The table shows Mitch’s record for the last thirty par-3 holes he has played.
Based on this record, what is the probability that Mitch will score a 2 or 3 on the next par-3 hole?
a. 7/9
b. 3/5
c. 3/10
d. 9/50

Answer: 1 3/8 inches.

Answer: 1 3/8

The paper clip is 1.375 inches.

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

Answer:

The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.

Step-by-step explanation:

Answer:

f(x) = 12.5x

Step-by-step explanation:

50 / 4 = 12.5

25 / 2 = 12.5

so...

for 1 hour, there is 12.5 miles traveled

so...

f(x) - 12.5x

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Anita should take 1st job with 500$ for a 40-hour work week with higher hourly rate.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

Anita is offered 500$ for a 40-hour workweek.

So for one hour she will get paid is 500/40 = $12.5 hourly

The second offer is $12 hourly.

Therefore, she should take 1st job with 500$ for a 40-hour work week.

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The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

As we have given about the Euclidean and analytical geometry.

Without using any numerical measurements, we have investigated the connections between points, lines, and planes in Euclidean geometry.

In analytical geometry, we've looked at how the locations of points in a Cartesian coordinate system related to algebra and geometry.

The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

If the Euclidean geometry can be more advantageous in particular circumstances

Example: If using terrain or building chart),

Thus, the analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

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Answer:

(a) 56%

(b) 28%

Step-by-step explanation:

Hope this helps! :)

Answer:

To find the area of the rhombus, we need to first find the length of one of its diagonals. We can use the distance formula to find the length of any of the four sides:

LM = sqrt[(0 - (-7))^2 + (5 - 9)^2] = sqrt[49 + 16] = sqrt[65]

NO = sqrt[(1 - 8)^2 + (8 - 4)^2] = sqrt[49 + 16] = sqrt[65]

So both diagonals have the same length, which means the rhombus is also a square. The length of each side is:

LM = NO = sqrt[65]

Now we can find the area of the rhombus by using the formula:

Area = (diagonal1 * diagonal2) / 2

Since the diagonals are equal, we can simplify this to:

Area = (diagonal)^2 / 2

Substituting in the value for the diagonal, we get:

Area = (sqrt[65])^2 / 2 = 65 / 2

So the area of the rhombus is 32.5 square units

The area of the rhombus, obtained from the dimensions, of the diagonals, found from the trigonometric of sines of the angle can be presented as follows;

Area = 8·√3

The area of a plane figure is the two dimensional space occupied by the figure on a plane.

The measure of the angle ABC, m∠ABC = 60°

The length of the segment AE = 2 units

The diagonals of a rhombus bisect each other at right angles, and the right angles through which they pass, therefore;

BE = ED, m∠AEB = 90°

m∠ABE = 30°

sin(30°) = AE/AB

sin(30°) = 2/AB

AB = 2/(sin(30°)) = 4

AB = 4

BE = √(4² - 2²) = √(12) = 2·√3

Therefore; AC = 2 + 2 = 4

BD = 2·√3 + 2·√3 = 4·√3

The area of a rhombus = (1/2) × The product of the length of the diagonals

Therefore;

Area of the rhombus = (1/2) × (4·√3) × 4 = 8·√3

The area of the rhombus = 8·√3

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Answer:

the answer is 14.9 yd

Step-by-step explanation:

Answer:

add a picture?

Step-by-step explanation:

Answer:

its 8(x+y) +16(x+y) and 24(x+y) and 8x + 8y+16x+16y

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

Answer:

Cubic polynomial function with zeros 3,3 and -3 is \(\mathbf{x^3-3x^2-9x+27=0}\)

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

\((x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0\)

So, cubic polynomial function with zeros 3,3 and -3 is \(\mathbf{x^3-3x^2-9x+27=0}\)

c= 4√7

1) Given that we have a leg of 12 and a hypotenuse of 16 units. Let's use the Pythagorean Theorem to find the missing leg.

2) a² =b²+c²

hypotenuse² = leg² +leg²

16² =12² +c²

256= 144 + c²

256 -144 = c²

112=c²

√c²=√112

c=4√7 (approximately 10.58 units)

3) Hence, we can state that the missing leg has the size of 4√7 units

Step-by-step explanation:

speed=distance÷time

A.V.S=440÷11=40m/s

hope it helps.. Please mark brainliest.

Answer:

40 m/s

Step-by-step explanation:

Find:

We are asked to find the unit rate, How many meters per 1 second?

Know:

440 meters in 11 seconds

Solve:

440 meters in 11 seconds

  ? meters in 1 second

   440/11  = 40 meters per second

Answer:

The average speed of the person is 40 m/s

The average is 40 and  the margin of error is 10.95.

What is margin of error?

The margin of error is a statistic expressing the amount of random sampling in the result of a survey.

Average (A) = sum of all the value/ given set.

A = (51+ 41 + 28)/3 = 40

margin of error = 100/square root of 120 = 10.95.

Therefore, the average is 40 and  the margin of error is 10.95.

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Answer:

The sequence is given below as

Step 1:

The nth term of an arithmentic progression is given below as

To figure out the common difference, we will use the formula below

Step 2:

The first term of the sequence is given below as

Step 3:

Substitute the value of a and d in the formula below

Hence,

The final answer is

OPTION A is the right answer

Answer:

oposite to its angle when they are parallel

Evaluating [log2(3)].[log3(4)].[log4(5)]...[log63(64)] is 6

We can use the property that [log_a(b)]=[log_c(b)/log_c(a)] to simplify the expression. Applying this property repeatedly, we get:

[log2(3)].[log3(4)].[log4(5)]...[log63(64)]

= [log2(3)/log2(2)].[log3(4)/log3(3)].[log4(5)/log4(4)]...[log63(64)/log63(62)]

= [log2(3)/1].[log3(4)/1].[log4(5)/1]...[log63(64)/1]

= log2(3) log3(4) log4(5) ... log63(64)

Now, we can use the identity [log_a(b)log_b(c)log_c(d)...log_y(z)] = log_a(z) to combine the logarithms into a single logarithm with a base of 2:

log2(3) log3(4) log4(5) ... log63(64) = log2(64)

Since 2^6 = 64, we have:

log2(64) = 6

Therefore,  [log2(3)].[log3(4)].[log4(5)]...[log63(64)] evaluates to 6.

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Answer:

5:4

Step-by-step explanation:

60/48

=> Dividing numerator and denominator by 12,

=> 5/4 = 5:4

Answer:

Step-by-step explanation:

The ratio of 60:48

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)

= (4.5)(-10)

= -45

Answer:

-45

Step-by-step explanation:

I. Find value of (4.5)(5)(-2)

    = (4.5)(5)(-2)

    = (4.5)(-10)

    = -45.0 or -45

This question is very easy, you should solve it by yourself.

Hope that help :)

The general form of an exponential function is,

Given that f(3)=11 and f(11)=63 implies,

Divide equation (2) by (1) implies,

Then, the value of a is,

Therefore, the function is,

Find the value of f(6).

Therefore, the answer is 20.93

Answer:

37

Step-by-step explanation:

i hope this helps and study well

Answer:

m=37

Step-by-step explanation:

4m-3+35=180

4m=180-32=148

m=148/4=37

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{7 -1}{-2 +5}\implies \cfrac{6}{3}\implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{(-5)})\implies y-1=2(x+5)\)

Angles and lines come in many distinct varieties in geometry.

Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.

There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.

You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.

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Answer: I need the map good sir please show it

Step-by-step explanation:

If n is an integer and m + 5 is odd, then n must be even.

To prove this statement using contraposition, we need to show that if n is odd, then m + 5 must be even. Assume that n is odd, which means we can write n = 2k + 1 for some integer k.

Then, we can rewrite m + 5 as (2k + 1) + 5 = 2k + 6 = 2(k + 3), which is even.

Therefore, we have shown that if n is odd, then m + 5 is even.

By contraposition, we can conclude that if m + 5 is odd, then n must be even. Overall, the proof uses the fact that odd + odd = even and even + odd = odd, along with the definition of even and odd integers.

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The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?