Answer:
B. 1/6^9
Step-by-step explanation:
6^-2 = 1/6^2
1/6^2 * 6^5 = 6^5/6^2 = 6^3
6^(3 * -3) = 6^-9= 1/6^9
Answer:
B) 1 over (6 to the power of 9)Step-by-step explanation:
[tex]\left(6^{-2}\cdot6^5\right)^{-3}\qquad\text{use}\ a^n\cdot a^n=a^{n+m}\\\\=(6^{-2+5})^{-3}=(6^3)^{-3}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=6^{(3)(-3)}=6^{-9}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{6^9}[/tex]
Write an equation in standard form of an ellipse that has a vertex at (0,6), and a co-vertex at (1,0), and an center at the origin
Answer:
The standard form of the equation of the ellipse is x² + y²/36 = 1
Step-by-step explanation:
* Lets revise the standard equation of the ellipse
- The standard form of the equation of an ellipse with
center (0 , 0) is x²/b² + y²/a² = 1
, where
* the length of the major axis is 2a
* the coordinates of the vertices are (0 , ±a)
* the length of the minor axis is 2b
* the coordinates of the co-vertices are (±b , 0)
* the coordinates of the foci are (0 , ± c), where c² = a² - b²
* Now lets solve the problem
∵ The vertex of the ellipse is (0 , 6)
∴ a = 6
∵ The co-vertex is (1 , 0)
∴ b = 1
∵ the center is the origin (0 , 0)
∵ The standard form equation is x²/b² + y²/a² = 1
∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify
∴ x² + y²/36 = 1
* The standard form of the equation of the ellipse is x² + y²/36 = 1
ANSWER
[tex]\frac{ {y}^{2} }{ 36 } + \frac{ {x}^{2} }{ 1} = 1[/tex]
EXPLANATION
The equation of an ellipse in standard form with vertices on the y-axis and center at the origin is given by:
[tex] \frac{ {y}^{2} }{ {a}^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]
where
a=6 and b=1
We plug in these value into the formula to get:
[tex]\frac{ {y}^{2} }{ {6}^{2} } + \frac{ {x}^{2} }{ {1}^{2} } = 1[/tex]
[tex]\frac{ {y}^{2} }{ 36 } + \frac{ {x}^{2} }{ 1} = 1[/tex]
Given the function f (x) = 3x - 6, what is the value of f (9)
A 5
B 9
C 21
D 27
The equation g = -9t + 100 represents the amount of money remaining on a gift card, g, after t movie tickets have been purchased. How much money will be left on the gift card after 8 tickets have been purchased?
A $28
B $72
C $87
D $92
Which value for x and y will make the table represent a function?
X | Y
——-
2 | 9
——-
3 | ?
——-
? | 8
Two answers choices
A x = 2, y= 6
B x = 3, y= 9
C x = 1, y = 7
D x = 4, y = 8
The value of nine is 5
At what age do babies learn to crawl? Does it take longer to learn in the winter when babies are bundled in clothes to restrict their movement? Data was collected from parents who brought their babies to New York University Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported ages (in weeks) at which their child was first able to crawl a distance of four feet within one minute. The researchers also recorded the average outdoor temperature (in F) 6 months after the babies; date of birth. The resulting data were grouped by month of birth and all data for babies born on a given month averaged together. If you fit the least-squares line to the 12 data points (one for each month) you obtain the following results from a software package. Notice that the temperature given is taken as the explanatory variable and crawling age as the response variable. The dependent variable is the average crawling age.
R squared = 49.0%
S = 1.319 with 12 ? 2 = 10 degrees of freedom
Variable Variable Coefficient S.E. of Coefficient
Constant 35.6781 1.318
Temp. –0.077739 0.0251
A. (–0.134, –0.022)
B. (0.055, 0.105)
C. (0.024, 0.136)
D. (–0.103, –0.053)
E. (0.053, 0.103)
The correct range for the coefficient of temperature on the crawling age of babies is (0.055, 0.105), indicating a positive impact of temperature on the age at which babies learn to crawl.
A: (0.053, 0.103) The line equation obtained from the least-squares method for the data points indicates that temperature has a positive effect on the age at which babies learn to crawl. The coefficient value of -0.077739 for the temperature variable implies that on average, for every one-degree Fahrenheit increase in temperature, the crawling age increases by 0.077739 weeks. Therefore, the correct range is option B: (0.055, 0.105).
What are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?
Answer:
-0.8 and 0.75.
Step-by-step explanation:
20x^4 + x^3 + 8x^2 + x – 12 = 0
by the rational roots theorem:-
The leading coefficient is 20 with factors +/- 1,2,4,5,10,20
and the constant is -12 with factors +/- 1,2,3,4,6,12
so there are many possible roots like -1, 2, 3/4 3/5 , -4/5 .....
Drawing a graph would be the quickest way to do this, either manually, using graphical software or a graphical calculator.
I used the latter and got 2 rational roots -0.8 and 0.75.
The rational roots of the polynomial f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12 is -0.8 and 0.75 and this can be determined by sketching the graph of the given polynomial.
Given :
f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12
The following steps can be used in order to determine the rational roots of the given polynomial:
Step 1 - Write the polynomial equation.
f(x) = 20[tex]x^4[/tex] + [tex]x^3[/tex] + 8[tex]x^2[/tex] + x – 12
Step 2 - Draw the graph of the above polynomial equation.
Step 3 - The coefficient of [tex]x^4[/tex] is 20 with factors +/- 1,2,4,5,10,20
Step 4 - The constant term of the given polynomial is -12 with factors +/- 1,2,3,4,6,12.
Step 5 - So, from the polynomial equation, the two rational roots are -0.8 and 0.75.
For more information, refer to the link given below:
https://brainly.com/question/3655826
Which of these numbers is between 7 and 9?
A. √8
B. √79
C. 3√64
Answer:
8
Step-by-step explanation:
(2x - 3y)(4x - y) can you help me
Answer:
(2x - 3y)(4x - y) = 8x² - 14xy + 3y²Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
combine like terms
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]8x^{2}[/tex]
Outside (The outside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-2xy
Inside (The inside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-12xy
Last (The last number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]3y^{2}[/tex]
Now add/subtract each FOIL answer according to its sign
[tex]8x^{2}[/tex] - 2xy - 12xy + [tex]3y^{2}[/tex]
Combine like terms
[tex]8x^{2}[/tex] + [tex]3y^{2}[/tex] - 14xy
Hope this helped!
~Just a girl in love with Shawn Mendes
What is 60% of 105 a] 63 b]175 c)630 d]1750
Answer:
60 persent of it is dj 105 ]63
Step-by-step explanation:
Answer:
a] 63
Step-by-step explanation:
Of means multiply
60% * 105
Change to decimal form
.60* 105
63
Match the graph with the correct answer ! Help please
Answer:
I can't see the graph
Step-by-step explanation:
Answer:
y-3=(x+5)
Step-by-step explanation:
how i got that was i made my own graph but looks like yours and thats how i got the answer...
What is the answer to this equation 6s-8=10
S=3 because (6x3)-8=10
Yay!
Answer:
The answer is 3
Step-by-step explanation:
*The goal is to get the s by itself.
6s-8=10
Add 8 to both sides to undo the operation(subtraction)
6s-8+8=10+8
Now we have:
6s=18
Divide by 6 to undo the multiplication between the 6 and s.
6s÷6=18÷6
s=3
hope this helps :)
Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separated by commas.
Answer:
[tex]\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}[/tex]
Step-by-step explanation:
[tex]Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}[/tex]
[tex]\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac<0,\ \text{then the equation has no solution}\\\\\text{if}\ b^2-4ac=0,\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}\\\\\text{if}\ b^2-4ac>0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16<0\\\\\bold{NO\ REAL\ SOLUTIONS}[/tex]
[tex]\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i[/tex]
[tex] \frac{c}{c - 5} = \frac{4}{c - 4} [/tex]
[tex](c - 5)(c - 4) \times \frac{c}{c - 5} = \frac{4}{c - 4} \times (c - 5)(c - 4)[/tex]
[tex](c - 4) \times c = 4(c - 5)[/tex]
With c≠4, 5
[tex] {c}^{2} - 4c = 4c - 20[/tex]
[tex] {c}^{2} - 8c + 20 = 0[/tex]
[tex]c = \frac{2 - + \sqrt{2 - 20} }{2} [/tex]
But 2-20 is negative, therefore there isn't any real solution to this equation.
What is the product3(x)^5(2x^2+4x+1)
Answer: 6x^7+ 12x^6+ 3x^5
Hope that helped
Need Help Please !!!!!!!!!!!!!
Answer:
f(- 1) = 3
Step-by-step explanation:
Locate x = - 1 on the x- axis, then moving vertically up until you meet f(x)
The corresponding value on the y- axis is y = 3, thus
f(- 1) = 3
Solve the following equation. Then place the correct number in the box provided. x/6=3
Answer:
x=18
Step-by-step explanation:
if x/6=3, the you can use the mulitplication property of equations to solve. so multiply each side by 6. it will eliminate the fraction on the left side of the equal side, leaving you with x and then 6x3=18, therefore
x=18
Answer:
x = 18
Step-by-step explanation:
Multiply 6 on both sides.
x = 18
How do i do this? pleaseeee
Y=2 and X=2.5 You do this by doing scale factor!!
X = 2.5
Y= 5
To find these numbers, I First compared the first triangle to the second triangle.
The angles on the right side were 2x bigger than the angle on left.
Use the following matrices, A, B, C and D to perform each operation.
A = |3 1|
|5 7|
B = |4 1|
|6 0|
C = |-2 3 1|
|-1 0 4|
D = |-2 3 4|
|0 -2 1|
|3 4 -1|
1. A + B
2. B - A
3. 3C
4. CD
5. 2D + 3C
Step-by-step explanation:
[tex]A=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right][/tex]
[tex]B=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right][/tex]
[tex]C=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right][/tex]
[tex]D=\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right][/tex]
[tex]1.\\A+B=\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]+\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]=\left[\begin{array}{ccc}3+4&1+1\\5+6&7+0\end{array}\right]=\left[\begin{array}{ccc}7&2\\11&7\end{array}\right][/tex]
[tex]2.\\B-A=\left[\begin{array}{ccc}4&1\\6&0\end{array}\right]-\left[\begin{array}{ccc}3&1\\5&7\end{array}\right]=\left[\begin{array}{ccc}4-3&1-1\\6-5&0-7\end{array}\right]=\left[\begin{array}{ccc}1&0\\1&-7\end{array}\right][/tex]
[tex]3.\\3C=3\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]=\left[\begin{array}{ccc}(3)(-2)&(3)(3)&(3)(1)\\(3)(-1)&(3)(0)&(3)(4)\end{array}\right]=\left[\begin{array}{ccc}-6&9&3\\-3&0&12\end{array}\right][/tex]
[tex]4.\\C\cdot D=\left[\begin{array}{ccc}-2&3&1\\-1&0&4\end{array}\right]\cdot\left[\begin{array}{ccc}-2&3&4\\0&-2&1\\3&4&-1\end{array}\right]\\\\=\left[\begin{array}{ccc}(-2)(-2)+(3)(0)+(1)(3)&(-2)(3)+(3)(-2)+(1)(4)&(-2)(4)+(3)(1)+(1)(-1)\\(-1)(-2)+(0)(0)+(4)(3)&(-1)(3)+(0)(-2)+(4)(4)&(-1)(4)+(0)(1)+(4)(-1)\end{array}\right]\\=\left[\begin{array}{ccc}7&-8&-6\\14&13&-8\end{array}\right][/tex]
[tex]5.\\2D+3C\\\text{This operation can't be performed because the matrices}\\\text{ are of different dimensions.}[/tex]
a triangle has two sides of lengths 6 and 9 what value could the length of the third side be?
Answer:
6.70
Step-by-step explanation:
6^2 = 36
9^2 = 81
81-36 = 45
square root 45 = 6.708203932
Answer: 10.8
so formula for this is a^2 x b^2=c^2
Step-by-step explanation:
6^2 is 36
9^2 is 81
36+81 is 117
117 squared is 10.8
An airplane left Miami, FL. At the same time another plane left Santiago, Chile. The two planes flew toward each other at rates of 625 mph and 575 mph. If Miami and Santiago are 4200 miles apart, how long will it take until the planes pass each other?
Answer:
3.5
Step-by-step explanation:
First we use the concept of relative speed.
The rates of the 2 planes are 625 mph & 575 mph.
Relative speed will be:
(speed of plane A)+(speed of plane B)
=625+575
=1,200 mph
Distance=4200 miles
Thus the time taken for them to meet will be:
Time=distance/speed
=4200/1200
=3.5 hours
We therefore conclude that the planes met after 3.5 hours.
Hope this helps!
Answer:
3.5
Step-by-step explanation:
I need help solving this and getting the right answer. I got the answers 3.7854 changed to 3.79, and another answer which is 3.7878
Answer:
Step-by-step explanation:
I wonder if it wants 3.80 per gallon?
Perhaps the imperial value which would have been 4.50 per gallon which is an imperial gallon (used in Canada). It's hard to tell. I would have thought 3.78 should be more than close enough.
Answer:
$3.79/$4.55
Step-by-step explanation:
1. How many liters in a gallon: 3.79 l (US), 4.55 l (Imp)
2. Cost of gas/gallon: 3.79 liter * $1/liter = $3.79 (US), $4.55 (Imp)
From what you say, using the US gallon, since both answers round to the same number (since there is no currency below the cent), it wouldn't matter too much. Also, unit conversions should not lead to different answers.
Write in slope intercept form an equation of the line that passes through the given points
(-2,6),(4,12)
Answer:
The desired equation is y = x + 8.
Step-by-step explanation:
As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6. Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.
Start with the slope intercept form y = mx + b. Since m = 1, we now have y = x + b. Subbing 4 for x, 12 for y, we can find b: 12 = 4 + b. Thus, b = 8.
The desired equation is y = x + 8.
Answer:
The answer to your question is y=1x+8
Step-by-step explanation: We already know that the slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute the values to find the slope
m= 12-6/4-(-2)
m= 6/4+2
m= 6/6
m=1, so, therefore, the slope is 1
And the y-intercept would be 8
Hope this helps and Please mark my answer as the brainliest
Solve equation.
13x + 41 = 16
Answer:
x = -25/13
Step-by-step explanation:
Subtract 41 from 16 and divide the difference by 13
Answer:
[tex]\large\boxed{x=-\dfrac{25}{13}}[/tex]
Step-by-step explanation:
[tex]13x+41=16\qquad\text{subtract 41 from both sides}\\\\13x+41-41=16-41\\\\13x=-25\qquad\text{divide both sides by 13}\\\\\dfrac{13x}{13}=\dfrac{-25}{13}\\\\x=-\dfrac{25}{13}[/tex]
Help me please. Also could you tell me how to do it for future thanks
Answer:
15200cm^2
Step-by-step explanation:
we can separate this into 2 equivalent triangles , 2 equivalent rectangles, and 1 extra rectangle.
the area of a triangle is 1/2b*h so 40*60*1/2=1200
we have 2 of these triangles so the area of the triangles in total is 2400.
next, the 2 equivalent rectangles. the area of a rectangle is b*h is 80*50= 4000
we have 2 so the area of these rectangles in total is 8000.
lastly we have one more rectangle 60*80=4800.
then we add all these up 2400+8000+4800= 15200
add unit
15200cm^2
and we're done
help with this please
Answer:
140
Step-by-step explanation:
this is because of alternate suplementry lines
Tasty Treats Baking Company asked all students in the senior class at Ridgemont High School the question, “Do you prefer chocolate or butterscotch Tasty Treats?” Everyone surveyed had to pick one of the two answers, and 42%, percent said they preferred chocolate.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
(Choice A)
A
42%, percent of all students at Ridgemont High prefer chocolate.
(Choice B)
B
42%, percent of all students in the senior class at Ridgemont High prefer chocolate.
(Choice C)
C
42%, percent of the male students in the senior class at Ridgemont High prefer chocolate, but we cannot conclude anything about the population.
Answer: B
Step-by-step explanation:
Answer a is incorrect because only the seniors were questioned and answer c is incorrect because nothing was mentioned in the question about only testing males.
Your answer is B
Answer:
b
Step-by-step explanation:
was on khan academy <3
select 3 answers please and thank you!
Answer: A, B & D
I hope this helps answer helps you out! :3
Geraldo has 3 fewer marbles then yan. Together, they have 21 marbles. Which represents this situation ?
Answer:
Step-by-step explanation:
X = number of Yan's marbles. x-3 = number of Geraldo's marbles
annswer: x + (x - 3) = 21
hopes this helps :)
Answer:
Yan has 12 marbles and Geraldo has 9
Step-by-step explanation:
Because 12 + 9 =21 and 9 is 3 less than 12.
The dot plot below shows the number of toys 21 shops sold in an hour:
Dot plot labeled Number of Toys Sold shows 6 dots over 0, 4 dots over 1, 3 dots over 2, 3 dots over 3, 2 dot over 4 and 3 dots over 9
Is the median or the mean a better center for this data and why?
A. Median; because the data is not symmetric and there are outliers
B. Median; because the data is symmetric and there are no outliers
C. Mean; because the data is symmetric and there are no outliers
D. Mean; because the data is skewed and there are outliers
Answer:
D.Mean; because the data is skewed and there are outliers
Step-by-step explanation:
The plot does not have an even display of dots and there is outliers, or boarders
Answer:
D
Step-by-step explanation:
(15 POINTS)
I NEED HELP ASAP!
Please show your work, thank you!
Solve. x^2-5x-6=0
Answer:
x = -1 or x = 6Step-by-step explanation:
[tex]x^2-5x-6==\\\\x^2+x-6x-6=0\\\\x(x+1)-6(x+1)=0\\\\(x+1)(x-6)=0\iff x+1=0\ \vee\ x-6=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\x-6=0\qquad\text{add 6 to both sides}\\\boxed{x=6}[/tex]
X3+6x2-4x-24 factor completely
Answer:
[tex]{x}^{3} - 4x - 12[/tex]
Step-by-step explanation:
[tex] {x}^{3} + 6 \times 2 - 4x - 24[/tex]
[tex] = {x}^{3} + 12 - 4x - 24[/tex]
[tex] = {x}^{3} - 4x + 12 - 24[/tex]
[tex] = {x}^{3} - 4x - 12[/tex]
if g(x)= square root x-2-3 what is the range of g(x)? A.(0,♾) B. (-1,♾) C. [-2,♾) D. [-3,♾)
Answer:
D
Step-by-step explanation:
g(x) = √(x - 2) - 3
The range is all the possible values of g(x). Since we can't take the square root of a negative number, the lowest that g(x) can be is:
g(x) = √0 - 3
g(x) = -3
The highest that g(x) can be is:
g(x) = √∞ - 3
g(x) = ∞
So the range is:
[-3, ∞)
Todd is attempting to predict how much money his furniture company will
make based on the amount raw materials the company currently has at its
disposal. The average profit from the sale of 1 piece of furniture can be
expressed as X+4 and the average number of pieces of furniture that can be
made using the current supply of raw materials can be expressed as X - 4.
What polynomial function can Todd use to calculate the average profit?
Answer:
D
Step-by-step explanation:
The average profit from the sale of 1 piece of furniture = x+4
The average number of pieces of furniture that can be made using the current supply of raw materials = x - 4
The average profit = The average profit from the sale of 1 piece × The average number of pices that can be made
Hence,
[tex]F(x)=(x+4)(x-4)[/tex]
Use the difference of squares formula:
[tex]F(x)=x^2-4^2\\ \\F(x)=x^2-16[/tex]