So far, Diane has burned 362.6 calories. She wants to burn a total of 400 calories. How many more calories must Diane burn?

Answer:

5668

Step-by-step explanation:

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

Given;

total number of candle, n = 22.5 ounce

Rate of candle burn, R = 1 ounce per 5 hours  [tex]= \frac{1 \ ounce}{5 \ hours} = 0.2 \ \frac{ounce}{hour}[/tex]

The amount of candle left = total initial value - amount burnt

let the amount let = y

y = 22.5 - 0.2t

where;

t is the time in which the candle is burnt

Thus, the equation for the amount of candle left is given by;

y = 22.5 - 0.2t

Answer:  60 km/hr and 65 km/hr

Step-by-step explanation:

        o-----------------------------------←500→-------------------------------------o

        Bus 1: rate = r + 5                                              Bus 2: rate = r            

                  time = 4                                                               time = 4

                  distance = d                                                        distance = 500 - d

                              Use distance = rate x time

      Bus 1: d = 4(r + 5)                                               Bus 2: 500 - d = 4(r)

                d = 4r + 20                                                    -d = 4r - 500

                                                                                      d = 500 - 4r

Solve the System of Equations using the Substitution method:

                                    4r + 20 = 500 - 4r

                                    8r + 20 = 500

                                   8r          = 480

                                              r = 60

    Bus 1: rate = r + 5                                              Bus 2: rate = r

                     = 60 + 5                                                              = 60

                     = 65

Distance between both buses = 500km

Time taken by them to meet each other = 4hr

Let speed of bus A be v km/hr.

ATQ, speed of bus B is 5km/ hr more than that of bus A.

∴ Speed of bus B will be (v + 5) km/hr.

★ Diagram :

[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]

★ As we know that,

Assuming both buses as point masses,

Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by

Relative speed of bus A wrt B :

[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]

[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]

[tex]:\implies\bf\:v_{AB}=2v+5[/tex]

By substituting values in (I), we get

[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]

[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]

[tex]\leadsto\sf\:2v+5=125[/tex]

[tex]\leadsto\sf\:2v=120[/tex]

[tex]\leadsto\sf\:v=60\:kmph[/tex]

Speed of bus B = (v + 5)

Answer:

(x) = 1/2x-3/2

Step-by-step explanation:

The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.

Answer:

I am pretty sure it is 1 because you can divide when it is in inproper for

hint it is 7/3

Step-by-step explanation:

Answer:

The answer is 0.0000034

Step-by-step explanation:

Answer:

0.000045

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8

Answer:

13.8 = 13.80

Step-by-step explanation:

13.8 and 13.80 are the same values.

Hope it helped!

Answer:

2

Step-by-step explanation:

im not 100 percent but i believe it is 2

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

[tex]x = - \frac{b}{2a} \\ [/tex]

So we have :

[tex] - 2 = - \frac{b}{2a} \\ [/tex]

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Step-by-step explanation:

X=5

Answer:

y = -3/2x + 3

Step-by-step explanation:

If two lines are parallel to each other the slopes are the same.

So line w's  slope would be the same as line g's -3/2

Now all we have to do is pug in the points to find the y-intercept.

-3 = -3/2(4) + b (b represents the y-intercepts)

-3 = -6 + b (add 6 on both sides)

3 = b

y = -3/2x + 3 is the equation for w.

Answer: (n+3)^2

Step-by-step explanation:

This is the answer lol

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the required miles be x

Rental for Company A

Rental for Company B

Rental costs are equal when:

Answer:

Cant speak spanish

Step-by-step explanation:

Answer:

Construction B

Step-by-step explanation:

A' is the reflection of point A across line BC

Line BC is the mirror, the distance from point A to line BC and from BC to point A' is same and is the shortest distance.

This is achieved by constructing perpendicular line from the point A to BC and extending same line by same distance from BC.

Answer:

a = -5

Step-by-step explanation:

-3a + 7 = 22

Subtract 7 from both sides.

-3a = 15

Divide both sides by -3.

a = -5

Answer:

- 5

Step-by-step explanation:

Step 1:

- 3a + 7 = 22     Equation

Step 2:

- 3a = 15      Subtract 7 on both sides

Step 3:

a = 15 ÷ - 3      Divide

Answer:

a = - 5

Hope This Helps :)

Answer:

the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

Step-by-step explanation:

to find a parallel line to a given line, you must know how to write an equation of a line. You must also know how to put the equation of a line in slope-intercept form. Additionally, you must know how to identify the slope and the Y-intercept in the equation of a line. It is important to remember that parallel lines have equal slopes. Learn how to be able to find a parallel line.

Look at the equation of the line. Let’s say “3x + y = 8” is the equation of the given line. Put the equation of the given line in slope-intercept form: y = mx + b. Using “3x + y = 8” as the equation of the given line, put the equation in slope-intercept form by solving for "y" (subtracting -3x from both sides). You will get “y = -3x + 8.”

Identify the slope. The slope is the "m" in “y = mx + b.” Therefore, the slope in “y = -3x + 8 (slope-intercept form of the given line),” is -3. Identify the y-intercept. The y-intercept is the b in “y = mx + b.” Therefore, the y-intercept in “y = -3x + 8 (slope-intercept form of the given line),” is 8.

   HOPE THIS HELPS HAVE A GREAT DAY!!

Answer:

$0.95

Step-by-step explanation:

6.65 ÷ 7 = 0.95

0.95

Answer:

<B,<C,<A

Step-by-step explanations:

Answer:

it would be 750/500

Step-by-step explanation:

150% of 500 is 750

Answer:

(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where:

[tex]r[/tex] - Norm of vector, dimensionless.

[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])

[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]

[tex](x, y) = (-3.277,-2.294)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])

[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]

[tex](x, y) = (0.866, 0.5)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

If f(1) = 1 that means c is -2 because when you substitute x = 1 and when c = -2, you'll get f(1) = -2(1)+3 = -2+3 = 1

So the constant c is -2 and that means the value of f(-4) is

f(-4)=-2(-4)+3=8+3=11

Thus, the value of f(-4) is 11.

About why does "c" have to be -2, here's the proof.

 Given y = f(x), therefore.

y=cx+3

Since when x = 1 and y = 1, then Substitute x = 1 and y = 1, thus 1 = c+3

1 - 3 = c and therefore, -2 = c #

So this is the proof that c = -2

Answer:

5

Step-by-step explanation:

8*5=40 so you multiply the ingredients by 5

Answer:

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Step-by-step explanation:

First you need to solve the expression in order to get the expression in Slop-Intercept Form:

[tex]y = mx + b[/tex]

-The following equation:

[tex]-6y + 4x = 5[/tex]

Solve:

[tex]-6y + 4x = 5[/tex]

[tex]-6y + 4x - 4x = 5 - 4x[/tex]

[tex]-6y = 5 - 4x[/tex]

[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]

[tex]y = \frac{5 - 4x}{-6}[/tex]

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].