Teresa is maintaining a camp fire. She can
keep the fire burning for 4 hours with 6 logs.
She wants to know how many logs (y) she
needs to keep the fire burning for 18 hours.
She assumes all logs are the same.
How many logs does Teresa need to
maintain the fire for 18 hours?

Answer:

x = (-1±i√3)/2

Step-by-step explanation:

y = -2x² + 9x - 4

x = (-b±√(b²-4ac))/2a

x = (2±√((-2)²-4(-1)(-4))/2(-2)

x = (2±√(4-16))/-4

x = (2±√-12)/-4

√-12 = √12 x √-1

√12 = √4√3

2i√3

x = (-1±i√3)/2

Answer: 436.8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given equation :

Evaluating the options

A (-2, 5)

Answer:

To estimate the square root of a number, you're going to use:

Get as close as possible to the number you're trying to square root by finding two perfect square roots that give a close number.

Answer:

[tex]\sf x=4[/tex]

Step-by-step explanation:

[tex]\sf 5 - 3(2x - 7)=12 - 5(x - 2)[/tex]

To get rid of the parentheses, we'll apply the distributive property. Staring with the left side, multiply -3 by (2x-7).

[tex]\sf 5 - 6x+21=12 - 5(x - 2)[/tex]

5+ 21= 26

[tex]\sf 26 - 6x=12 - 5(x - 2)[/tex]

Now, let's do the same thing to the right side. Multiply -5 by (x-2) »12−5x+10, than add 12+ 10 = 22 .

[tex]\sf 26 - 6x=22 - 5x[/tex]

Combine like terms.

[tex]\sf 26 - x=22[/tex]

Subtract 26 from both sides.

[tex] \sf - x= - 4[/tex]

Multiply both sides by -1.

[tex]\sf x=4[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 2x - 2 = 0[/tex]

Now Adding three on both sides we get

[tex]{x}^{2} + 2x - 2 + 3 = 0 + 3[/tex]

[tex] {x}^{2} + 2x + 1 = 3[/tex]

[tex] {(x + 1)}^{2} = 3[/tex]

Answer:

GH8 remains 70 and gh remains 10

Step-by-step explanation:

there is no five or more

Using translation concepts, it is found that the correct option is given by:

B. The graph of f(x) is shifted three units down from the graph of g(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is:

[tex]g(x) = -4^{5x}[/tex]

The translated function is:

[tex]f(x) = -4^{5x} - 3[/tex]

3 was subtracted from the original function, which means that the translated function was shifted 3 units down, and option B is correct.

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The coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Vertex of the parabola is the point of intersection of symmetry axis of the parabola and the parabola itself.

The given equation of parabola is [tex]y=x^2 + 5x + 10[/tex].

To get the coordinates of vertex of this parabola, we have to write the equation of parabola in the standard form.

So, write the equation of parabola in its standard form as,

[tex]y=x^2 + 5x + 10\\y=x^2+2\times \dfrac{5}{2}x+\dfrac{25}{4}-\dfrac{25}{4}+10\\y=(x-\dfrac{5}{2})^2+\dfrac{15}{4}\\(y-\dfrac{15}{4})=(x-\dfrac{5}{2})^2[/tex]

The standard form of parabola is,

[tex]y-b=(x-a)^2[/tex] where (a, b) is the coordinate of the vertex.

So, by comparing the equations, the vertex of the parabola will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

Therefore, the coordinates of the vertex of the given parabola [tex]y=x^2+5x+10[/tex] will be [tex](\dfrac{5}{2},\dfrac{15}{4})[/tex].

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Answer:

Step-by-step explanation:

To find:

To use:

Given:

The slope of a line is often indicated by the letter m.

It can be calculated by selecting any two points on the line and calculating the rate of change between them.

[tex]\underline{\text{Slope:}}[/tex]

[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Solve.

[tex]\Longrightarrow: \sf{\dfrac{-9-\left(-8\right)}{-9-0}=\dfrac{-1}{-9}=\boxed{\sf{\dfrac{1}{9}}}[/tex]

The slope is 1/9.

Slope-intercept form:

All points (x,y) on the line have m slope and (0,b) y-intercept that satisfy the equation.

The m represents the slope.

The b represents the y-intercept.

The y-intercept is -8.

[tex]\Longrightarrow: \boxed{\sf{y=\dfrac{1}{9}x-8 }}[/tex]

I hope this helps, let me know if you have any questions.

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Answer:

C. (0;0).

Step-by-step explanation:

(0;0) only.

if to substitute the given coordinates into the given inequality and calculate the result, then the left side equals to the right side. Except (0;0).

Answer:

5.641 = x

Step-by-step explanation:

Work on the right triangle

pythag theorem

9^2 + L^2 = 10^2

L = sqrt 19

then x = 10 - sqrt 19 =5.641

Answer:

Step-by-step explanation:

An easy way to determine the nature of the quadrilateral is to look at the lengths and midpoints of the diagonals. Adding and subtracting the coordinates of one end point from the other can tell what you need to know.

The diagonals of a parallelogram are mutual bisectors. The diagonals of a rhombus are perpendicular. The diagonals of a rectangle are congruent.

__

The difference of end points of diagonal AC is ...

  C -A = (7, 2) -(-6, 1) = (13, 1)

The sum of the end points of diagonal AC is ...

  C +A = (7, 2) +(-6, 1) = (1, 3)

The difference of end points of diagonal BD is ...

  B -D = (0, 7) -(1, -4) = (-1, 11)

The sum of end points of diagonal BD is ...

  B +D = (0, 7) +(1, -4) = (1, 3)

midpoints

The two diagonals have the same end point sum, (1, 3), meaning their midpoints are coincident. The figure is a parallelogram.

lengths

The lengths of the diagonals will be the same if the sum of squares of the coordinates of the end-point differences are the same.

  Σ(C -A)² = 13² +1² = 170

  Σ(B -D)² = (-1)² +11² = 122 ≠ 170 . . . . . not a rectangle

perpendicularity

The diagonals will be perpendicular if the "dot product" of the end-point differences is zero.

  x1·x2 +y1·y2 = 13(-1) +1(11) = -2 ≠ 0 . . . . not a rhombus

The most specific name for this quadrilateral is parallelogram.

_____

Opposite sides of a parallelogram are congruent and parallel.

Adjacent sides of a rectangle are perpendicular. This is not a rectangle, so adjacent sides are not perpendicular.

A parallelogram that is not a rectangle or rhombus is described most specifically as a parallelogram.

Answer:

-4585

Step-by-step explanation:

Answer:

= -7

Step-by-step explanation:

given x = 4

12/4 = 3

4 - 3 - 8 = -7

Answer:

2x-15

Step-by-step explanation:

Found it on a Phrase translator to equations.

Answer:

6

Step-by-step explanation:

When you have a proportion (fraction=fraction), you can crossmultiply to solve. See image.

The only value of the angles that could not be the value of the θ is determined as 240⁰.

If sinθ is given as [tex]\frac{\sqrt{3} }{2}[/tex], then the value of θ is determined as follows;

sinθ = √3/2

sinθ = 0.866

θ = sin⁻¹(0.866)

θ = 60⁰

When the angle is translated in radians, θ  = π/3 = 180/3 = 60⁰

thus, θ  = π/3

2(π/3) = 2(60) = 120⁰

using the following formula, we can obtain the rest;

θ = π/3 + 2πk

when k = 1;

θ = π/3 + 2π(1)

θ = 60 + 2(180)

θ = 420⁰

Thus, the only value of the angles that could not be the value of the θ is determined as 240⁰.

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Answer:

C. 27

Step-by-step explanation:

27 + 23 = 50

:)

Answer: hii :)

i know this oneeeee ^^ your answer is 27 <3

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

hopefully this helps you

- Matthew ~

Answer:

attached image

Step-by-step explanation:

Formula:

Discount = Regular price x (% / 100)        

you divided by 100 to change it into a decimal

Sale Price = Regular price - Discount

6 dollars for 12

Step-by-step explanation:

if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples

Answer:

108π

Step-by-step explanation:

volume of a cylinder = πr²h , where r = radius and h = height

given values

==> plugging in given values into formula

V = πr²h

r = 3 , h = 12

V = π(3²)(12)

==> evaluate exponent

V = π(9)(12)

==> multiply 9 and 12

V = 108π

Answer:

is C). 45

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

infinite numbers

pi

square root of 80

^all irrational

Answer:

3) B. 160

4) D. 72

5) C. 16

Step-by-step explanation:

3) 240 - 80 = 160

4) 12 = w/6

w = 6*12

w = 72

5) 44-28 = 16

3/4 cups of dry rice can make 3 cups cooked rice

1 cup dry ice can make

The volume of the red bird feeder will be equal to V=651.88 cubic inches

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid.

It is given that:-

Diameter = 10 inches

Height =  8.3 inches

Volume=?

Since the feeder is cylindrical so the volume will be calculated as:-

[tex]\rm Volume=\dfrac{\pi }{4}d^2H\\\\\\Volume=\dfrac{\pi }{4}(10)^2(8.3)\\\\\[/tex]

V=651.88 cubic inches

Hence volume of the red bird feeder will be equal to V=651.88 cubic inches

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Answer:

45

Step-by-step explanation:

he have -10$ that means he have loan

he withdraw 8,10and 17 dollars

now his balance is -45$

now he deposited 90 dollars

now

=90-45$

=45$