Cube Root
[tex] {p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2[/tex]
Formula
[tex] {p}^{3} - 8 = 0[/tex]
Use the following formula.
[tex] {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]
[tex](p - 2)( {p}^{2} + 2p + 4)[/tex]
The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).
Thus, remove the expression and leave only p-2
[tex]p - 2 = 0 \\ p = 2[/tex]
Substitution
The most obvious number that multiplies itself three times and equal 8 is 2.
Substitute p = 2
[tex] {p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8[/tex]
The equation is true, thus 2 is the answer.
Write an expression of the perimeter of the rectangle.
help asap
can i have help combine liked terms :
r ( r+s ) -2 r ^2 +rs-s( s-3r )
Answer:
-3r^2+5r+4rs-s^2
Step-by-step explanation:
expand the brackets
and collect like terms
What is the perimeter of figure 12? (Show your work).
find the equation of the line. use exact numbers.
Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?
Answer:
$406.40
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.5%/100 = 0.015 per year.
Solving our equation:
A = 320(1 + (0.015 × 18)) = 406.4
A = $406.40
HELP DUE in 20 MIN
m∠10 =
Answer:
Angle 1, 4, 5,7,10,12,13,15 : 133°
Angle 2,3,6,8,9,11,14,16 :47°
Step-by-step explanation:
Answer:
133°Step-by-step explanation:
∠10 = 180° - ∠9∠9 ≅ ∠6 ≅ ∠2 = 47°So
∠10 = 180° - 47° = 133°31 29 33 37 43 38 33 40
What is the mode of these numbers
Answer:
33 is the mode of these numbers.
Step-by-step explanation:
The only number which appears multiple times is 33, so it is the mode.
I hope it helps ❤❤
I need help. Please anyone help :D
Answer:
I say 1. and 2
Step-by-step explanation:
Have a good day :3
what is the GCF of 6n^3, 18n^4, 36n^2
Answer:
6n^2 or 6n squared
Step-by-step explanation:
To find the greatest common factor we have to first find out all the factors for every other number.
Factors - Numbers you can multiply to find that number.
For example, we have 6n^3 what numbers can be multiplied to find that number?
Find the value of x.
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
The discount on a pair of socks is 15%. The socks are on sale for $17. What was the original price of the socks?
Answer:
$19.55
Step-by-step explanation:
17*0.15=2.55
17+2.55=19.55
Answer:
$20
Step-by-step explanation:
The original price is p.
Now, a discount of 15% is = 100%-15% = 85% of the original price.
0.85p = 17
p = 17/0.85
p = 20
$20
evaluate the expression x+4x-3+3x^2-2x when x = 5
Given:
The expression is
[tex]x+4x-3+3x^2-2x[/tex]
To find:
The value of given expression when x=5.
Solution:
We have,
[tex]x+4x-3+3x^2-2x[/tex]
Substituting x=5 in the above expression, we get
[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]
[tex]=5+20-3+3(25)-10[/tex]
[tex]=5+20-3+75-10[/tex]
On further simplification, we get
[tex]=(5+20+75)+(-3-10)[/tex]
[tex]=100+(-13)[/tex]
[tex]=100-13[/tex]
[tex]=87[/tex]
Therefore, values of the given expression at x=5 is 87.
I'll give brainliest to whoever answers first
Answer:
5) 6
6)-70
7)5
8)-295
9)1
10)4
Step-by-step explanation:
5)10-4=6
6)-3(-5)^2+5=-70
7)-3(0)^2+5=5
8)-3(10)^2+10=-295
9)1/5=0.2
0.2(-5)+2=1
10)0.2(10)+2=4
Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]
Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all.
Answer:
1) 8x^2-10x-7
2) 30[tex]x^{9\\}[/tex]- 60[tex]x^{5}[/tex]
3) -10y^6 - 45y^5 + 25y^4
4) 30x^9 - 60x^5
5) 30x^9 - 60x^5
Step-by-step explanation:
1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.
2x*4x = 8[tex]x^{2}[/tex], 2x*-7 = -14x
1(4x-7) = 4x-7.
8x^2-14x+4x-7 = 8x^2-10x-7
2) 10[tex]x^{5}[/tex](3x^4-6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30[tex]x^{9\\}[/tex]-60[tex]x^{5}[/tex]
3) -5y^4(2y^2+9y-5)
-5y^4(2y^2) = -10y^6
-5y^4(9y) = -45y^5
-5y^4(-5) = 25y^4
-10y^6 - 45y^5 + 25y^4
4) 10x^5(3x^4 - 6)
10x^5(3x^4) = 30x^9
10x^5(-6) = -60x^5
30x^9 - 60x^5
5) (3y - 5z)(8y - 3z) =
3y*8y = 24y^2
3y*(-3z) = -9yz
-5z(8y) = -40yz
-5z(-3z) = 15z^2
24y^2 + 15z^2 - 49yz
If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?
Answer:
4, 5 is the point and I don't think there is a remainder
Step-by-step explanation:
The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).
∴ f(3) = 4(3)³ + 5.
f(3) = 4(27) + 5.
f(3) = 108 + 5.
f(3) = 113.
So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
learn more about factors here :
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Carter works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Carter make in a week in which he made $1750 in sales? How much would Carter make in a week if he made xx dollars in sales?
Answer:
$837.5
Step-by-step explanation:
Step one:
given data
He makes a guaranteed salary of $400 per week
Commision on top of his base salary equal to 25% of his total sales for the week
Required
His total salary when he made sales of 25%
Step two
let us solve for 25% of $1750 made
=25/100*$1750
=0.25*$1750
=$437.5
Hence his total payment for the week will be
=$400+$437.5
=$837.5
Also, if the sales is $x his pay would be
let y be his pay
y=0.25x+400
Question 1 (3 points)
In the table shown below, is the relationship linear? Explain your reasoning.
х
y
O
-1
1
-5
2
-9
3
-13
BIO
Question 25 points)
For the graph shown below:
Time left for this
assessment
19:37
Answer:
yes
Step-by-step explanation:
I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.
I hope the graph helps.
Find the error and explain why its wrong
Answer:
The last part.
Step-by-step explanation:
The error is only at the last part. Basically the answer part.
The answer should be —
[tex]13 \sqrt{5} [/tex]
We don't multiply the square roots when adding or subtracting. That'd contradict the rules.
Here, we let the square root of five as x-term.
[tex] \sqrt{5} = x[/tex]
[tex]4 \sqrt{5} + 9 \sqrt{5} = 4x + 9x[/tex]
As we add up, we would get 13x. Thrn we convert x-term back to square root of five.
The answer would be —
[tex]13x \\ x = \sqrt{5} \\ 13 \sqrt{5} [/tex]
Remember that we don't multiply the square roots when adding or subtracting.
An equation is shown 3/5k=225. what is the value for k that makes the equation true?
Answer:
.0024
Step-by-step explanation:
3 = 225 x 5k
3/255 = 5k
5k = 0.117
k=0.0024
If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.
Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
y 1
6
4
2
-4
-2
2
4
-2
-4
V
-6
What are the coordinates of point V?
O A. (3,4)
O B. (3,-4)
Oc. (-3,-4)
OD. (-4,-3)
O E. (-4,3)
PLZ ANSWER TvT Maria's Grocery store buys grapefruit at a cost of 5 for $1. They sell at a price of 5 for $3. How many must they sell to make a $10 profit.?
Answer:
if you want the exact number that will be 3.3 but if you want it rounded it will be 4
What is the value of h(2)? -2 -1 0
3
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?
Answer:
25,000
Step-by-step explanation:
.10(x) = 2,500
X = 2,500/(.10)
X=25,000
The length of the total race track is 25000 meters.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Let, 'x' be the total distance.
Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,
(10/100)×x = 2500.
0.1x = 2500.
x = 25000.
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WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)
Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)
Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).
None go under Same.
Step-by-step explanation:
In case you're confused:
The line labeled f goes with g. The line labeled q goes with r.
(f, g) is red.
(eq1, h) is orange.
(eq2, eq3) is yellow.
(p, eq4) is green.
(q, r) is blue.
All lines are in the attachment below.
I posted one question at parts pls help me answer it!!!!!
Answer:
i'll try my best to help !!
SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU
Answer:
$88
Step-by-step explanation:
first, you find 20% of 57 which = 11.4
then subract it with 57 which looks like 57-11.4 = 45.6
= 45.6
first, you find 20% of 53 which = 10.6
then subract it with 53 which looks like 53-10.6 = 42.7
= 42.4
then you add them both which = 45.6+ 42.4= 88
If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.
Answer:
B(1,0)
Step-by-step explanation:
The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)
Essentially, you just average the x and y values.
So, the average of -3 and b_x is -1.
The average of 4 and b_y is 2.
So x=1 and y=0
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour? I know the answer but I need to know how to do it
Answer: 25 cars
Step-by-step explanation:
This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.
The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.
The line in the middle of the box is the median or Q2.
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 * 25%
= 25 cars
Answer:
25 cars
Step-by-step explanation:
Took the diagnostic