What is Jada‘s vertical jump

The equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]  

The graph is an exponential function, and it passes through the points:

[tex](x,y) = (1,1)\ (0,2)[/tex]

An exponential function is represented with:

[tex]y = ab^x[/tex]

At (0,2), we have:

[tex]ab^0 = 2[/tex]

This gives

[tex]a(1) = 2[/tex]

[tex]a = 2[/tex]

At (1,1), we have:

[tex]ab^1 = 1[/tex]

[tex]ab = 1[/tex]

Substitute 2 for (a)

[tex]2b = 1[/tex]

Divide both sides by 2

[tex]b = \frac 12[/tex]

Substitute values for a and b in [tex]y = ab^x[/tex]

[tex]y = 2(\frac 12)^x[/tex]

Hence, the equation that represents the function is [tex]y = 2(\frac 12)^x[/tex]

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Answer:

If you're moving the vehicle to the right, shoulder check by moving your head 90° to the right. Turn your head 90° degrees in the direction you're moving the vehicle. And, if you're moving the vehicle to the left, you shoulder check to the left by turning your head 90° to the left.

Answer:

Slope = 4

Step-by-step explanation:

Change in Y = 4

Change in X = 1

Slope = Δy/Δx = 4/1 = 4

[tex]sin^2(\theta)+cos^2(\theta)=1\qquad \qquad sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]tan(x)+cot(x)=\cfrac{2}{sin(2x)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand-side}}{\cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)}\implies \cfrac{sin^2(x)+cos^2(x)}{\underset{\textit{using this LCD}}{sin(x)cos(x)}}} \implies \cfrac{1}{sin(x)cos(x)}[/tex]

now, let's recall that anything times 1 is just itself, namely 5*1 =5, 1,000,000 * 1 = 1,000,000, "meow" * 1 = "meow" and so on, so we can write anything as time 1.

let's recall something else, that same/same = 1, so

[tex]\cfrac{cheese}{cheese}\implies \cfrac{spaghetti}{spaghetti}\implies \cfrac{horse}{horse}\implies \cfrac{butter}{butter}\implies \cfrac{25^7}{25^7}=1[/tex]

therefore

[tex]\cfrac{1}{sin(x)cos(x)}\cdot \cfrac{2}{2}\implies \cfrac{2}{2sin(x)cos(x)}\implies \cfrac{2}{sin(2x)}[/tex]

Answer:

50 cm

Step-by-step explanation:

let x be the heigth we are looking for.

Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]

Since it's a cuboid, we assume opposite sides are equal.

So each rectangle is counted twice:

[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]

Now, we just isolate x:

[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]

Answer:50 cm

Answer:

Step-by-step explanation:

1.6 / 0.2 = 8 x 10⁽⁵⁻²⁾ = 8 x 10³

The cost increases by $1.50 for each additional toothbrush made.

Answer:

a. about 8.3%

b. 2.172 m

Step-by-step explanation:

a. 1.81 * x = 1.96

x = 1.083

Percent increase is approximately 8.3%

b. 1.81 * 1.2 = x

x = 2.172 m

Answer:

The bisector of a given angle

Step-by-step explanation:

Because, the given picture shows an acute angle and the markings on it are of which you can see when a bisector is being searched for.

Answer: 1600m^2

Its a square so all sides are equal. So...

400m * 400m

= 1600m^2

Answer:  1170 miles

Work Shown:

(18 miles)/(1 gallon) = (x miles)/(65 gallons)

18/1 = x/65

x/65 = 18

x = 65*18

x = 1170

Answer: 1170 miles

1 gallon of gas --> 18 miles

65 gallon of gas --> 18 * 65 (which is 1170 miles)

Answer:

try this answer x2 + 2xy + y2 - 16

Answer: 9

Step-by-step explanation:

3/4mile takes 1/12 hours

so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour

Answer:

3/2 miles per hour

Step-by-step explanation:

To find his average speed, divide 3/4 mile by 1/2 hour:

 3        2

----- *  ------ = 3/2 miles per hour

 4         1

Answer: The blue dot's value on the number line is 1.

Step-by-step explanation: Each two-skip interval from -7 to -3 is a skip of 4. Therefore, -3 skipped two times is -3 + 4, which equals 1, therefore the blue dot's value on the number line is 1.

Answer:

x + (4x-20) = 180

by linear pair

therefore x= 70

Applying the definition of linear pair, the value of x is: D. 40.

Therefore:

x + (4x - 20°) = 180°

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 40

Therefore, applying the definition of linear pair, the value of x is: D. 40.

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Step-by-step explanation:

1 2 3 4 5

wa

To solve this, we need to turn this word problem into a system of linear equations. To do this, let's use x to stand for Mr. Fontana's age, and y to stand for his son's age.

The first sentence states that eight years ago, Mr. Fontana was six times as old as his son.

eight years ago = x - 8

Fontana was six times as old as his son = 6(y - 8). Remember, we need subtract 8 from his son's age, which is why I wrote it as 6(y - 8), and his father was 6 times his son's age 8 years ago, which is why I multiplied 6 by y - 8.

Now, putting this all together gives us our first equation:

x - 8 = 6(y - 8)

We can now rewrite this equation in standard form:

x - 8 = 6y - 48 ----->

x - 6y = -48 + 8 ----->

x - 6y = -40 <----- this is our first linear equation

To find our second, we need to turn the second sentence into an equation. It says that in 12 years, Mr. Fontana will be twice as old as his son:

x + 12 = 2(y + 12)

Now, we need to rewrite this equation in standard form:

x + 12 = 2y + 24 ----->

x - 2y = 24 - 12 ----->

x - 2y = 12 <----- this is our second linear equation. We now have our system of equations:

x - 6y = -40

x - 2y = 12

Now we can find the father's age (x) and his son's age (y). First, multiply the second equation by -1, giving us:

x - 6y = -40

-x + 2y = -12

Now we can add both equations together:

x - x - 6y + 2y = -40 + -12 ----->

-4y = -52

Solve for y, by dividing both sides of the equation by -4, giving us:

y = 13

So, now we know the son's age: 13

To find the father's age, replace y in either the first equation or the second equation, with 13. Let's use the first equation:

x - 6(13) = -40 ----->

x - 78 = -40 ----->

x = 78 - 40 ----->

x = 38

Therefore, Mr. Fontana is 38 years old and his son is 13 years old.

Answer:

i think the perimeter is 60

Step-by-step explanation:

9²+12² = x²

15 = x

perimeter = 15×4 = 60

The car overtakes the cyclist at a distance of 72 miles from the starting point.

,Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let the car overtake the cyclist at distance d and time t.

For the car:

48 = d / t

d = 48t

For the cyclist:

16 = d / (t + 3)

d = 16t + 48

48t = 16t + 48

32t = 48

t = 1.5 hours

d = 48(1.5) = 72 miles

The car overtakes the cyclist at a distance of 72 miles from the starting point.

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Answer:

the y intercept is 5/3

the y intercept is 3/5

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

=64

f(3)=2.5×3-10.5

=7.5-10.5

=-3

g(3)=64(0.5×3)

=64×1.5

=96

f(4)=2.5×4-10.5

=10-10.5

=-500

g(4)=64(0.5×4)

=64×2

=128

f(5)=2.5×5-10.5

=12.5-10.5

=2

g(5)=64(0.5×5)

=64×2.5

=150

I think it is the processs It will help you

Step-by-step explanation:

again, a line cutting through 2 parallel lines must have the exact same angles with both of them. otherwise they would not be parallel.

therefore, both angles must be identical

3x + 2 = 2x + 6

x = 4

Answer:

D. -1 the amount of water decreases by 1 gallon every minute.

Step-by-step explanation:

15, 0 -> 12, 3  

3 - 0 = 3  

-------

12 - 15 = -3

3/ -3 = -1

Answer:

B,C,D,F, those are yhe right answer

[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]

Answer:

[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]

Step-by-step explanation:

[tex] \frac{19}{12} - \frac{3}{4} [/tex]

[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]

[tex] = \frac{76}{48} - \frac{36}{48} [/tex]

[tex] = \frac{76 - 36}{48}[/tex]

[tex]= \frac{40}{48} [/tex]

[tex] = \frac{40 \div 8}{48 \div 8} [/tex]

[tex] = \frac{5}{6}[/tex]

[tex]\begin{cases} x=-7\implies &x+7=0\\ x=0\implies &x=0\\ x=1\implies &x-1=0\\ x=6\implies &x-6=0 \end{cases}\qquad \implies (x+7)(x)(x-1)(x-6)=\stackrel{y}{0} \\\\\\ (x+7)(x)\stackrel{using~\mathbb{FOIL}}{(x^2-7x+6)}=0\implies (x^2+7x)(x^2-7x+6)=0[/tex]

[tex]\begin{array}{llll} x^2-7x+6\\ \qquad \times ~x^2\\\cline{1-1} x^4-7x^3+6x^2 \end{array}\qquad +\qquad \begin{array}{llll} x^2-7x+6\\ \qquad \times ~7x\\\cline{1-1} 7x^3-49x^2+42x \end{array} \\\\\\ (x^4-7x^3+6x^2)+(7x^3-49x^2+42x)=0 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x^4-43x^2+42x=y~\hfill[/tex]

Answer:

She will go to 729 games in 162 days.

Step-by-step explanation:

27÷6 = 4.5

4.5 · 162 = 729

Answer:

729 games in 162 days

Step-by-step explanation:

If she goes to 6 games in 27 days, then you divide 27 by 6, to get the unit rate.

27/6=4.5

Now that you have the unit rate, you multiply 162 by the unite rate, or 4.5, in this case.

162x4.5=729

-hope it helps