Write a positive or negative integer that represents the situation.

A hiker climbs 900 feet up a mountain.

The integer___ represents the situation.

Answer:

0.16 tons

Step-by-step explanation:

Step-by-step explanation:

x² + 9x < -20

x² + 9x + 20 < 0

(x + 4)(x + 5) < 0

Therefore -5 < x < -4 / (-5,-4)

Answer:

D. (-3;-3)

Step-by-step explanation:

2x-3y<9

A. 2×6-3×(-4)=24 FALSE, because 24>9

B. 2×(-1)-3×(-9)=25 FALSE, because 25>9

C. 2×2-3×(-5)=11 FALSE, because 11>9

D. 2×(-3)-3×(-3)=9 TRUE, because 3<9

Answer:x = -4

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*x+6-3*(x-2)-(x+4)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

((6x + 6) - 3 • (x - 2)) - (x + 4) = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2x + 8 = 2 • (x + 4)

Equation at the end of step

3

:

2 • (x + 4) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :

x = -4

Answer:

128 and can I get brainliest

Step-by-step explanation:

180-95 = 85

85 plus 43 = 128

180 - 128 = 52

180-52 = 128

Answer:

y=128

Step-by-step explanation:

The exterior pleus interior angle makes a 180 degree

so 180-95=85

now the interior angles of a triangle add up to 180

so the in triangle

get 43+85+?=180

180-85-43=52

nowing this we need to find the exterior angle unlike the first we are given the interior not the exterior but same process goes

180-52=128

y=128

Answer:

y=x+2

Step-by-step explanation:

the standard form is y=mx+b where m is the slope and b is the y intercept

TO FIND THE SLOPE: we take the x and y intercepts as a fraction. in this case the line touches the y axis (vertical) at point/value 2 and the x axis at point 2 as well. This means the slope is 2/2x which can be simplified to 1x or just x.

TO FIND THE Y INTERCEPT: we find where the line touches the y axis at point 2.

the slope is plugged into the m of the equation and the y intercept is plugged into the b of the equation.

Answer:

[tex]32 {x}^{5} + 240 {x}^{4} + 720 {x}^{3} + 1080 {x}^{2} + 810x + 243[/tex]

Answer:

Step-by-step explanation:

Refer to attached table for inputs

Below equation is for total time traveled (middle column of table). Solving for x:

Speed of wind is 6 miles per hour

Answer: 3√2

√3 . √6 = √(3.6) = √(9.2) = √(3².2) = 3√2

Step-by-step explanation:

Answer:

b = 3

Step-by-step explanation:

[tex] \sqrt{6} [/tex]can be written as [tex] \sqrt{3} \times \sqrt{2} [/tex]

So, lets arrange it.

[tex] \sqrt{3} \times \sqrt{6} = \sqrt{3} \times \sqrt{3} \times \sqrt{2} = 3 \sqrt{2} [/tex]

Hence b = 3.

Answer:

Step-by-step explanation:

2x + 5y = 1     ⇒    2x = 1 - 5y

y = 2xy + 5

y = (1 - 5y)y + 5

y = y - 5y² + 5

5y² = 5

y² = 1

 y₁ = 1               ∨           y₂ = -1

2x₁ = 1 -5(1)                   2x₂ = 1 - 5(-1)

2x₁ = 1 - 5                      2x₂ = 1 + 5

2x₁ = -4                         2x₂ = 6

 x₁ = -2                           x₂ = 3

Midpoint:

[tex]M=\left(\frac{x_1+x_2}2\ ,\ \frac{y_1+y_2}2\right)=\left(\frac{-2+3}2\ ,\ \frac{1+(-1)}2\right)=\left(\frac12\ ,\ 0\right)[/tex]

The coordinates of the midpoint of the line AB is (0, 1/2).

The equation of the curve is given by y = 2xy + 5.

The equation of the line is given by 2x + 5y = 1.

We have to first find the point of intersection between the curve and the line and then find the coordinates of the midpoint of line AB where A and B is the point of intersection between the curve and the line.

If C(x, y) divides a line AB in m:n then we have,

[tex]x = \frac{mx_2 +nx_1}{m+n},~~~y =\frac{my_2+ny_1}{m+n}[/tex]

And if C(x,y) is the midpoint then m = n.

we have,

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}[/tex]

Where x and y are the coordinates of the midpoint o the line AB.

Find the point of intersection between the line and the curve.

y = 2xy + 5............(1)

2x + 5y = 1..............(2)

From (2) we have,

2x = 1 - 5yx = (1-5y) / 2..........(3)

Substituting (3) in (1).

[tex]y =2\frac{(1-5y)}{2}y + 5\\\\y =\frac{2y-10y^2}{2} + 5\\\\2y = 2y - 10y^2 + 10\\\\10y^2 = 10\\\\y^2 = 1[/tex]

So we have,

y = 1 and y = -1

Puttin y = 1 in (3) we get,

x = (1 - 5) / 2 = - 4 / 2 = -2

Puttin y = -1 in (3) we get,

x = {1-5(-1)} / 2 = (1+5) / 2 = 6 / 2 = 3

Now we have two points of intersection A( 1, -2 ) and B( -1, 3 ).

Finding the coordinates of the midpoint of the line AB.

we have,

[tex]A(1, -2) = A (x_1, y_1)~~and~~B(-1, 3) = B(x_2, y_2)[/tex]

Substituting in the given equation.

[tex]x = \frac{x_2 +x_1}{2},~~~y =\frac{y_2+y_1}{2}\\\\x = \frac{-1 +1}{2},~~~y =\frac{3+(-2)}{2}\\\\x = 0,~~~y=\frac{1}{2}[/tex]

So the coordinates of the midpoint is (x,y) = ( 0, 1/2 ).

Learn more about the midpoint of a given line here:

https://brainly.com/question/24493570

#SPJ2

Answer:

is it 3.00

Step-by-step explanation:

Answer:

0.625.

Step-by-step explanation:

To find the decimal of what Margo spent we have to divide the part ($5.00) by the whole ($8.00). Like this:

(5)/(8) = 0.625

Therefore, the decimal that represents the fraction is 0.625.

I hope this helps!!

- Kay :)

Answer:

[tex]4[/tex]

Step-by-step explanation:

The line passes through points [tex](2,0)\,,\,(0,2)[/tex]

Let [tex](x_1,y_1)=(2,0)\,,\,(x_2,y_2)=(0,2)[/tex]

Equation of a line passing through points [tex](x_1,y_1)\,,\,(x_2,y_2)[/tex] is given by [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-0=\frac{2-0}{0-2}(x-2)\\y=\frac{2}{-2}(x-2)\\y=-1(x-2)\\y=-x+2[/tex]

So,

[tex]f(x)=y=-x+2[/tex]

Put [tex]x=-2[/tex]

[tex]f(-2)=-(-2)+2=2+2=4[/tex]

Answer:

The coordinates of Y' will be:  A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be:  A'(4, -3)

Answer:

28 units

Step-by-step explanation:

Since the perimeter of both triangles is same,

the sum of all sides of first triangle = sum of all sides of second triangle

or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2

or, 12x + 4 = 13x + 2

or, 4-2 = 13x - 12x

or, 2 = x

Now,

Putting the value of x in the perimeter of first triangle,

12x + 4= 12* 2+ 4

= 28 units

Answer:

10

Step-by-step explanation:

Using Euler's formula for polyhedra

F + V - E = 2

Here V = 16 and E = 24, thus

F + 16 - 24 = 2, that is

F - 8 = 2 ( add 8 to both sides )

F = 10

Answer:

b

Step-by-step explanation:

on edge 2021

Answer: 24 servings

Step-by-step explanation:

First and foremost, we should note that:

4 cups = 1 quart

Therefore, 3 quarts = 3 × 4 cups = 12 cups

Since she uses 5 cups of milk to make 10 servings, it means that 1 cup of milk is used to make 2 servings. Therefore, 12 cups would be used to make:

= 12 × 2

= 24 servings.

Answer:

[-9,-4]

Step-by-step explanation:

The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.

This means the range is [-9,-4].

Brackets are used since -9 and -4 are seemingly included.

Answer:

-5, -2, 1, 3.

Step-by-step explanation:

This is how you would put them in order from least to greatest.

Answer:

-5,-2,1,3

Step-by-step explanation:

Hope it helps

Answer:

[tex]301.29\ \text{mph}[/tex]

[tex]119.5^{\circ}[/tex]

Step-by-step explanation:

[tex]v_p[/tex] = Velocity of plane = 320 mph

[tex]v_w[/tex] = Velocity of wind = 35 mph

[tex]\theta[/tex] = Angle between wind and plane directions = [tex]125^{\circ}[/tex]

From triangle law we have resultant

[tex]v_r=\sqrt{v_p^2+v_w^2+2v_pv_w\cos\theta}\\\Rightarrow v_r=\sqrt{320^2+35^2+2\times 320\times 35\cos125^{\circ}}\\\Rightarrow v_r=301.29\ \text{mph}[/tex]

Direction is given by

[tex]\phi=\tan^{-1}\dfrac{v_p\sin\theta}{v_w+v_p\cos\theta}\\\Rightarrow \phi=\tan^{-1}\dfrac{320\sin125^{\circ}}{35+320\cos125^{\circ}}\\\Rightarrow \phi=-60.46^{\circ}=180-60.46=119.5^{\circ}[/tex]

The magnitude of the plane is [tex]301.29\ \text{mph}[/tex] moving at an angle of [tex]119.5^{\circ}[/tex].

Answer:

Step-by-step explanation:

Equation of the quadratic function given as,

g(x) = [tex]\frac{1}{3}(x-6)^2+1[/tex]

Since, leading coefficient of the function is positive,

Parabola will open upwards.

For x- intercepts,

g(x) = 0

[tex]\frac{1}{3}(x-6)^2+1=0[/tex]

(x - 6)² = -3

(x - 6) = ±√(-3)

x = 6 ± √(-3)

Since, x is an imaginary number, this function has no x-intercepts.

Similarly, for y-intercept,

x = 0

g(0) = [tex]\frac{1}{3}(0-6)^2+1[/tex]

      = 12 + 1

      = 13

y-intercept of the function → y = 13

Vertex of the parabola → (6, 1)

For x = 12,

g(12) = [tex]\frac{1}{3}(12-6)^2+1[/tex]

        = 13

Therefore, one point lying on the graph will be (12, 13).

Now we can graph the quadratic function given in the question.

Step-by-step explanation:

[tex]v = \pi \times r {}^{2} \times h \div 3 \\ = \pi \times 2 {}^{2} \times 10 \div 3 \\ = 41.8[/tex]

Answer:

Given that V=πr^2h/3

Where V is unknown

π=3

d=4; r=4/2=2

h=10

Substitute the values

V=3×2×2×10 ÷ 3

V= 120÷3

V= 40

Answer: Scale Factor = 1/4

Step-by-step explanation:

The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.

Answer:

1/3

Step-by-step explanation:

Answer:

it is 1/3

Step-by-step explanation:

it's 1/3 because 1/2 times 2/3 equals 2/6 and you can divide 2 by 2 to get 1 and 6 by 2 to get 3 so the answer is 1/3

Answer:

option B

Step-by-step explanation:

[tex](a+b)^4\\\\=(a+b)^2(a+b)^2\\\\=(a^2+2ab+b^2)(a^2+2ab+b^2)\\\\=a^2(a^2+2ab+b^2)\\\\+2ab(a^2+2ab+b^2)\\\\+b^2(a^2+2ab+b^2)\\\\=a^4+2a^3b+a^2b^2\\\\+2a^3b+4a^2b^2+2ab^3\\\\+a^2b^2+2ab^3+b^4\\\\=a^4+4a^3b+6a^2b^2+4ab^3+b^4[/tex]