Fully Simplify (multiplying imaginary numbers)
(-3_/-63) (9_/7)

X= -2

Explanation: the photos are in order :)

Answer:

x = -2

Step-by-step explanation:

3/5 +3/10x = 4/5 + 2/5x

Step 1. Change every fraction into the same denominator

6/10 + 3/10 x = 8/10 + 4/10x

Step 2. Subtract 3/10x

6/10 = 8/10 + 1/10x

Step 3. Subtract 8/10

-2/10 = 1/10x

x = -2

Answer:

Use semi-log paper for plotting Y = log y instead of y against x.

The graph is the straight line Y = (log 2) x + log 5.

Explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y.

Step-by-step explanation:

y is function of the form

b

a

x

.

Semi-log graph is good for revealing such relationship for experimental data [(x, y)] through plots in the proximity of a straight line.

Here, taking logarithms,

Y = log y = log 5 + x log 2.= m x + c.

Slope

d

Y

d

x

is log 2 and Y-intercept is 5 on the log scale.

Graduations will show 1 unit Y = log 10. So, log 2 = 0.3019 unit of Y

Answer:

Opens up with a vertex at (5,-4)

Step-by-step explanation:

Answer:

5mph faster

Step-by-step explanation:

Kayla is going 48 mph because 144/3 is 48

Kendra is going 53mph because 224/4 is 53

53-48=5

8 miles/hour Kendra drives faster than Kayla.

Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.

We need to find out how much faster Kendra drive on average.

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Now, the speed of Kayla=144/3 = 48 miles/hour

The speed of Kendra=224/4 = 56 miles/hour

So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.

Therefore, 8 miles/hour Kendra drives faster than Kayla.

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Answer:

No

Step-by-step explanation: because multiple points have the same x value and it fail the vertical line test

Answer:

D. 6,400

Step-by-step explanation:

I got it right

The fish population at the beginning of 2012 is 100.

A fish population, p, can be represented by the equation;

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t[/tex]

Where t is time in years since the beginning of 2015.

The expression represents the number of population in the year 2015 so first take the difference between the year 2015 and 2012 which is 3 then substitute the 3 in the given equation and solve.

The difference between year 2015 and 2012 is;

t = 2015 - 2012 = 3

Substitute the value of t in the equation

[tex]\rm P =800 \left (\dfrac{1}{2} \right)^t\\\\\rm P =800 \left (\dfrac{1}{2} \right)^3\\\\P = 800 \times \dfrac{1}{8}\\\\P = 100[/tex]

Hence, the fish population at the beginning of 2012 is 100.

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Answer:

Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.

La pared es de 3m por 2m.

Entonces el area es:

A = 3m*¨2m = 6m^2.

Ahora veamos los mosaicos.

Cada mosaico es un cuadrado de 20cm por 20cm.

El primer paso sería cambiar las unidades para tener metros aca también.

1cm = 0.01m

entonces.

20cm = 20*0.01m = 0.2m.

Entonces cada mosaico es:

0.2m por 0.2m

El área de cada mosaico es:

a = 0.2m*0.2m = 0.04m^2.

En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:

14*0.04m^2 = 0.56m^2.

Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:

11*0.56m^2 = 6.16m^2.

Y el área de la pared es 6m^2.

6.16m^2 > 6m^2

Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.

Entonces Samuel no debe comprar mas cajas.

Answer:

its 5

Step-by-step explanation:

Your answer will be:

(p - 9) (p + 4) in factored form.

Answer:

3x-x+2=4

Step-by-step explanation:

Answer: (2, 2 )

Step-by-step explanation:

Plug the x and y-values into the given equation.  If it makes a true statement, then it is a solution.

y = x +  

(0,0) → 0 = 0 +     FALSE

(1, ) →   = 1 +     FALSE

(2, 2 )  →  2  = 2 +     TRUE

Answer:

-5<y<-3

Step-by-step explanation:

Answer:I think it’s 75

Step-by-step explanation:

Answer:

a. subtraction property of equality

Step-by-step explanation:

Answer:

HCF = 90

Step-by-Step explanation:

2 × 3⁴× 5 = 810

2³× 3²× 5²= 1800

Find the prime factorization of 810

810 = 2 × 3 × 3 × 3 × 3 × 5

Find the prime factorization of 1800

1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5

To find the HCF, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 3 × 3 × 5

HCF = 90

Answer:

Step-by-step explanation:

y=1/2x+2

1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases

so the slope increase 1/2 +2

The graph of y=1/2x+2 is shown in figure below

Suppose the considered function whose graph is to be made is

f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f(x)are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

Given;

y=1/2x+2

Here, 1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases;

Hence, the slope increase 1/2 +2

The graph of the given function;

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Answer:

2600

Step-by-step explanation:

(71+29) * 26

(100) * 26

2600

Answer:

2600

Step-by-step explanation:

Step 1:

First, following the order of operations, you have to do what is in the parentheses.

71+29

The sum of those numbers would be 100

Step 2:

Finally, you multiply 100 with 26

100·26

Which is 2600.

Answer:

She could walk 3.75 miles in an hour.

Answer:

7/6x3/7===21/42=== 1/2

Step-by-step explanation:

Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766

Step-by-step explanation:

equations represent the relationship between time and the water level is A. Y= -2x+14

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given, The water level in a storage tank is 14 feet. Water is released at a constant rate until the tank is empty. The graph below shows the water level (y) in the tank, as a function of time (x).

Since at strat x =0, the value of y = 14 and at end y=0 the value of x is 7 hours.

The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept(where x is 0)

since, slope = (y - y')/(x -x')

In our case,

m = (14 /-7

m = -2

and b = 14

thus,

equation of line will be:

y = -2x + 14

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Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

Answer:

3 cups of seeds and 2 tablespoons of syrup

Step-by-step explanation:

Compare the ratios to the original one (9:6) see what is equal. In order, they are:

3:5

2:3

5:2

3:2

Look!

3:2 is equal to 9:6 because:

9 ÷ 3 = 3

and

6 ÷ 3 = 2

Hope this helped!

Answer:

thanks for the free points britt

Step-by-step explanation:

Answer:

then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50

Step-by-step explanation:

Answer:

u<−3 or u>11

Step-by-step explanation:

u2=8u+33

u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)

u2−8u−33=0

(u+3)(u−11)=0(Factor left side of equation)

u+3=0 or u−11=0(Set factors equal to 0)

u=−3 or u=11

9514 1404 393

Answer:

Step-by-step explanation:

1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.

  4 : 20 = 1 : 5

  6 : 30 = 1 : 5

__

2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.

  9/18 = 1/2

  3/8 = 3/8

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

[tex]L=2\pi r[/tex]

If we already know the length of the circle, we can solve the above expression for r:

[tex]\displaystyle r=\frac{L}{2\pi}[/tex]

The distance given around a circular running track is L=200 m, thus:

[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer:

The differences between a physical change and a chemical change are as follows :

Hope I helped!

Best regards ! :D

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