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Answer:

x = 60 degrees

Step-by-step explanation:

AOD is 360-240 which is 120 degrees

AOB is 120-90, so 30.

Since AOC is 90 degrees, BOC is 90-AOB, so 90-30, 60 degrees

x= 60 degrees

Answer:

21x+1=37

21x+1-1=37-1

21x=36

x=36/21

x=9/7

Answer:

X1=2 X2=-32/21

Step-by-step explanation:

21x-5=37

21x-5=-37

21x=37+5

21x=42

x=2

21x=-37+5

21x=-32

x=-32/21

Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1

Answer:

Step-by-step explanation:

This is a geometric series.

First term = - 2

Ratio = second term ÷ first term = 8 ÷ (-2) = -4

Next three terms are:

-32 *(-4) = 128

128*(-4) = - 512

-512*(-4) = 2048

Answer:

The next 3 terms would be 128, -512, 2048

Step-by-step explanation:

Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]

Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4

So we would rewrite the equations to find the next three terms as

[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]

[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]

[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]

The slope of the handicap ramp is 1/2

The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).

m = (y₂ - y₁)/(x₂ - x₁)

Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (5d - 4d)/(3d - d)

m = d/2d

m = 1/2

So, the slope of the handicap ramp is 1/2

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Rationalise the denominator of 1/2√3

Detailed answer is in the image attached.

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Based on the information given, the cost per hour for her long-distance call will be $4.80.

Amount that was charged for the call = $7.20

Number of hours used = 1.5 hours

The cost per hour for her long-distance call will be:

= Amount that was charged for the call / Number of hours used

= 7.20 / 1.5

= $4.80

In conclusion, the cost is $4.80.

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Answer:

364

Step-by-step explanation:

156/3 = 52 boxes/hour

52 boxes x 7 hours = 364

Answer:

( 5 , − 1 )

Step-by-step explanation:

g = 64.99 - 4.98

Step-by-step explanation:

If g is the original price then if you subtract the difference between the original price and the current price.

Answer:

vertical angle are congruent

because BD and CE intersect and intersecting lines make vertical angle

Step-by-step explanation:

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

Answer:

$288

Step-by-step explanation:

.04 * 7,200= 288

Commission multiplied by Stocks sold= Answer

Hope this helps :)

£293.25

If 1 euro is worth 0.85 pounds, the total of 345 euros is 0.85 times the value of a single euro. This is therefore 0.85 * 345, or £293.25.

Answer:

31482.5

Step-by-step explanation:

multipliy 1,799 by 35= 62965 the divide by 2.

Answer:

They are both the same line

Step-by-step explanation:

Answer:

Since we are assuming a constant velocity, we know that v = d/t which means we can rearrange this formula to solve for distance:

d = v * t

d = (20 cm/sec) * (25 sec) = 500 cm

Step-by-step explanation:

Considering the hypergeometric variable, it is found that since the population size is less than 20 times the sample size, the binomial distribution cannot be used.

The tiles are chosen without replacement, hence, the hypergeometric distribution is used.

The hypergeometric distribution can be approximated to the binomial if the population size is at least 20 times the sample size.

[tex]\frac{100}{7} = 14.28 < 20[/tex]

Hence, the binomial distribution cannot be used.

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Answer:

For (a)

Well let “x” be amount of sales

And let ”y” be total pay

so 1200 is the base pay/ weekly

And a 5 percent commission on amount of sales

5 percent can be written as 0.05

Now we can make an equation

1200+0.05x = Y

So that would be your equation

Now for (b)

If she sold 10,000 that week as commission we can just plug it into our equation

1200+0.05(10,000)=y

Now solve

5 percent of 10,000 is 500 dollars.

Now 1200+500=1700

(b) is 1700 earned that week

Now for (c)

We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.

So same equation

1200+0.05x=3000

x=36,000 have to be solve in order to make 3,000 income Per week.

Answer:

$16

Step-by-step explanation:

32×5=160

6×4=24

160+24=184

200-184=16

Elie was left with $16 at the end of the trip

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.

Assume that she is left with $[x]. Then, we can write the equation as -

x = 200 - {(32 x 5) + (6 x 4)}

x = 200 - {160 + 24}

x = 200 - 184

x = 16

Therefore, Elie was left with $16 at the end of the trip.

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The point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,

then, its equation is given as:

(x-h)^2 + (y-k)^2 = r^2

The given equation is

(x+10)^(2)+(y+1)^(2)=25

Where,

h = - 10

k = -1

r = 5

If x = -6 and y = 2

then the given equation of circle is stidfy the given points.

Hence, the point on the circumference of the circle with the equation (x+10)^(2)+(y+1)^(2) = 25 is (-6 , 2).

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Answer:

51.2578125

Step-by-step explanation:

3 * (3/2)^(8 - 1)

3 *(3/2)^7

51.2578125

Answer:

68

Step-by-step explanation:

16 + ((15 + 5) + 32)

= 16 + (20+32)

= 16 + 52

= 68

* Use BODMAS to solve the sum

Answer:  No.

Step-by-step explanation:

The (4,7) point has a ratio of 0.5714, different than all the others at 0.6.

3 5 0.6

4 7 0.571428571

6 10 0.6

9 15 0.6

Answer:

A

Step-by-step explanation:

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

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