surds and roots
look at the picture
area of the triangle

Answer:

it=552

Step-by-step explanation:

with rounding it = 550

The value of z-score for a pregnancy lasting 286 days will be;

⇒ z - score = 1.25

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

Mean = 266 days

Standard deviation = 16 days

Now,

We know that;

⇒ z - score = (X - μ) / σ

Substitute all the values, we get

⇒ z - score = (286 - 266) / 16

⇒ z - score = 20/16

⇒ z - score = 1.25

Thus, The value of z - score = 1.25

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The value of the given limit expression is 1.

Given is limit expression \(\lim _{x\to \infty }\left(x^{\frac{1}{3x}}\right)\), we need to use L’Hôpital’s Rule to solve it,

So,

\(\lim _{x\to \infty \:}\left(x^{\frac{1}{3x}}\right)\)

Using the exponent rule,

\(=\lim _{x\to \infty \:}\left(e^{\frac{1}{3x}\ln \left(x\right)}\right)\)

Applying the chain rule,

\(\lim _{x\to \infty \:}\left(e^{\frac{1}{3x}\ln \left(x\right)}\right) = 1\)

Hence the value of the given limit expression is 1.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

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Answer:

14 feet

Step-by-step explanation:

Answer:

h = √72 in.

Step-by-step explanation:

Height of the cone using pythagorean theorem, a² + b² = c², where:

a = h

b = ½(6) = 3 in.

c = 9 in.

Plug in the values

h² + 3² = 9²

h² + 9 = 81

h² + 9 - 9 = 81 - 9

h² = 72

h = √72

Answer:

(4,8)

x=4

y=8

Step-by-step explanation:

x is the first number

y is the second number

x+y=12

x-y= -4

Let's add y and 4 to the second equation to get y by itself

x+4=y

We can substitute this value in for y in the first equation

x+x+4=12

2x=8

x=4

We can then use x=4 and plug that into any equation

4+y=12

y=8

The answer is (4,8)

Answer:

If x is the length of the square tomato patch, then the width of the tomato patch is also x, since it is a square.

According to the problem, the length of the rectangular vegetable garden must exceed three times the length of the tomato patch by 2 feet, so the length of the garden is:

3x + 2

The width of the rectangular vegetable garden must exceed the width of the tomato patch by 5 feet, so the width of the garden is:

x + 5

To find the area of the garden, we multiply its length by its width:

Area of garden = length x width

Area of garden = (3x + 2)(x + 5)

To find the area of the tomato patch, we note that it is a square with side length x, so its area is:

Area of tomato patch = x²

Therefore, the area of the vegetable garden that is not taken up by the tomato patch is:

(3x + 2)(x + 5) - x²

And the total area of the vegetable garden, including the tomato patch, is:

x² + (3x + 2)(x + 5)

Simplifying:

x² + (3x² + 17x + 10)

4x² + 17x + 10

So the total area of the garden is 4x² + 17x + 10 square feet.

Answer:

<g = 129°

alternate interior angles

Step-by-step explanation:

hope this helps! :)

G is 129°

Angles g and f are vertical angles.

the image is to show why :)

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Answer:

1. y' = 3x² / 4y²

2. y'' = 3x/8y⁵[(4y³ – 3x³)]

Step-by-step explanation:

From the question given above, the following data were obtained:

3x³ – 4y³ = 4

y' =?

y'' =?

1. Determination of y'

To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:

3x³ – 4y³ = 4

Differentiate

9x² – 12y²dy/dx = 0

Rearrange

12y²dy/dx = 9x²

Divide both side by 12y²

dy/dx = 9x² / 12y²

dy/dx = 3x² / 4y²

y' = 3x² / 4y²

2. Determination of y''

To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:

3x² / 4y²

Let:

u = 3x²

v = 4y²

Find u' and v'

u' = 6x

v' = 8ydy/dx

Applying quotient rule

y'' = [vu' – uv'] / v²

y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²

y'' = [24xy² – 24x²ydy/dx] / 16y⁴

Recall:

dy/dx = 3x² / 4y²

y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴

y'' = [24xy² – 18x⁴/y] / 16y⁴

y'' = 1/16y⁴[24xy² – 18x⁴/y]

y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]

y'' = 1/16y⁵[(24xy³ – 18x⁴)]

y'' = 6x/16y⁵[(4y³ – 3x³)]

y'' = 3x/8y⁵[(4y³ – 3x³)]

The overtime rate of pay is K10.25.

The overtime rate of pay can be calculated by multiplying the basic rate pay by the time-and-a-quarter factor. In this case, the basic rate pay is K8.20.

To determine the overtime rate of pay, we need to calculate one-quarter (1/4) of the basic rate pay, and then add that amount to the basic rate pay. One-quarter of K8.20 is calculated as (1/4) * K8.20 = K2.05.

By adding the calculated overtime amount to the basic rate pay, we get the overtime rate of pay: K8.20 + K2.05 = K10.25.

Therefore, the overtime rate of pay is K10.25.

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The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

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

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Answer:

\(slope=-\frac{1}{3}\)

Step-by-step explanation:

To find the slope of the two points (1, -1) and (4, -2) we have to use the slope formula.

\(slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)             \(slope=\frac{(-2)- (-1)}{4 -1}\)      

\(slope=\frac{-1 }{3}=-\frac{1}{3}\)  can also be written as a decimal  \(slope=-0.333333\)

Question:

Mr. & Mrs. Martin drove 200 miles in September. They drove 2 times as many miles in November as they did in September. They drove 2 times as many miles in October as they did in November. How many miles did Mr. & Mrs. Martin drive in October?

Answer:

200 miles x 2 = 400 miles in September  400 x 2 = 800 in october

Answer:

The ball is 3.86 meters from the wall when it stops rolling.

Step-by-step explanation:

Representation of the situation:

This situation can be represented by a right triangle:

The hypotenuse is the distance the ball traveled, of 6 meters.

The distance from the wall is the side opposite to the angle of 40º.

We have that:

Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.

Sine of 40 degrees = Distance from the wall/6

Sine of 40 degrees is of 0.64278760968.

Distance = 6*0.64278760968 = 3.86.

The ball is 3.86 meters from the wall when it stops rolling.

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

53

Step-by-step explanation:

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Answer:

#21. they cant be added bc they are both to the power of __some number__  and are already being added up more than necessary and be multiplied already

#22. 3+3+3+3+3, 3x5, 5+5+5

hoped this helped let me know if it did

259.25π in² is the surface area of the cone

The surface area of a cone can be calculated using the formula SA = πr² + πrl

where r is the radius and l is the slant height.

Given that the diameter is 17 inches, the radius (r) is half of the diameter, which is 17/2 = 8.5 inches.

The slant height (l) is given as 22 inches.

Substituting these values into the formula:

Surface Area = π(8.5)² + π(8.5)(22)

= 72.25π + 187π

= 259.25π

Therefore, the surface area of the cone is 259.25π in²

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Answer:

B.

Step-by-step explanation:

its the same as saying..

4x - 3y = 9

x + 3y = 6

add both equation together

5x = 15

i.e X = 3

substitute x= 3 in equation 2

3 + 3y = 6

3y = 3

divide both sides by 3

y = 1

Answer:

A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine the number of rides tokens that can be sold for the fair to make a profit of at least $750.

Step-by-step explanation:

A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine the number of rides tokens that can be sold for the fair to make a profit of at least $750.

The location of the light bulb is (15, 0). Check the reason for the answer been (15, 0) below.

This is also known as  paraboloid or paraboloidal reflector. It is a kind of  dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc.

For the above question, the formula is:

y² = 2px

The focus is (p/2, 0)

x- 10 = u

y2 = 20u

So, the focus for U  =  ( \(\frac{20}{4}\); 0)

The focus for x =  ( \(\frac{20}{4}\); 10, 0)

= 5 , 10, 0

= (15, 0)

Therefore, the answer is (15, 0)

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The number of square meters that the space that Araceli rents is, is 30. 66 square meters.

The space that Araceli rents has a rectangular space so to find the area of the rectangular space that Araceli rents, we need to multiply the length by the width.

The given width is 4. 2 meters and the length is 7. 3 meters.

The area of the space in square meters is therefore :

Area = Length × Width

Area = 7. 3 meters × 4. 2 meters

Area = 30. 66 square meters

In conclusion, the space that Araceli rents has an area of 30. 66 square meters.

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Answer:

-6r+6

Step-by-step explanation:

Let us expand the expression:

8-(6r+2)=

8-6r-2=

6-6r

OR

-6r+6

I hope this helps! :)

Answer:

6r+6

Step-by-step explanation:

we dont know the variable's number value yet so you can't solve anything with the 6r. We use distribbutive property and solve 8-2 since the 8 is just subtracting everything in the parenthesis. 8-2=6 and you can't do anything with the 6r so the expression would end up as 6r+6.

Answer:

Step-by-step explanation:

\(h(x) = - 49x - 125\)

To find h(-67) , substitute the value of x that's - 67 into h(x). That is for every x in h(x) , replace it with - 67

We have

\(h( - 67) = - 49( - 67) + 125 \\ = 3283 - 125\)

We have the final answer as

Hope this helps you

The output value of f( -3 ) in the function f(x) = x³ + 3x + 17 is -19.

Given the function in the question:

f(x) = x³ + 3x + 17

To evaluate f(-3) for the function f(x) = x³ + 3x + 17, we simply substitute -3 for x in the expression and calculate the result.

f(x) = x³ + 3x + 17

Plug in x = -3

f(-3) = (-3)³ + 3(-3) + 17

First, let's calculate (-3)³, which means raising -3 to the power of 3:

(-3)³ = -3 × -3 × -3 = -27

Next, let's calculate 3(-3):

3(-3) = -9

Now, we can substitute these values into the expression:

f(-3) = -27 + (-9) + 17

Simplifying further:

f(-3) = -27 - 9 + 17

f(-3) = -36 + 17

f(-3) = -19

Therefore, the output value of f(-3) is -19.

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