In a circle, a 90° sector has area 36π ft2. What is the radius of the circle?

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.

Answer: A, B & D

I hope this helps answer helps you out! :3

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]

The value of nine is 5

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]

Answer: 6x^7+ 12x^6+ 3x^5

Hope that helped

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:

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

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]

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

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, ∞)

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:

Answer:

Step-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

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

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.

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

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 :)

Answer:

140

Step-by-step explanation:

this is because of alternate suplementry lines

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

Answer:

Step-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]

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.

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

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...

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

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.

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

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]

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]

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).

Answer:

8

Step-by-step explanation: