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Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

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Answer:

Ava = 1.12 m tall

Olivia =  0.89 m tall

Step-by-step explanation:

given;

Ava is 23cm taller then Olivia,

Olivia is half the height of Lucas.

If Lucas is 1.78m tall

find:

how tall are Ava and Olivia

-------------------------------------

Ava = Olivia + 0.23

Olivia = Lucas / 2

Lucas = 1.78

plugin values into the equation above

Olivia = 1.78 / 2 =

Olivia =  0.89 m tall

Ava = 0.89 + 0.23

Ava = 1.12 m tall

Answer:

If a new car was purchased for a cost of $16,183.11, and a down payment of 10% of the value was made, the initial payment was $1,618.31.

Thus, the remaining amount to be financed is $14,564.79. It will be financed in 4 years, at an annual interest rate of 11.5%, for four years. Thus, the total interest will be 46% (11.5 x 4), to be distributed among the 4 years of the financing. Then, the total amount to be paid will be $21,264.59, which will be paid in 48 equal monthly payments of $443.01 (21,264.59 / 48).

Answer:

answer is B $657

Step-by-step explanation:

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Answer:

a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)

b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)  

c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)

d. 4 sig. figs. 827,000,000,000,000 picoseconds  (8.270 x 10^14 picoseconds)

e. 5 sig. figs. 827,000,000,000,000 picoseconds  (8.2700 x 10^14 picoseconds)

Step-by-step explanation:

Answer:

B. 4.62 x 10^5 is scientific notation of 462000

Answer:

6 is 100 times 0.06

0.06 is 10 times 0.006

60 is 1/100 of 6,000

Step-by-step explanation:

Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).

On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).

Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).

Answer:

no#2

Step-by-step explanation:

Answer:

Step-by-step explanation:

This problem is a maximization problem

the objective is to maximize profit

let software program be x

and video program be y

the objective function is

60x+45y>P-------1

constrains

300x+200y<400------2

we can further reduce the expressions

3x+2y<4-----2

Answer:23(22.95684113865932)

Step-by-step explanation:

Answer:

x < -4

Step-by-step explanation:

2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!

Answer: x<7/2

Step-by-step explanation:

Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.

Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.

Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.

Hope this helps!

Answer: x=-12

Step-by-step explanation:

To solve for x, you want to use algebraic properties to isolate x.

[tex]\frac{x}{4}=2+\frac{x-3}{3}[/tex]                       [subtract both sides by [tex]\frac{x-3}{3}[/tex]]

[tex]\frac{x}{4}-\frac{x-3}{3}=2[/tex]                       [get common denominator]

[tex]\frac{3x}{12} -\frac{4x-12}{12} =2[/tex]                  [subtract]

[tex]\frac{-x+12}{12} =2[/tex]                          [multiply both sides by 12]

[tex]-x+12=24[/tex]                     [subtract both sides by 12]

[tex]-x=12[/tex]                            [divide both sides by -1]

[tex]x=-12[/tex]

Now, we know that x=-12.

Answer:

2nd Account has $19,000

1st Account has $42,000

Step-by-step explanation:

First let's split the money invested.

x is money in account 1

y is money in account 2

1st equation

$61,000=x+y

5%=0.05

7%=0.07

2nd equation

0.05*x+0.07*y=$3,430

x=61,000-y

substitute into 2nd equation

0.05(61,000-y)+0.07y=3430

Solve.

3050-0.05y+0.07y=3430

0.02y=3430-3050

0.02y=380

y=380/0.02

y=$19,000

There are 2(two) ways to solve for the 1st account, but I will do it the long way.

y=61,000-x

substitute into 2nd equation

0.07(61,000-x)+0.05x=3430

Solve.

4270-0.07x+0.05x=3430

-0.02x=3430-4270

-0.02x=-840

x=-840/-0.02

x=$42,000

The short way...

x=61,000-y

x=61,000-19,000

x=$42,000

Answer:

  -1 -3i

Step-by-step explanation:

It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.

  (-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i

Answer:

Step-by-step explanation:

If the ratio is ...

  A : B = 4 : 1

Then the ratio to the total is ...

  A : total = 4 : (4+1) = 4 : 5

  B : total = 1 : (4+1) = 1 : 5

Country A produces (4/5)×20 M carats, or 16 million carats.

Country B produces the remainder, 4 million carats.

Answer:

6.48 is the answer.

Answer:

a,d,e could

Step-by-step explanation:

a-is 1/2 of rec a so yes

b-no

c-no

d-could it 1.5 of rec a

e-could it 10 times rec a

Answer: rolling aa six sided die- fiona is deciding which forest

selecting a playing card- Athena has to select 1 student

spinning a spinner - Jenny isa picking a marble

Step-by-step explanation:

Answer:

Fiona- Rolling A Six-Sided Die.

Althea- Selecting A Playing Card From

The Hearts Suit.

Jenny-Spinning A Spinner Divided Into

Five Equal Sections  

Answer:

  the lower right matrix is the third correct choice

Step-by-step explanation:

Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).

Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.

__

We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.

The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&29000\\1+2&1-3&1-1&1000(29+1)\\0&0.15&0.15&2100\end{array}\right] =\left[\begin{array}{ccc|c}1&1&1&29000\\3&-2&0&30000\\0&0.15&0.15&2100\end{array}\right][/tex]

Already, we see that the second row matches that in the lower right matrix.

The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.

The correct choices here are the two you have selected, and the lower right matrix.

Answer:

2/3

Step-by-step explanation:

We solve with combination formula

C(n, r) = nCr = n!/r!( n - r)!

The selection will happen between four women and six men

Total number of people = Total number of possibly outcomes = Four women + six men

= 10 people

This can happen in two ways

a) 2 women

b) 1 man and 1 woman

The probability that at least one woman is selected =

4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2

[6 × (6+ 4)] ÷ 2 / 45

= (6 × 10) ÷ 2/45

= 30/45

= 2/3

Answer & Step-by-step explanation:

Regression studies the relationship between independent / explanatory  (causal) variable, dependent / response (effected) variable. Scatter plot is a diagrammatic representation of regression.

Aspartame Concentration, being a toxic substance, is likely to have negative regression relationship with mice survival rate. It implies that higher concentration leads to lower mice survival, & lower concentration leads to higher mice survival.

The relationship can be strong or weak, depicted by 'r' magnitude, depending upon the intensity of concentration impact on survival. If more percent of the variation in survival rate can be explained by variations in  concentrations, regression coefficient is high. If less percent of the variation in  survival rate can be explained by variations in concentrations, regression coefficient is low

Beyoncé 18 min = 18/60=  = .3 per hour

Kelly = 16 min. 16/60 = 2.6 per hour

So your answer is Beyoncé

Answer:

3/50

Step-by-step explanation:

rise over run

3/50

Answer:

A. 3/50

Step-by-step explanation:

subtract the y values in the form where the first point is subracted from the second point: 460-310=150

subtract the x values in the form where the first point is subracted from the second point: 3500-1000= 2500

then put these numbers in fraction form: 150/2500

simplify: 3/50

Answer:

g = S - c

Step-by-step explanation:

Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:

S = g + c

S (-c) = g + c (-c)

S - c = g

g = S - c is your answer.

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