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UkoKoshka [18]
3 years ago
13

On a quiz, tina scored 4 points more than julia and earned 2 points in extra credic. Enter an expression that represent tina's s

core and julia's score. Yse variable y to repersent julia's score
Mathematics
1 answer:
andre [41]3 years ago
7 0

Julia’s score is <em>y</em> and Tina’s score is <em>y</em> + 6.

Step-by-step explanation:

Let us take Julia’s score be <em>y</em>.

First Tina scored 4 points more than Julia, so the expression is <em>y</em> + 4.

Then, Tina earned 2 points as extra credic, now the expression becomes

(y + 4) + 2 = y + 6.

Hence Julia’s score is <em>y </em>and Tina’s score is <em>y</em> + 6.

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Finding Derivatives Implicity In Exercise, find dy/dx implicity.<br> ln xy + 5x = 30
Sphinxa [80]

Answer:

dy/dx = -5y - y/x

Step-by-step explanation:

In xy + 5x = 30

Differentiating xy implicitly

y + xdy/dx

Assuming u = xy

In xy = In u

Differentiating In u = 1/u = 1/xy

Differentiating 5x = 5 and differentiating a constant (30) = 0

1/xy(y + xdy/dx) + 5 = 0

(y + xdy/dx)/xy = -5

(y + xdy/dx) = -5xy

xdy/dx = -5xy - y

dy/dx = = (-5xy - y)/x

dy/dx = -5y - y/x

7 0
3 years ago
The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th
Bas_tet [7]

Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.

5 0
3 years ago
Mandy charges all of her customers by weight so she gets $5 per kilogram of corn cobs or $1.25 for an individual corn cob. If Ma
guapka [62]

Answer:

$5

Step-by-step explanation:

Because everyone want to be rich!

7 0
2 years ago
4g−124, g, minus, 12 when g=5g=5
allsm [11]

Answer:

4g-124= -104, g-12= -7

Step-by-step explanation:

g=5

4g-124= ?     g-12

4(5)-124         5-12

4(5)= 20        5-12= -7

20 - 124= -104

4 0
3 years ago
A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
3 years ago
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