Given: m∠EYL=72° Find: m EHL , m LVE .

Answer:

a(n) = 27*(2/3)^(n - 1)

Step-by-step explanation:

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r, and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is

a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)

Answer:

The sequence is A(n) = 27*(1.5)^(n-1)

Step-by-step explanation:

First, we need to see which type of sequence we have:

Differences:

27 - 18 = 9

18 - 12 = 6

the differences are different, let's try with the ratios.

27/18 = 1.5

18/12 = 1.5

12/8 = 1.5

So we have that this ratio is constant, then the sequence can be:

A(n) = 27*(1.5)^(n-1)

For n an integger number

where:

A(0) = 27*1.5^0 = 27

A(1) = 27*1.5^1 = 18

A(2) = 27*1.5^2 = 12

A(3) = 27*1.5^3 = 8

Answer:

Step-by-step explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

[tex]M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}[/tex]

Plug the known coordinates of the midpoint:

[tex]-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}[/tex]

Solve for x and y:

[tex]-4 = 2+x,\quad 12 = 3+y[/tex]

[tex]x=-6,\quad y = 9[/tex]

The result follows from manipulating the conditional probability. By definition,

[tex]P(A_1\mid B)=\dfrac{P(A_1\cap B)}{P(B)}=\dfrac{P(B\mid A_1)P(A_1)}{P(B)}[/tex]

[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{P(B)}[/tex]

By the law of total probability,

[tex]P(B)=P(B\cap A_1)+P(B\cap A_2)=P(B\mid A_1)P(A_1)+P(B\mid A_2)P(A_2)[/tex]

So we have

[tex]P(A_1\mid B)=\dfrac{0.05\cdot0.60}{0.05\cdot0.60+0.10\cdot0.40}\approx0.4286[/tex]

the probability P(A1 | B) is approximately 0.42857

Bayes’ theorem formula is:

[tex]P(A1 | B) = \frac{[P(B | A1) \times P(A1)]}{P(B)}[/tex]

We first need to calculate P(B):

[tex]P(B) = P(B | A1) \times P(A1) + P(B | A2) \times P(A2)[/tex]

Substitute the given values:

[tex]P(B) = 0.05 \times 0.60 + 0.10 \times 0.40\\\\P(B) = 0.03 + 0.04\\\\P(B) = 0.07[/tex]

Next we use Bayes' theorem to find P(A1 | B):

[tex]P(A1 | B) = \frac{[0.05 \times 0.60]}{0.07}\\\\P(A1 | B) = \frac{0.03}{0.07}\\\\P(A1 | B) \approx 0.42857[/tex]

Therefore, the probability P(A1 | B) is approximately 0.42857.

Answer:

The answer is $960

Step-by-step explanation:

A = P(1 + rt)

[A] is Answer

[600] is P

[6%] is r

[10] is time

Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!

Answer:

There is Zero solution to the system of equation.  

Step-by-step explanation:

Consider the provided graph.

The solutions for the system of equations are the values of the variables that simultaneously make both equations true.

Parallel lines are the lines on a plane that never meet. They are always apart from the same distance.

Now consider the provided graph.

From the above definition, it is clear that the parallel lines never intersect. Also, the line has no solution or we can say Zero solution because there are no such variables that simultaneously make both equations true.

Also, the lines never intersect each other. Thus there is zero solution.

Hence, there is Zero solution to the system of equation.

The answer to this equation would be:

C=0

Answer:c=0

Step-by-step explanation:

Answer:

The correct option is b $81.00

Step-by-step explanation:

Interest earned can be found simply by multiplying the interest rate into the principal amount.

Our Interest rate is = 3%

and principal amount = $2,700

Interest earned = $2700 * 3/100

Interest earned =$ 81

So, the correct option is b $81.00.

Answer:

$ 81.00.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

a = -2

b = 4

a - ab + b

= (-2) - (-2)(4) + (4)

= -2 - (-8) + 4

= -2 + 8 + 4

= 14

Answer:

10

Step-by-step explanation:

[tex]a=-2 \\ \\ b=4 \\ \\ a-ab+b \\ \\ -2-(-2)(4)+4 \\ \\ -2-(-8)+4 \\ \\ -2+8+4 \\ \\ -2+12 \\ \\ 10[/tex]

Answer:

true

Step-by-step explanation:

Answer:

8 metres long

Step-by-step explanation:

28 = 2l + 12

2[6]

16 = 2l

8 = l

I am joyous to assist you anytime.

The value of the given expression i.e. [tex]Log_864[/tex] is 2.

Given that,

Based on the above information, the calculation is as follows:

Let us assume [tex]Log_864[/tex] be n

So,

[tex]64= 8^n\\\\8^2 = 8^n[/tex]

n = 2

Therefore we can conclude that the value of the given expression i.e. [tex]Log_864[/tex] is 2.

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After the above expression has been evaluated, Log8 64 = 2.

To evaluate the expression "Log8 64," we need to determine the exponent to which the base 8 must be raised to obtain 64.

In this case, we are looking for the value of x in the equation 8ˣ = 64.

By observing that 8 is equal to 2³, we can rewrite the equation as (2³)ˣ = 64.

Using the property of exponentiation, we can simplify further: 2³ˣ = 64.

Since 64 is equal to 2⁶, we can equate the exponents - 3x = 6.

Solving for x, we find x = 2.

Therefore, Log8 64 = 2.

Learn more about Log at:

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Answer:

A complementary angle is two angles whose sum add up to 90°

Step-by-step explanation:

To find x you have to add both angles.

x + 22° + x° = 90°

(x + x) + 22 = 90

Combine like terms.

2x + 22 = 90

Subtract 22 from both sides

2x = 68

Divide both sides by 2

x = 34

The value of x is 34°

Answer:

The domain is  -∞ < x < ∞ ⇒ answer B

Step-by-step explanation:

* lets revise the meaning of the domain

- The domain is the values of x

- The domain is all the values of x which make the function is defined

- If there are some values of x make the function undefined, we

 exclude these values from the domain

* Now lets look to the figure

- It is a straight line because its ends are arrow, that means the line

 is a straight line no starting point or ending point

- That means x can be any real number

- There is no value of x make the function undefined

∴ The domain of this function is all real numbers

∴ The domain is (-∞ , ∞)

OR

∴ The domain is {x I x all real numbers}

OR

∴ The domain is  -∞ < x < ∞

Answer:

it is b

Step-by-step explanation:

Answer: x = 2 • ± √2 = ± 2.8284

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =  

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.  

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 8 is not a square !!  

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  1  :

 x2 - 8  = 0  

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x2-8 = 0  

Add  8  to both sides of the equation :  

                     x2 = 8  

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 8  

Can  √ 8 be simplified ?

Yes!   The prime factorization of  8   is

  2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 8   =  √ 2•2•2   =

               ±  2 • √ 2  

The equation has two real solutions  

These solutions are  x = 2 • ± √2 = ± 2.8284  

Two solutions were found :

                  x = 2 • ± √2 = ± 2.8284

Not sure what you need help with, but I hope I helped you somehow.

Answer:1:15 P.M

Step-by-step explanation:just substract it 230-115 and you get your time

If she rode for 1.5 hours and caught a flat @ 2:30 pm she had to have started at 1:15

Answer:

zero (0)

when the exponent 0 is applied to a nonzero base, the result is always 1

Step-by-step explanation:

Acoording to the zero power rule, a non zero number raised to the power 0 is always 1:

[tex]a^{0} =1[/tex] whit [tex]a=0[/tex]

Let's check this property using an example:

We know that a quantity over itself is always 1:  [tex]\frac{2}{2} =1[/tex]

We also know that a base without exponent is always raised to the power 1: [tex]2=2^{1}[/tex]

Now, according to the division power rule [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex], so [tex]\frac{2}{2} =\frac{2^{1} }{2^{1} } =2^{1-1} =2^{0} =1[/tex]

Answer:

1.The labels are switched.

2.The "partly cloudy" bar is the wrong length.

3.The "cloudy" bar is the wrong length

Step-by-step explanation:

In the bar graph, the labels are switched.The lable for the horizontal axis should read -----number of days------ and the label for the vertaical axis should read----type of weather----

The scale of the bar graph is good, where a unit distance in the x-axis represent a single day.However, the length for party cloudy is indicated as 7 instead of 8. This is wrong length. Similar mistake is observed in the length for cloudy which is indicated as 6 in the graph instead of 5 as shown in the table.

Answer:

1.The labels are switched.

2.The "partly cloudy" bar is the wrong length.

3.The "cloudy" bar is the wrong length

Step-by-step explanation:

Answer:

The explicit formula

[tex]a_n = 3 +0.25 (n-1)[/tex]

The recursive formula

[tex]a_1 = 3[/tex]                            for [tex]n=1[/tex]

[tex]a_n = a_ {(n-1)} +0.25[/tex]     if [tex]n>1[/tex]

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

[tex]3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25[/tex]

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

[tex]a_n = a_1 + d (n-1)[/tex]

Where d is the constant difference between the terms.

[tex]d = 0.25[/tex]

[tex]a_1[/tex] is the first term of the sequence.

[tex]a_1 = 3[/tex]

So

[tex]a_n = 3 +0.25 (n-1)[/tex]

Finally, the recursive formula is:

[tex]a_1 = 3\\\\a_n = a_ {(n-1)} +0.25[/tex]

Answer:

56.5

Step-by-step explanation:

The length of the paper around the can is equal the circumference of the base.

Circumference = πd

Circumference = 3.14 * 4

Circumference = 12.56

And since the height is 4.5 (which is also the width of the paper if you unwrap it), Multiply the circumference by 4.5.

12.56 * 4.5

= 56.52

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

Answer:

heres the graph

Step-by-step explanation:

[tex]\bf (~~\stackrel{\stackrel{x}{\downarrow }}{-3}~~,~~ y~~)\qquad \qquad y=\left( \cfrac{1}{4} \right)^x\implies y=\left( \cfrac{1}{4} \right)^{-3}\implies y=\left( \cfrac{4}{1} \right)^{3} \\\\\\ y=4^3\implies y=64[/tex]

Final answer:

To find the value of y for the point (-3, y) on the function y = (1/4)^x, you substitute x with -3 and calculate y = (1/4)^(-3) = 1/64.

Explanation:

To find the value of y when the point (-3, y) lies on the graph of the function y = (1/4)^x, we need to substitute x with -3 in the given function.

So, we have y = (1/4)^(-3).

Now we find the value of y by calculating the inverse of 4 cubed, which will be:

y = 1/(4^3) = 1/64.

Therefore, y = 1/64.

Answer:

600

Step-by-step explanation:

200*3=600

Answer:

600 cocoa beans

Step-by-step explanation:

1×3=3, 200×3= 600

Answer:

m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.

Step-by-step explanation:

Quadrilateral ACED is inscribed into the circle (see attached diagram).

Inscribed Quadrilateral Theorem: A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary (add up to 180°).

Since angle CAB has the measure of 40°, then opposite quadrilateral's angle CED has the measure of

180°-40°=140°.

Since angle ABC has the measure of 60°, then the third triangle's angle BCA has the measure

180°-40°-60°=80°.

Since angle BCA has the measure of 80°, then opposite quadrilateral's angle ADE has the measure of

180°-80°=100°.

So, in quadrilateral ACED,

m∠A=40°, m∠C=80°, m∠E=140°, m∠D=100°.

Answer:

75%

Step-by-step explanation:

Because if 10 is half and 5 is half of 10 its 75%

Jane has saved 75% of the radio cost

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.

The radio Jane wants to purchase costs $20 but she has saved only $15. The fraction of the amount Jane has saved to the total cost of the radio is [tex]\frac{15}{20}[/tex]. This fraction would have to multiplied by 100 to convert it to a percentage.

Percentage of the radio cost she has saved = (amount Jane has saved / cost of the radio) x 100

[tex]\frac{15}{20}[/tex] x 100 = 75%

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Answer:

Angle C=35 degrees

Step-by-step explanation:

Angle C is an external angle. So, we can use the external angle theorem and get the equation

Angle C= 1/2(100-30)

Angle C=1/2(70)

Angle C=35 degrees

Answer:

35

Step-by-step explanation:

<C = 1/2 (large arc - small arc)

<C = 1/2 (100-30)

     =1/2(70)

       = 35

Answer:

8

Step-by-step explanation:

if you substitute 3 for x the equation becomes y=2(3) + 2

using order of operations you multiply 3 by 2 and then add 2 which will give you 8

Which one? The fractions to the right?

This is the graph of x-2y=5 start by writing it into y=mx+b format then plug in numbers for x then graph!

Answer:

10+4x=26

Step-by-step explanation:

Answer:

Step-by-step explanation:

26-10 ÷ 4 = X

   ∨

  16 ÷ 4 = X

     x= 4

you can only rent the bike for 4 hours.

your down payment is $10 so you subtract it form the money you have now you are left with $16 dollars you divide it by four becuase 4 x 4 is 16 there for you know you can only go for 4 hours