Answer:
[tex]{ \tt{area = 4(length)}} \\ = 4 \times 6 \\ = 24 \: {ft}^{2} [/tex]
According to the rational root theorem, which is a factor of the polynomial f(x)=3x^3-5x^2-12x+20?
Answer:
(x-2), (x+2), (3x-5)
Step-by-step explanation:
Factors of 3: ±1, ±3
Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20
Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)
Pick a number to divide the polynomial by (I picked 2)
(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10
So (x-2) is a factor of f(x) = 3x³-5x²-12x+20
Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20
What is the maximum amount of a loan you can get if you pay $700 each month at a yearly rate of 0.89% for 10 years?
Answer:
$785.17
Step-by-step explanation:
Given data
PV is the loan amount
PMT is the monthly payment
i is the interest rate per month in decimal form (interest rate percentage divided by 12)
n is the number of months (term of the loan in months)
PMT =$700
n = 10 years
i = 0.89%
The formula for the loan amount is
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probability that there will be a large screen TV in:
Answer: You left out half the question so
Step-by-step explanation:
if you're looking for chance of x houses having a tv, then .6^x is your formula,
if you're looking for chance of x houses not having a tv, then .4^x will find it
Both formulas only apply if you're looking at specific homes, since your question is incomplete I can only guess at what your answer should be.
URGENT!!!!!!! HELP PLEASE!!!!!!
Answer:
[tex]x^\frac{2}{3}[/tex]
Step-by-step explanation:
Using the power of power rule (multiply the exponents)
[tex]x^\frac{4}{3}[/tex] × [tex]^\frac{1}{3}[/tex] [tex]x^\frac{2}{3}[/tex] × [tex]^\frac{1}{3}[/tex]
[tex]x^\frac{4}{9}[/tex] [tex]x^\frac{2}{9}[/tex]
When exponents are multiplied, add the answers:
x ^ ( 4/9 + 2/9 )
x ^ ( 6/9 )
x ^ ( 2/3 )
I need help ASAP with question anyone?
Answer:
Option D
Answered by GAUTHMATH
Answer:
D.
Step-by-step explanation:
The asymptotes are at x = 1 and x = -4.
The denominator of option D is not defined for x = 1 and x = -4 since those two values cause a zero in the denominator.
Answer: D.
graph f(x)= - square root -x
Answer:
1333
Step-by-step explanation:
solve the following equations;-
x - 9 /√x + 3 =1
Answer:
13 , 6.
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation to us is ,
[tex]\sf\implies \dfrac{ x -9}{\sqrt{x+3}}= 1 [/tex]
Cross multiply ,
[tex]\sf\implies x - 9 =\sqrt{ x +3} [/tex]
Squaring both sides ,
[tex]\sf\implies (x - 9)^2 = x + 3 [/tex]
Simplify the whole square ,
[tex]\sf\implies x^2+9^2-2.9.x = x +3 \\ [/tex]
[tex]\sf\implies x^2+81 - 18x = x -3[/tex]
Add 3 and subtract x on both sides ,
[tex]\sf\implies x^2 -18x-x +81-3=0[/tex]
Simplify ,
[tex]\sf\implies x^2 -19x +78=0 [/tex]
Split the middle term of the quadratic equation,
[tex]\sf\implies x^2-13x-6x+78=0 [/tex]
Take out common ,
[tex]\sf\implies x( x -13)-6(x-13)=0[/tex]
Take out ( x -13 ) as common ,
[tex]\sf\implies ( x -13)(x-6)=0 [/tex]
Equate both factors to 0 ,
[tex]\sf\implies \boxed{\pink{\sf x = 13,6}}[/tex]
Hence the value of x is 13 or 6 .
A car has 2gallons of gas. The car gets 30miles/gallon. Enter the conversion factor
The car will run 60 miles on 2 gallons of gas.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A car has 2 gallons of gas. The car gets 30 miles/gallon.
The run of the car will be calculated as,
1 gallon = 30 miles
2 gallons = 30 x 2 miles
2 gallons = 60 miles
Therefore, the car will run 60 miles on 2 gallons of gas.
To know more about an expression follow
https://brainly.com/question/13363911
#SPJ2
If 3 litres of paint is mixed five parts water to one part concentrate, how much concentrate was used?
Answer:
1/2 Liter was concentrate. 2 1/2 L was water.
Step-by-step explanation:
Let the amount of concentrate = x
5x + x = 3 Combine the left
6x = 3 Divide by 6
x = 3/6
x = 1/2
Give brainiest if right!
Marina spent $13.50 at the grocery store. She bought pears,
kiwis, and pineapples. Pears cost $0.50 each, pineapples cost
$1.50 each, and kiwis are $0.30 each. How many of each kind of
fruit did she buy if she bought 9 more pears than pineapples and
2 fewer kiwis than pears?
Answer:
Step-by-step explanation:
First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is
pi + pe + k = 13.5
Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so
pe = pi + 9
And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was
kiwis = (pi + 9) - 2 which simplifies down to pi + 7.
Now we'll put all of those into the equation:
pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:
1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:
1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:
2.3pi = 6.9 so
pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:
pe = pi + 9 so
pears = 12. Now we go back to the expression for kiwis:
k = pi + 7 so
kiwis = 10. And there you go!
If the odds a horse will win the Kentucky Derby is 3:2, what is the probability the
horse will win?
Answer:
=3/(3+2) × 100
=60
Step-by-step explanation:
=3/(3+2) × 100
=60
a carpet is laid on a rectangular floor which measures 4meters by 5meters. if the carpet covers 60% of the floor find the area of the carpet
Answer:
12 m²
Step-by-step explanation:
Area of the floor:
area = length * width
area = 4 m * 5 m
area = 20 m²
area of carpet = 60% of area of the floor
area of carpet = 0.6 * 20 m²
area of carpet = 12 m²
HELPPP PLEASE. So I have figured out the first one however I cannot seem to figure out the rest as my answers are wrong. How do solve this problem? Please help!
Answer:
it seems as it is adding .15 every time so the next 3 would be .05 .20 and .65
Help!!! Will mark brainiest! Wrong answers will be reported, thx!
Answer:
(-1, -9/2) minimum true
1/2 (x+1)^2 -9/2 is the vertex form false
the axis of symmetry is at the x value of the vertex x=-1 false
The parabola opens up since the x^2 coefficient is positive false
x=-4 x=2 true
Step-by-step explanation:
f(x) = 1/2x^2 +x - 4
Factor out 1/2
f(x) = 1/2 (x^2 +2x - 8)
Factor
f(x) = 1/2 ( x+4)(x-2)
Finding the zeros
0= 1/2 ( x+4)(x-2)
Using the zero product property
x+4 = 0 x-2=0
x=-4 x=2
The vertex is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
f(-1) = 1/2 (-1+4) (-1-2) = 1/2(3)(-3) =-9/2
The vertex is (-1, -9/2)
The parabola opens up since the x^2 coefficient is positive so this is the minimum
f(x) = 1/2 (x+1)^2 -9/2 is the vertex form
the axis of symmetry is at the x value of the vertex x=-1
What is the product?
(x^4)3x^3-2)(4x^2 +5x)?
Answer:
[tex]{ \tt{( {x}^{4})(3 {x}^{3} - 2)(4 {x}^{2} + 5x) }} \\ = { \tt{( {x}^{4})( {12x}^{6} + 15 {x}^{4} - 8 {x}^{2} - 10x) }} \\ = { \tt{( {12x}^{24} + {15x}^{16} - {8x}^{8} - {10x}^{5} ) }}[/tex]
Answer:
[tex]\left(x^4\right)\left(3x^3-2\right)\left(4x^2+5x\right)[/tex]
[tex](3x^{3} -2)(4x^{2} +5x)[/tex]
[tex]12x^5+15x^4-8x^2-10x[/tex]
[tex]\left(x^4\right)\left(12x^5+15x^4-8x^2-10x\right)[/tex]
[tex]=12x^9+15x^8-8x^6-10x^5[/tex]
Therefore, A is your answer
~~OAmalOHopeO
Which expressions are equivalent to -6n+(-12)+4n
Choose all answers that apply:
A. 4(n-3) -6n
B. 2(2n-6)
C. None of the above
Answer:
i THINK its A. 4(n-3) -6n
Step-by-step explanation:
Have a wonderful day!!
Find the value of t for at distribution with 40 degrees of freedom such that the area between-1 and equals 99 %. Round your answer to three decimal places, if nescarry
Answer:
The value is [tex]t = 2.705[/tex].
Step-by-step explanation:
In this question, we have to find the critical value for the t-distribution, with 40 degrees of freedom, and a 99% confidence level.
99% confidence level:
We have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a two-tailed value of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.705.
The value is [tex]t = 2.705[/tex].
Can you please help me
Answer:
you will type your answers and send
Answer:
Step-by-step explanation:
⅔-2/5 = 4/15
Every decimeter on a map represents 11.5 kilometers of actual distance. On this map,
specific points M and N are exactly 235 decimeters apart. Therefore, points M and N are
actually how many kilometers apart? Write your answer as a mixed fraction.
Given:
Scale factor of map is:
1 decimeter = 11.5 kilometers
The distance between M and N on the map is 235 decimeters.
To find:
The Actual distance between M and N.
Solution:
Scale factor of map is:
1 decimeter = 11.5 kilometers
Using this scale factor, we get
235 decimeter = 235 × 11.5 kilometers
235 decimeter = 2702.5 kilometers
235 decimeter = [tex]2702\dfrac{1}{2}[/tex] kilometers
Therefore, the points M and N are [tex]2702\dfrac{1}{2}[/tex] kilometers apart.
1728/6 Use the space below to enter the letters corresponding to the Limit Laws that you used to find this limit: Limit Laws A. Quotient Law B. Power Law C. Sum Law D. Product Law E. Constant Multiple Law F. Root Law G. Difference Law Answer:
Answer:
B. Power Law
C. Sum Law
G. Difference Law
Step-by-step explanation:
Power law determines functional relationship between two quantities. When there is change in one quantity, this will result in proportional relative change in another quantity. Sum law of limit determines the limit of sum of two functions. Difference law of limits is a constant times a function is equal to the limit of that function.
In slope-intercept form, what is the equation of a line perpendicular to y = 2x+ 7 that passes through the point (5,8)?
1
y=0.5x - 10.5
O 2
y = -0.5x + 10.5
3
y = 2x + 10.5
4
y = -2x - 10.5
Answer:
2
y = -0.5x + 10.5
Step-by-step explanation:
put a negative sign and 1 on top of the number next to the x to get the line thats perpendicular
2
y = -0.5x + 10.5
In a gambling game a person draws a single card from an ordinary 52-card playing deck. A person is paid $17 for drawing a jack or a queen and $5 for drawing a king or an ace. A person who draws any other card pays $2. If a person plays this game, what is the expected gain
Answer:
[tex]E.G=\$2[/tex]
Step-by-step explanation:
Sample size 52 card
Pay for J or Q [tex]=\$17[/tex]
Pay for King or Ace [tex]=\$5[/tex]
Pay for others [tex]=-\$2[/tex]
Therefore
Probability of drawing J or Q
[tex]P(J&Q)=\frac{8}{52}[/tex]
Probability or drawing King or Ace
[tex]P(K or A)=\frac{8}{52}[/tex]
Probability or drawing Other cards
[tex]P(O)=\frac{36}{52}[/tex]
Therefore
Expected Gain is mathematically given as
[tex]E.G=\sum_xP(x)[/tex]
[tex]E.G=17*\frac{8}{52}+5*\frac{8}{52}+(-2)*\frac{36}{52}[/tex]
[tex]E.G=\$2[/tex]
why is volume calculated in units cubed?
Please help asap for 100 pointsss~!!!!!
[tex] \sf \: Volume \: is \: calculated \: in \: cubic \: units \: ( {units}^{3} ) \: \\ \sf \: because \: we \: use \: volume \: to \\ \sf \: measure \: the \: space \: enclosed \: by \: \: 3 \: dimensional \: (3-D) \\ \sf \: figures \: like \: cuboid, \: cube, \: cylinder \: etc.[/tex]
Pleaseee hellllpppp!!!!
Answer:
I hope option D is write
I hope you help
Answer:
B. 32°
Step-by-step explanation:
The reference angle for 212°
=212°-180°
=32°
Hope it is helpful to you
Find a33 of the arithmetic sequence given a1=17 and d=6.
Answer:
209
Step-by-step explanation:
Given the following:
[tex]a_{1} = 17\\d=6[/tex]
The nth term of an arithmetic sequence is expressed as:
[tex]a +(n-1)d[/tex]
a is the first term = 17
d is the common difference =6
Get the 33rd term:
[tex]n=33\\a_{33}=17+(33-1)*6\\a_{33} =17+32(6)\\a_{33}=17+192\\a_{33}=209[/tex]
Hence the 33rd term is 209
please help me please help me
Answer:
largest 4 digit number × largest 3 digit number
=9999 × 999
(10000-1)×(1000-1) = (a-b)(c-b)= ac-ab-bc+b^2
10000000-10000-1000+1 = 9989001
what is 6 cm and 7 mm converted to
Answer:
converted to what?
Step-by-step explanation:
What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4?
1
–1
i
–i
Answer:
B. -1 should be the answer
Step-by-step explanation:
How many solutions will each system of linear equation have?
Answer:
The top system of equations has one solution, the middle system has infinitely many, and the bottom system has no solution.
Step-by-step explanation:
We can immediately see the top system has one solution because the two equations have different slopes.
For the middle system, we can rearrange terms and multiply by 3 to get that the equations are the same line, so there are infinitely many solutions.
Finally, we can move the -2x to the other side in the first equation of the bottom system to get 2x+y=5. But it also equals -7 from the second equation! This is impossible, so there are no solutions to the bottom system.
Help me solve this please:) I’ll give you brainliest
Step-by-step explanation:
Given:
[tex]\vec{a} = 5\hat{\textbf{i}} + 4\hat{\textbf{j}}[/tex]
[tex]\vec{b} = 5\hat{\textbf{i}} - 5\hat{\textbf{j}}[/tex]
Then
[tex]2\vec{a} = 2(5\hat{\textbf{i}} + 4\hat{\textbf{j}})[/tex]
[tex]\:\:\:\:\:\:= 10\hat{\textbf{i}} + 8\hat{\textbf{j}}[/tex]
[tex]3\vec{b} = 3(5\hat{\textbf{i}} - 5\hat{\textbf{j}})[/tex]
[tex]\:\:\:\:\:\:= 15\hat{\textbf{i}} - 15\hat{\textbf{j}}[/tex]
Therefore,
[tex]2\vec{a} - 3\vec{b} = (10 - 15)\hat{\textbf{i}} + (8 - (-15))\hat{\textbf{j}}[/tex]
[tex]= -5\hat{\textbf{i}} + 23\hat{\textbf{j}}[/tex]
To find the magnitude,
[tex]|2\vec{a} - 3\vec{b}| = \sqrt{(-5)^2 + (23)^2}= 23.54[/tex]
