of a numbers, for example, the reciprocal of 7 is 1/7.
As you can observe, using reciprocals would help to solve equations when we have to get rid off a factor. For example, if we have the equations 4x = 8, we would use the reciprocal of 4 to isolate the variable x: (4x)/4 = 8/4 then x = 2.
Therefore, reciprocals are used to move factors across the equation to isolate the variable.………………………………………………….
Answers
Answer:
i don't know if this is fully correct but I believe that the answer is both because both elements are used it this piece of art. one the art is in color. two it uses both horizontal and vertical lines.
the jasmine family kept a log of the distance they traveled during a trip, as represented by the graph below
during which interval was their average speed the greatest
Answers
Answer:
I would say its 4, the eighth to tenth hour.
Expand and simplify (x -6)(x + 2)
Answers
Answer: X^2 - 4x -12
1. Distribute :
(x−6)(x+2)
x(x+2)-6(x+2)
2. Distribute:
x(x+20-6(x+2)
X^2 +2x-6(x+2)
3. Distribute:
X^2+2x-6(x+2)
X^2+2x-6x-12
4. Combine like terms:
x^2+2x-6x-12
solution:X^2-4x-12
You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150
Answers
Total cost of bratwursts + Total cost of hamburgers ≤ 150
that is 1.3x + 1.2y ≤ 150
Given,
The total number of guests = 35
Minimum number of bratwursts or hamburgers each one need = 3
The cost of bratwursts = $1.3 each
The cost of hamburgers = $1.2 each
Total budget = $150
We can take number of bratwursts as x and number of hamburgers as y.
Lets check.
Each guest need at least three food items = 35 × 3 = 105
That is, you need more than 105 food items.
So,
x + y ≥ 105
Lets see,
Total cost for bratwursts = 1.3x
Total cost for hamburgers = 1.2y
Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.
That is,
Total cost of bratwursts + Total cost of hamburgers ≤ 150
1.3x + 1.2y ≤ 150
Learn more about cost here:
https://brainly.com/question/11967068
#SPJ1
List the first 5 multiples.
18:
20:
16:
32:
Answers
Answer: 18: 18, 36, 54, 72, 90
20: 20, 40, 60, 80, 100
16: 16, 32, 48, 64, 80
32: 32, 64, 96, 128, 160
Step-by-step explanation:
multiply each number by 1 2 3 4 5 respectivly to get the answer.
Equivalent equation to 2(x +3)=16
Answers
1. Kai teaches music lessons as an independent contractor. Last month, he taught 41
music lessons at $65 each. Determine the amount of Kai's self-employment taxes for
last month, using the tax rate of 15.3%.
Answers
The amount for Kai's self employment taxes for the last month is $407.745 .
In the question ,
it is given that
number of music lessons that Kai taught = 41
per music lesson charge = $65 .
the tax rate for self employment = 15.3%
So, the total amount earned is = (number of classes)*(per class charge)
= 41*65 = $2665
According to the question .
Kai's self employment tax = 15.3% of total amount earned
On substituting the values , we get
Kai's self employment tax = 15.3% of 2665
= 0.153*2665
= 407.745
Therefore , The amount for Kai's self employment taxes for the last month is $407.745 .
Learn more about Percent here
https://brainly.com/question/16197508
#SPJ1
Line g has an equation of y = 1/3x - 1. Parallel to line g is line h, which passes throush the point (10, 2). What is the equation of line h?
Answers
The equation reads: y = 1/3x - 4/3.
Describe Line.The points that make up a line can be extended endlessly in opposite directions. Two points along the same line are referred to as collinear points.
The slopes are the same if two lines are parallel to one another.
Consequently, line h's slope would be equal to line g's 1/3.
All that is left to do is plug the points into the formula to determine the y-intercept.
2 = 1/3(10) + b
2 = 10/3 + b
2 - 10/3 = b
2-10/3 = b
-4/3 = b
Hence, the equation for h is y = 1/3x - 4/3.
To learn more about Line click on the link
https://brainly.com/question/13763238
#SPJ9
Use the product rule to find the derivative of the following. (Hint: Write the quantity as a product.)k(t) = (t² − 2) ²k' (t) =
Answers
Consider the following word problem: Twenty more than four times a number is equal to the difference between 2 and twice the number. Find the number.
Answers
Given:
The objective is to find the number.
Explanation:
Consider the unknown number as x,
First, four times the number can be written as 4x.
Twenty more than 4 time the number will be,
[tex]4x+20\ldots\ldots.\text{ (1)}[/tex]Then, twice the number can be represented as 2x.
And the difference between 2 and twice the number will be,
[tex]2-2x\ldots\ldots..(2)[/tex]Now, equate both the equations (1) and (2).
[tex]\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}[/tex]Hence, the unknown number is -3.
9 = 3/4v solve for v simplify your answer as much as possible
Answers
Answer:
v = 12
Step-by-step explanation:
to solve this equation you must first multiply 4 to both sides
9 * 4 = 3/4v * 4
36 = 3v
now divide 3 to both sides
36 / 3 = 3v / 3
12 = v
flip it
v = 12
that is your answer
2-2 additional practice
Answers
Answer:
0
Step-by-step explanation:
2-2=0
what is the slope of y=4.5
Answers
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
0
m
=
0
b
=
4.5
b
=
4.5
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
0
0
y-intercept:
(
0
,
4.5
)
Answer:
0
Step-by-step explanation:
there is no x so it is 0
0 it is
Megan is in a musical production. She was at practice for 2 3/4 hours yesterday and 3 1/2 hours today. Altogether she spent 1/3 of her practice hours dancing. How many total hours did Megan spend dancing yesterday and today?
Answers
Megan spent 2 1/12 hours dancing both yesterday and today
How to calculate the number of hours Megan spent dancing ?Megan is involved in a musical production
Yesterday, she practiced for 2 3/4 hours
Today she practiced for 3 1/2 hours
The first step is to calculate the total number of hours she spent at the practice
2 3/4 + 3 1/2
= 11/4 + 7/2
The LCM between both fractions is 4
11/4 + 7/2
11 + 14/4
= 25/4
Megan spent 25/4 hours yesterday and today practicing
Out of this 25/4 hours, she spent 1/3 hours dancing
Therefore the hours she spent dancing can be calculated as follows
= 25/4 × 1/3
= 25/12
= 2 1/12
Hence Megan spent 2 1/12 hours dancing yesterday and today
Read more on hours here
https://brainly.com/question/29006784
#SPJ1
NEED ASAP PLEASEEEEEE
Answers
Using the Pythagorean Theorem find the missing length and then round the result to the nearest tenth.
a = 7, b = 4, c =
Answers
Answer:11
Step-by-step explanation: because 7+4=11
please simplify this:(5x^4)^3
Answers
[tex](5x^{4} )^{3} \\=5x^{4*3} \\=5x^{12}[/tex]
I used the law of exponents as indicated below:
[tex](x^{n} )^{m} \\=x^{n*m} \\=x^{nm}[/tex]
Pls help 50 points
You have already traveled 30 miles east and then 30 miles north. To get back to the start, you travel 30 miles west in 1 hour and then 30 miles south in a half hour. What are your average speed and average velocity for the whole rally? Explain your answer.
Will report if answer is not related to question
Answers
Using it's concepts, the average speed and the average velocity are given as follows:
Average speed: 40 miles per hour.Average velocity: 0 miles per hour.Average speedThe average speed is given by the quotient between the total distance traveled and the time taken, that is:
Average speed = total distance/time
In this problem, the total distance is of 60 miles(30 miles west + 30 miles south), in a time of 1.5 hours(1 hour west and 0.5 hours south), hence the average speed is given as follows:
Average speed = 60/1.5 = 40 miles per hour.
Average velocityThe average velocity is given by the quotient between the displacement and the time taken, that is:
Average velocity = displacement/time
The displacement is the difference between the final position and the initial position. Since the person got back to the start, finish = start, hence the displacement is of zero, as is the average velocity.
More can be learned about speed and velocity at https://brainly.com/question/4931057
#SPJ1
Convert the standard form equation into slope-intercept form. 5x - 4y = -20
Answers
Answer: y=5/4x+5 is the equation in slope-intercept form.