use the rational exponent property to write an equivalent expression for

Answer:

44,62, and where is E

Step-by-step explanation:

Part (i)

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Reason:

Angle CBA is a right angle (thales theorem), so angle DBA must add to DBC to get 90 degrees. In other words, we solve x+46 = 90 to get x = 44.

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Part (ii)

--------

Reason:

Both inscribed angles DAC and DBC subtend the same arc (minor arc DC), so the inscribed angles are congruent.

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Part (iii)

--------

Reason:

Angle BDC is 28 degrees since angle BAC is also 28 degrees (similar reasoning as part ii above). Let y = angle BCD

Focus on triangle BCD. The three interior angles add to 180

B+C+D = 180

46+y+28 = 180

y+74 = 180

y = 180-74

y = 106

Then subtract 180 from this to get the exterior angle BCE

angle BCE = 180-(angle BCD)

angle BCE = 180-y

angle BCE = 74

Or as a shortcut, you could use the remote interior angle theorem

angle BCE = (angle BDC) + (angle DBC)

angle BCE = (28) + (46)

angle BCE = 74

Answer:

[tex]Population = 2^{24}[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2^{6}[/tex]

Increment = doubles every 40 minutes

Required

Determine the population after 120 minutes

First, we need to determine the fraction of 120 to 40

[tex]Fraction = \frac{120}{40}[/tex]

[tex]Fraction = \frac{3}{1}[/tex]

[tex]Fraction = 3[/tex]

If for every 40 minutes, we have:

[tex]Population = 2^6*2^6[/tex]

We'll have:

[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute

[tex]Population = 2^6 * 2^{18}[/tex]

Apply law of indices

[tex]Population = 2^{6+18}[/tex]

[tex]Population = 2^{24}[/tex]

Answer:

its 2-9

Step-by-step explanation:

Answer:

4:15, 4:3, 1:5

Step-by-step explanation:

Part A:

There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.

4:15

Part B:

As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.

4:3

Part C:

There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.

3:15 = 3/3:15/3 = 1:5

Hope this helps.

Answer:

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

Step-by-step explanation:

Given that:

Total Number of cameras (n) = 8

Defective cameras = 4

X: number of defective cameras

For a binomial distribution :

P(x) = nCx * p^x * (1 - p)^(n - x)

Probability of success (p) on each trial is the same = (total number of samples / number of defective samples) = 8/4 = 0.5

If 2 samples are chosen at random :

Then, the binomial probability distribution will be :

P(x) = 8Cx * p^x * (1 - p)^(8 - r) ; r = 0, 1, 2

y = -3x + 2?

Plug in the value x = 6.

y = -3(6) + 2

y = -18 + 2

y = -16

Hope this helps

Answer:

0.5 m

Step-by-step explanation:

Just use the answer

Answer:

1.092

Step-by-step explanation:

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

Answer: 4x-6=-46

4x-6=-46

Answer:

see below

Step-by-step explanation:

shape LNMP is :

Answer:

y=-1/2x+3

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

i think

Answer:

$1100 per week

Step-by-step explanation:

Amount made per week = $990

Increase amount per week  = $110

Unknown:

What will be his weekly pay per week = ?

Solution:

His weekly pay per week will be = amount made per week + Increase

                                                       = $990 + $110

                                                       = $1100

He now makes $1100 per week.

Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

Answer:

15

Step-by-step explanation:

15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).

Step-by-step explanation

If it is wrong then I'm sorry

Answer:

The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]

Step-by-step explanation:

The value of cos(15°) is (√(6) + √(2))/4.

The correct option is C.

The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.

Using half-angle formula for cosine

cos(x/2) = √((1 + cos(x))/2)

In this case, x = 30°, so we have:

cos(15°/2) = √((1 + cos(30°))/2)

cos(15°/2) = √((1 + √(3)/2)/2)

Now, rationalize the denominator:

cos(15°/2) = √((2 + √(3))/4)

cos(15°/2) = √((1/2 + √(3)/4))

Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):

cos(15°/2) = (√(2) + √(6))/(2√(2))

cos(15°) = (√(2) + sqrt(6))/(2√(2))

By rationalizing the denominator further, we get:

cos(15°) = (√(2) + √(6))/(2√(2))  (√(2)/sqrt(2))

cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))

cos(15°) = (2 + √(12))/(2 x 2)

cos(15°) = (2 + 2√(3))/(4)

cos(15°) = (√(6) + √(2))/4

Therefore, the value of cos(15°) is (√(6) + √(2))/4.

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Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

Answer:

5 4/6

Step-by-step explanation:

You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.

Answer:

x=-1

Step-by-step explanation:

-2(x-6)=x+5

-2x-(-12)=x+5

-2x+12=x+15

-2x -----^

x+2x=3x

+15 turns into minus 15

12-15= -3

-3=3x

-1=x

Answer: 7/3 or 2.333333333

Step-by-step explanation:

Distribute -2 to x and -6

-2x + 12 = x + 5

Subtract x from both sides

-3x + 12 = 5

Subtract 12 from both sides

-3x = -7

Divide -3 from both sides

X= 7/3 or 2.333333333

Answer:

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Step-by-step explanation:

Given

1. When time is not more than 12 hours.

Base amount = P25

Additional = P5 per hour

2. When time is more than 12 hours

Fee = P100 one time payment

Represent (1) as a function of t.

p(t) = Base Amount + Additional * t

p(t) = 25 + 5 * t

P(t) = 25 + 5t --- when t ≤ 12

Represent (2) as a function

P(t) = 100 ---- when t > 12

So, the complete function is

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps

Answer:

djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

Answer:

B

Step-by-step explanation:

Jen bought 5 CDs for $57.50. What was the unit rate?

The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.

To find the unit rate of an item, you need to divide the price by the quantity.

[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]

The first step is to substitute the given amounts into the above formula.

[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]

Now, all you need to do is divide.

[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]

The unit rate is $11.50 per CD.

Answer:

The unit rate is $11.50 per CD.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-(-2)^2 - (8(-2)-2(-3)) + 4(-3)

-4 -(-16 + 6) - 12

-4 - (-10) - 12

-4 + 10 - 12

6 - 12 = -6

Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

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