Which relation is displayed in this table? x y

5 5

A. {(5,  5), (6,  −6), (8,  7), (−9,  9)} 8 7

6 -6

-9 9

B. {(5,  5), (−6,  6), (7, 8), (9,  −9)}



C. {(−5,  5), (−6,  6), (−8,  7), (−9,  9)}



D. {(5, −5), (6, −6), (8, −7), (9, −9)}

Answer:

[tex]h^{24}[/tex]

Step-by-step explanation:

[tex](\frac{h^{12}}{h^4})^3\\ (h^8)^3\\h^{24}[/tex]

When dividing two exponents (of the same bases) you subtract the exponents.  When there is an exponent to an exponent, you multiply the to exponents.

[tex]\left(\dfrac{h^{12}}{h^4}\right)^3\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\left(h^{12-4}\right)^3=\left(h^8\right)^3\\\\\text{use}\ (a^n)^m=a^{n\cdot m}\\\\=h^{8\cdot3}=h^{24}\\\\Answer:\ \boxed{\left(\dfrac{h^{12}}{h^4}\right)^3=h^{24}}[/tex]

Answer:

A. 36°

Step-by-step explanation:

Same-length chords subtend same-measure arcs. Arc YZ has the same measure as its central angle (∠YOZ) and the same measure as arc XY (36°).

the measure of angle YOZ is 36°, which corresponds to option A. Therefore, the correct answer is option b.

The measure of an angle formed by two chords in a circle is half the measure of the arc intercepted by the angle.

If chord XY is congruent to chord YZ, it means that the arcs intercepted by these chords are also congruent.

So, if the measure of arc XY is "x" degrees, then the measure of arc YZ is also "x" degrees.

Now, the angle YOZ is formed by these two congruent arcs. Therefore, the measure of angle YOZ is half the measure of the arcs XY and YZ.

Angle YOZ = 0.5 * (x + x) = 0.5 * 2x = x degrees.

Now, if you're given the measure of arc XY (or YZ), you can substitute that value into the formula to find the measure of angle YOZ.

The answer choices you provided are in degrees, so the correct answer is A. 36°, assuming you have the measure of the arc XY (or YZ) in the problem.

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2

Solve the second equation for y.

... 8x -12 = 4y . . . . add 4y -12

... 2x -3 = y . . . . . . divide by the coefficient of y

The coefficient of x is 2, so a parallel line will have an x-coefficient of 2. The line ...

... y = 2x -6 . . . . . . . . m = 2

will be parallel to the given line, so will not intersect it.

Answer:

The cost of the wristband for 8 rides is $35.

Step-by-step explanation:

The expression for the cost, C, for r rides is

C = 2.5r + 15

Since she wants to go on 8 rides, r is 8.

Substitute r with 8 in the cost equation and evaluate it.

C = 2.5r + 15

C = 2.5 * 8 + 15

C = 20 + 15

C = 35

The cost of the wristband for 8 rides is $35.

Answer:

Steplo-by-step explanation:loan is 1200.

The interest rate is 6.50

Pp 46.90

Cumulative payment $53.4

Total payments$1,282.93

Final answer:

Lane will pay a total of $156 in simple interest on the loan of $1200 over 2 years, calculated using the simple interest formula: I = PRT.

Explanation:

Lane borrowed $1200 at a simple interest rate of 6.5% for a period of 2 years. To calculate the total amount of interest that will be paid on the loan, we can use the simple interest formula, which is:

I = PRT

where I is the interest, P is the principal amount borrowed, R is the interest rate per year (expressed as a decimal), and T is the time in years the money is borrowed for.

First, we convert R to a decimal by dividing it by 100:

R = 6.5% / 100 = 0.065

Next, we substitute the values into the formula:

I = $1200 × 0.065 × 2

I = $1200 × 0.13

I = $156

Therefore, the total amount of interest that Lane will be paying on the loan over the next 2 years is $156.

Answer:

-16 sqrt(3) +16i

Step-by-step explanation:

z = 2 cis (pi/6)

z^5 = 2^5 cis (5*pi/6)

z^5 = 32 cis (5pi/6)

 z^5 = 32 cos (5pi/6) + 32 i sin (5pi/6)

        = 32 * (-sqrt(3)/2) + 32i (1/2)

        = -16 sqrt(3) +16i

Answer:

1: Simplify 15/20 to 3/4

y/4=3/4

Multiply both sides by 4

y=3/4×4

Simplify 3/4×4 to 12/4

y=12/4

Simplify 12/4 to 3

y=3

2: Multiply both sides by z-3

6=8/5(z-3)

Simplify 8/5(z-3) to 8(z-3)/5

8(z-3)/5

Multiply both sides by 5

6×5=8(z-3)

Simplify 6×5 to 30

30=8(z-3)

Divide both sides by 8

30/8=z-3

Simplify 30/8 to 15/4

15/4=z-3

Add 3 to both sides

15/4+3=z

Simplify 15/4+3 to 27/4

27/4=z Switch sides z=27/4

Final answer:

After converting their completion fractions to decimal form, Jose finished more of the race than Jenna after 30 minutes, with Jose at 2/3 (approximately 0.6667) and Jenna at 7/12 (approximately 0.5833).

Explanation:

Jose and Jenna competed in a bike race. After 30 minutes, Jose had finished 2/3 of the race, and Jenna had finished 7/12 of the race. To determine who had finished more of the race, we can compare these two fractions by finding a common denominator or converting them to decimal form.

First, let's convert them to decimal form:

2/3 is approximately 0.6667

7/12 is approximately 0.5833

Comparing the decimal values, we can see that Jose's completion (0.6667) is greater than Jenna's (0.5833). Therefore, Jose had finished more of the race after 30 minutes.

Answer: No

Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.

The recursive formula

[tex] a_n = 2a_{n-1}+5 [/tex]

means that, to compute the next value, you have to double the previous one and then add 5.

So, we start with 5. To get the second term, we double it and add five, so we have

[tex] a_2 = 2\cdot 5+5 = 10+5 = 15 [/tex]

Next, we will double 15 and add 5:

[tex] a_3 = 2\cdot 15 + 5 = 30+5 = 35 [/tex]

So, the answer is B, because it's the only option starting with 5,15,35.

Just to check, let's compute the last step:

[tex] a_4 = 2\cdot 35 + 5 = 70+5 = 75 [/tex]

Which confirms option B

Answer:

2

Step-by-step explanation:

1/2 cup = 2/4 cups = 2 × 1/4 cup

Alonzo can make 2 batches that each require 1/4 cup.

Answer:

A = 10w

Step-by-step explanation:

In the area formula, the coefficient of width is length. Here, that is ...

... A = 7w

7 is the coefficient of the width. Increasing it by 3 makes it be 10, so we have ...

... A' = 10w

_____

Comment on the problem statement

The problem does not make it clear whether area stays the same as the coefficient increases. We have assumed that it does not.

Also, the coefficient of width in the area formula has units of inches. "Increases by 3" makes no sense in this context. It would make sense for it to increase by 3 inches. The result is very different if the increase is 3 microns, for example.

Using the smallest number she has, 9 daisies..

18/9 = 2

45/9 = 5

She can make 9 bouquets with 2 roses, 1 daisy and 5 tulips in each.

That means each bouquet would have 8 total flowers.

The angular velocity of the point is found this way:

w = v/r

w = 200/(8/2) <--the two is from 2 * Pi * r

w = 50 rad/sec.

Answer: 50 rad/sec.

fullness; live

Answer:

x + y = 60

Step-by-step explanation:

In the given figure, we have two lines that intersect each other at one point.

Therefore, the opposite angles are equal to each other and we can write them in the form of an equation as:

2y - 5 = 95 --- (1)

3x + 55 = 85 --- (2)

Now solving each of the equations to find the value of x and y.

For y:

2y - 5 = 95

2y = 95 + 5

2y = 100

y = 50

For x:

3x + 55 = 85

3x = 85 -55

3x = 30

x = 10

Therefore, x + y = 10 + 50 = 60.

Answer:

0.9885   (98.85%)

Step-by-step explanation:

Since sample is less than 10% of the population, we can use binomial distribution to approximate the probability.

So we want to calculate P( X < 20 ).

We can calculate the probability of complement event P( X = 20 ).

Use binomial formula b(x; n, p) = C( n, x ) p^(x) (1-p)^(n-x)

b( 20; 20, 0.8 )

= C( 20, 20 ) (0.8)^(20) (0.2)^0

= (0.8)^20 ≈ 0.0115

So since P( X < 20 ) = 1 - P( X = 20 ), we have

P( X < 20 ) ≈ 1 - 0.0115 = 0.9885

The required value of probability for the given sample is given as 0.9885.

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Total number of students are given as 800.

The probability of students riding the school bus is 80% = 0.8.

Then,  probability of students not riding the school bus is 1 - 0.8 = 0.2.

The probability of finding at least one student out of 20 not riding the bus is given as,

1 - P(All of the students ride bus)

It can be solved using binomial distribution as follows,

⇒ 1 - ²⁰C₂₀(0.8)²⁰(0.2)⁰

⇒ 1 - 0.0115 = 0.9885

Hence, the probability that at least one of the students doesn't ride the bus is given as 0.9885.

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Answer:

See the attached

Step-by-step explanation:

When in doubt, draw a diagram.

The orthocenter of this acute triangle will be within its bounds. That should tell you right away that the y-coordinate of it will not be 8, but must be between 2 and 6.

The line perpendicular to BC through A must have a y-intercept greater than the y-coordinate of A, so cannot be 5. Whatever it is, the y-coordinate of the orthocenter will be less, so again, your answer fails the reasonableness test.

The perpendicular line to BC through A is ...

... y = (-1/2)(x -2) +6 = -x/2 +7 . . . . . . looks like you had a sign error in (-1/2)(-2)

The intersection of that line and x=6 is ...

... y = -6/2 +7 = 4

Answer:

Your answer is Taylor

Step-by-step explanation:

Answer:

Taylor

Step-by-step explanation:

her answer is 0.09 greater then suki who is 2nd biggest

plz mark brainliest

To find the area of a circle given its diameter's endpoints, determine the diameter length, radius, and then calculate the circle's area using the radius.

The area of a circle can be found using the distance formula between two points representing the diameter's endpoints. Given points P(3,2) and Q(7,10), the diameter length is calculated as sqrt((7-3)^2 + (10-2)^2) = sqrt(4^2 + 8^2) = sqrt(16+64) = sqrt(80).

Knowing that the radius is half the diameter, the radius, r = sqrt(80)/2 = 4*sqrt(5).

Finally, the area of the circle is A = pi*r^2 = pi*(4*sqrt(5))^2 = 80*pi square units.

Answer:

d. 13.5, 20.25

Step-by-step explanation:

An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.

The common ratio is 6/4 = 3/2.

The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.

The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.

Final answer:

The missing values for the exponential function table with an increasing common factor of 1.5 are 13.5 for x=1 and 20.25 for x=2, making the correct answer Option D.

Explanation:

The student's question pertains to finding the missing values for the exponential function represented by the table with given x and y values. Given the nature of an exponential function, we expect that as x increases by 1, the value of y is multiplied by the same factor each time. We can observe this behavior in the initial y-values: 4, 6, and 9. To find this constant multiplier, we can divide 6 by 4 and 9 by 6, which both give us 1.5. This constant factor, which we'll call base of the exponential function, indicates that for every increase of 1 in x, the value of y is multiplied by 1.5.

To find the missing y-values for x=1 and x=2, we just continue multiplying by the base 1.5. Thus, when x=1:

y = 9 × 1.5 = 13.5

When x=2:

y = 13.5 × 1.5 = 20.25

Hence, the completed table should read as follows:

x=-2, y=4

x=-1, y=6

x=0, y=9

x=1, y=13.5

x=2, y=20.25

The correct answer is therefore Option D: 13.5, 20.25.

x = 8.5

The other two sides are given in the diagram.

The Pythagorean theorem tells you ...

... 19² = 17² +x²

Subtracting 17², we have ...

... x² = 361 -289 = 72

Taking the square root gives x.

... x = √72 = 6√2

... x ≈ 8.5

Answer:

it will grow 30 ft in 20 years

Step-by-step explanation:

the height will equal the growth rate times the time

height = 1.5 ft/year * 20 year

height = 30 ft

Answer:

‪0.155922‬

Step-by-step explanation:

Answer: 0.1562 kilograms

Step-by-step explanation: To convert 5.5 ounces into kilograms, we first convert 5.5 ounces into grams using the conversion factor 1 oz = 28.4 g.

Since we are going from a larger unit "ounces" to a smaller unit "grams" we multiply 5.5 by the conversion factor which is 28.4 to get 156.2.

This means that 5.5 ounces is equal to 156.2 grams.

Next, we convert 156.2 grams into kilograms using the conversion factor

1 kilogram = 1,000 grams. Since we are going from a smaller unit "grams" to a

larger unit "kilograms" we divide 156.2 by the conversion factor which is 1,000

and we get 0.1562 kilograms.

Therefore, 5.5 ounces is equal to approximately 0.1562 kilograms.

Answer:

the set of all points between point F and point G, including point F and point G

Step-by-step explanation:

The definition of a line segment is the set of points on a line between two given end points, including those end points. The best description is the one that matches the definition.

Answer:

the set of all points between point F and point G, including point F and point G

Step-by-step explanation:

Answer:

D. 15 and 49

Step-by-step explanation:

Numbers are relatively prime if the only positive integer  that divides both of them is 1.

A. 12 and 54

both 12 and 54 can be divided by 3

12/3 =4   54/3 = 18

B. 9 and 21

both 9 and 21 can be divided by 3

9/3 =3  and 21/3 = 7

C. 21 and 39

both 21 and 39 can be divided by 3

21/3 =7 and 39/3 = 13

D. 15 and 49

13 is 3*5    and 49 is 7*7

This is relatively prime

Answer :

The proof is as follows :

Step-by-step explanation:

Let NC = x

⇒ AB = 3x and AN = 2x

In Δ ABN, By using Pythagoras theorem,

AB² = BN² + AN²

⇒ BN² = AB² - AN²

⇒ BN² = (3x)² - (2x)²

⇒ BN² = 5x²

⇒ BN = x√5  .......................(1)

Now in ΔANC , Using Pythagoras theorem We have,

AC² = NC² + AN²

⇒ AC² = x² + (2x)²

⇒ AC² = 5x²

⇒ AC = x√5   ....................(2)

From equations (1) and (2) We get,

AC = BN , which is our required result

Answer:

BN=AC=√5 x.

The proof is explained in step-by-step explaination.

Step-by-step explanation:

Let NC=x. It is given that AB=3NC & AN=2NC

⇒ AB=3x & AN=2x

By applying Pythagoras theorem

In triangle ANC,

[tex]AC^{2}=AN^{2}+NC^{2}[/tex]

⇒ [tex]AC^{2} = (2x)^{2}+x^{2}[/tex]

⇒ [tex]AC^{2}=4x^{2}+x^{2} =5x^{2}[/tex]

⇒ [tex]AC=\sqrt{5}x[/tex]   →    (1)

Similarly, In triangle ABN,

[tex]AB^{2}=AN^{2}+BN^{2}[/tex]

⇒ [tex](3x)^{2}=BN^{2}+x^{2}[/tex]

⇒ [tex]9x^{2} = (BN)^{2}+4x^{2}[/tex]

⇒ [tex]BN^{2}=5x^{2}[/tex]

⇒ [tex]BN=\sqrt{5}x[/tex]   →   (2)

From eq (1) & (2),    AC=BN

Answer:

6 square root of 5 end root minus 4 square root of 7

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}=3\sqrt{5}-2\sqrt{7}+\sqrt{3^2\cdot 5}-\sqrt{2^2\cdot 7}\\\\=(3+3)\sqrt{5}+(-2-2)\sqrt{7}=6\sqrt{5}-4\sqrt{7}[/tex]

_____

Comment on the answer form

In symbols, parentheses are preferred for grouping:

... 6√(5) -4√7

or

... 6(√5)-4√7

As with your "end root" the grouping symbols are only needed to resolve the ambiguity of what's under the radical.

Answer:

Answer:

6 square root of 5 end root minus 4 square root of 7

Step-by-step explanation:

_____

Comment on the answer form

In symbols, parentheses are preferred for grouping:

... 6√(5) -4√7

or

... 6(√5)-4√7

As with your "end root" the grouping symbols are only needed to resolve the ambiguity of what's under the radical.

Answer:

2^(8/9) in²

Step-by-step explanation:

Make use of the identity ...

... (a^b)^c = a^(bc)

Here, you have a=2, b=4/9, c=2. There is an additional factor (units of inches) inside the parentheses on the left. For that, you use the identity

... (ab)^c = a^c·b^c

In this case a = 2^(4/9), b = in, c = 2.

So, the working of your problem is ...

... Area = (side length)^2 = (2^(4/9) in)^2 = (2^(4/9))^2 in^2

... = 2^(4/9·2) in^2 = 2^(8/9) in^2

Answer:

56 = (0.85)w

Step-by-step explanation:

"is" translates to "=".

"of" translates to "×".

We can let "what number" translate to "w".

Then ...

56 is 85% of what number . . . . translates to ...

56 = 0.85×w

_____

Of course, you know that 85% = 85/100 = 0.85.

Answer:

AE

Step-by-step explanation:

Pairs of letters identify line segments:

... AE, EG, AG

... AD, DE, AE

Segment AE is common to both lists.