please help i added 39 points :) but i dont understand this so yeah

Answer:

yes

Step-by-step explanation:

first you add 8 plus 36 then done

The area of the shaded sector of the circle is: 4π/3 units².

Area of sector of a circle = ∅/360 × πr², where r is the radius of the circle and ∅ is the central angle.

Given:

∅ = 120°

r = FG = 2

Thus:

Area of sector of a circle = 120/360 × π(2²)

Area of sector of a circle = 1/3 × π(4)

Area of sector of a circle = 4π/3 units²

Thus, the area of the shaded sector of the circle is: 4π/3 units².

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Answer:

b

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer: look it up :)

Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.

Answer: x+9 or n+9

Step-by-step explanation: sum refers to addition you can put x for "a number"  thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n

Answer: \(\frac{9a}{2}\)

Step-by-step explanation:

\(A=lw \implies w=\frac{A}{l}\\\\w=\frac{18a^2 b^8}{4ab^8}=\frac{9a}{2}\)

Step-by-step explanation:

true duh just use calculator

Answer:

3y

Step-by-step explanation:

Answer:

y intercept is 4

the equation is y= 3/4 + 4

Slope intercept equation y=mx+b

The sides of a triangle can be determined if the trigonometric ratios and angles are given. The missing sides of the given triangle are 6 and 8 respectively.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

The diagram for the given triangle is given below,

Since, sin(x) = (The side opposite to angle x) / Hypotenuse

Apply the above trigonometric ratio in triangle 1 to get,

Sin(21°) = x / 16

=> x = 16 × Sin(21°)

=> x = 16 × 0.36

=> x = 5.76

Which is approximately 6 when taken as nearest to tenth.

Similarly for triangle 2, it can be written as,

Sin(40°) = x / 12

=> x = 12 × Sin(40°)

=> x = 12 × 0.64

=> x = 7.68

Which is approximately 8 when taken as nearest to tenth.

Hence, the missing sides for the given triangles are 6 and 8 approximately.

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$1045 was invested at the interest rate 6% whereas $1,995 was invested at 14%

How is interest computed?

Interest is determined as the amount invested multiplied by the interest rate.

Let Y be the amount invested at 6%

Interest=Y*6%

Interest=0.06Y

The amount invested at 14%, which is $950 more , is Y+950

Interest=(Y+950)*14%

Interest=0.14Y+133

Total interest =0.06Y+0.14Y+133

Note that total interest is 342

342=0.06Y+0.14Y+133

342=0.20Y+133

342-133=0.20Y

209=0.20Y

Y=209/0.20

Y=$1,045(amount invested at 6%)

Amount invested at 14%=$1,045+$950

Amount invested at 14%=$1,995

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If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

The number of adult Pacific newts made their annual migration = 13800

Roughly 2/5 didn't survive the trip

Then the number of newts didn't survive = 13800×(2/5)

= 13800×0.4

= 5520 newts

To find the number of newts survived, we have to use subtraction

The number of newts survived crossing the road = 13800-5520

= 8280 newts

Hence, If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

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Answer:

502

Step-by-step explanation:

100 * 5 + 2 = 505

Answer:

To find the 100th term of the sequence, we need to use the recursive rule and iterate it 99 times, since we are starting at the first term and need to get to the 100th term.

The recursive rule is given as 5, which means each term in the sequence is equal to the previous term times 5. Therefore:

The first term is 2.

The second term is 2 * 5 = 10.

The third term is 10 * 5 = 50.

The fourth term is 50 * 5 = 250.

And so on...

Iterating this rule 99 times gives us:

The 100th term is 2 * 5^99, which is approximately equal to 6.33825300114 × 10^66.

Therefore, the 100th term of the sequence starting with 2 and with a recursive rule of 5 is approximately 6.33825300114 × 10^66.

Answer:

D 288 area of a cylinder is area of the base times the height. pi r² h

Answer:

y = - \(\frac{2}{3}\) x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (- 4.5, 0 ) ← coordinates of intercepts

m = \(\frac{0-(-3)}{-4.5-0}\) = \(\frac{0+3}{-4.5-0}\) = \(\frac{3}{-4.5}\) = - \(\frac{2}{3}\)

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - \(\frac{2}{3}\) x - 3 ← equation of line

Answer:

65.9 so it rounds to 66cm

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

The answer is x = -9. (-9,0)

Step-by-step explanation:

first put the equation into standard slope intercept form

\(y = mx + b\)

\(12y = 2x + 18\)

The problem says the pair is (_,0). so we substitute 0 for y.

\(12(0) = 2x + 18\)

\(0 = 2x + 18\)

solve for x

\( - 18 = 2x\)

\(x = - \frac{18}{2} \)

\(x = - 9\)

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

(1) The inverse function is:  \(f^-1 (y)\) = (y - 8)/0.75 (2) In the inverse function, y represents the number of units produced and x is the hourly wage.(3) an hourly wage of $22.25 is approximately 14.93.

If a vertical line drawn anywhere on the graph of a relation only intersect at one point on the graph, then this graph represents a function. If a vertical line can intersect the graph at two or more points,  the graph does not represent a function.

(a) To find the inverse function, we must solve for x in terms of y.

y = 8 + 0.75x

y - 8 = 0.75x

x = (y - 8)/0.75

So the inverse function is:

\(f^-1 (y)\) = (y - 8)/0.75

(b) In the inverse function, y represents the number of units produced and x is the hourly wage.

(c) To determine the number of units produced when the hourly wage is $22.25, we need to plug  y = 22.25 into the inverse function we found in part (a):

\(f^{-1}\)(22.25) = (22.25 - 8)/0.75

\(f^{-1}\)(22.25) = 14.93

Therefore, the number of units produced at an hourly wage of $22.25 is approximately 14.93.

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Answer:

Step-by-step explanation:

2 3 5 7 11 13 17 19 23 29

The sum = 129

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

A) $3,382.73

B) $82.73

Step-by-step explanation:

We'll use the simple interest formula to solve this. Remember that this formula is:

Where:

• A, is the final amount after the investment

• P ,is the amount invested initially

• r, is the interest rate as a decimal

• n, is the times that the interest is compounded

Now, let's turn the annual interest into a quarterly interest by dividing the annual interest by 4:

We'll have that:

Now, since there are 4 quarters in a year, and the investment is made for 2 years, we'll have that:

Plugging in this data in the formula, and with the $3,300 principal, we'll have that:

To calcuate the interest earned, we substract the principal from this final amount as following:

Answer:

93,600 times

Step-by-step explanation:

Answer:  x = -3/2

Step-by-step explanation: