Calculate the size of the marked angles

In an apple orchard, the density of planting determines how many of apples a single tree will produce.  An illustration of this is Y=X².

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The values under and inside the radical is 4 and 129 respectively

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.

A quadratic equation is given as ax²+ bx+ c=0

this can be solved using formula x=( -b±√b²-4ac)/2a.

in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0

a= 2, b= -7 and c= -10

x= -(-7)±√(-7)²-4×2×-10)/2×2

x= 7±√49+80)/4

x= 7/4 ± √129/4

therefore the values inside and under the radical is 129 and 4

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Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

------------------------------

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

Answer:

1 or D

Step-by-step explanation:

12−(3)(3)−2

=12−9−2

=3−2

=1

Answer:

1 Or D for my lazy folks!

Step-by-step explanation:

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Answer:

  5.5 cm

Step-by-step explanation:

You want the inside diameter of a conduit with an outside diameter of 6.3 cm and a wall thickness of 0.4 cm.

There is a wall at each end of the inner diameter, so it will differ from the outside diameter by twice the wall thickness:

  6.3 cm - 2×0.4 cm = 5.5 cm

The inside diameter is 5.5 cm.

Answer:

your supposed to add 1 to 12 , and then 3 to 2 or vice versa

Step-by-step explanation:

We need to find the option that would best be represented by positive 32 (+32).

So we need to find which of the options represents a positive change in the amount.

In option A we have a decrease of speed by 32 miles per hour. Since this is a decrease, it cannot be represented by positive 32, instead, this option will be represented by negative 32.

In options C and D we have something similar to A, a decrease in amount, so those cannot be the right option.

In option B, however, we have an addition of 32 books to a library. Since this is an increase in the number of books, this is the option that would best be repeated by positive 32.

Answer: Option B. Adding 32 books to a library.

The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

The volume of the figures are

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

V = 22/7 * (32/2)² * 14

Evaluate

Volume = 11264

The cylinder

The volume is calculated as

V = πr²h

Where

r = Radius

h = Height

So, we have

(2r)² = 40² - 32²

(2r)² = 576

So, we have

r = 12

So, we have

V = 22/7 * (12)² * 32

Evaluate

Volume = 14482.28

The rectangular prism

The volume is calculated as

V = lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 8 * 12 * 39

Evaluate

Volume = 3744

The triangular prism

The volume is calculated as

V = 1/2lwh

Where

l = Length

w = Width

h = Height

So, we have

V = 1/2 * 11 * 5.4 * 16

Evaluate

Volume = 475.2

The sphere

The volume is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * (33/2)³

Evaluate

Volume = 18824.14

The sphere

The volume of a sphere is calculated as

V = 4/3πr³

Where

r = Radius

So, we have

V = 4/3 * 22/7 * 2.8³

Evaluate

Volume = 91.99

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Answer:

A

Step-by-step explanation:

If you work the equations, you will find -10 -2=-8

4 +2 =6

Answer:

x=2

Step-by-step explanation:

5x +(3-1) =12

5x +2 =12

5x =12-2

5x =10

x =10÷5

x =2

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

The cattle train's average speed is 10 kmph.

It is required to find the the cattle train's average speed.

Average speed is defined as the total distance travelled by the body in total time i.e. Average Speed=Total distance /Total time. It is a scalar quantity. Its unit is m/s.

Given:

Let x = speed of the cattle train

Write a distance equation;

distance = speed * time

we know when the two trains will have traveled the same distance.

We know from the given information that the cattle train will have been traveling for 14 + 4 = 18 hrs

Cattle distance = diesel distance

18x = 4*45

:

18x = 180

x = 180/18

x = 10 kmph is the speed of the cattle train

Therefore, the cattle train's average speed is 10 kmph.

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Step-by-step explanation:

Mia want to buy 3 notebook for $1.29 each ,

then total cost =3×1.29

hence, 3×29

1\6+1/12+2/6=2+1+4/12

=7/12

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

To tell whether two lines are parallel or perpendicular, look at their slopes.  

Parallel lines will have the same slope.  This isn't the case since the first line has a slope of 1 and the second has a slope of -1.

Perpendicular line have slopes that are negative inverses of the other.  This also isn't the case for these two lines.  Although the slopes have opposite signs, the numbers aren't inverses.

The two lines are neither parallel nor perpendicular.

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

1.

Step-by-step explanation:

1) if the ratio is 4:5, then the number of nickels is 60, the number of dimes is 75 (it is calculated from the equation 4x+5x=135);

2) the mass of all the nickels is 60*5=300 [gr], the mass of all the dimes is 75*2.3=172.5 [gr]. Then the mass of all the coins is 172.5+300=472.5 [gr].

3) if 1000 [gr] is 2.2 [pnd], then 472.5 [gr] is 1.0395 [pnds], it approximately is 1 pound.

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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Answer:

JEWS = LIES

BLACK PPL(LIKE ME) =TRUTH

:}

Step-by-step explanation:

Finding an explicit solution for the differential equation \(dy/dx = sin(\sqrt x)/\sqrt y\) is not possible using standard techniques of integration or substitution.

A separable differential equation is one in which the variables x and y can be separated, meaning that the equation can be written in the form f(x) dx = g(y) dy. This type of equation can be easily solved by integrating both sides and finding the constant of integration. However, in the equation dy/dx = sin(√x)/√y, the sin function makes it a nonlinear differential equation, meaning that it cannot be separated into a product of two functions, one of x and one of y.

This type of differential equation cannot be solved using standard methods and requires more advanced techniques, such as numerical methods or perturbation methods. Numerical methods, such as Runge-Kutta or finite differences, involve approximating the solution at discrete points and then using interpolation to find the solution over a continuous interval. Perturbation methods involve making a series expansion of the solution and finding the coefficients of the series recursively.

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A numerical value for the acceleration due to gravity g on straigh line = 8.665

What is Straight Line?

Simply put, a straight line is a line devoid of bends. A straight line is one that has no curves and continues to infinity on both sides.

we need a table calculation for that see the attachment 1

vertical  axis = l cm

horizontal axis = T²(sec²)

slope from the graph

= l/T²

= 0.2197

So, g = 4 T² * l /T²

= 4 * (3.14)² * 0.2147

g = 8.6646

g = 8.665 m/sec²

The acceleration caused by gravity is expressed numerically as g on a straight line = 8.665.

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Answer:

  see attached for a graph

Step-by-step explanation:

When g(x) is transformed to

  f(x) = f(x -h) +k

The graph of g(x) is translated h units right and k units up.

__

Here, the function g(x) = x^2 is transformed to ...

  f(x) = g(x -3) +12 = (x -3)^2 +12

Then the graph of f(x) is the graph of g(x)=x^2 translated 3 units right and 12 units up.

Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)

Answer:

\(\frac{8}{5}\)

Step-by-step explanation:

Given

7.2 : 4.5 ← multiply both parts by 10

= 72 : 45 ← divide both parts by 9

= 8 : 5

= \(\frac{8}{5}\)

Answer:

Step-by-step explanation:

Given that;

the following procedure for accomplishing our task are:

1. Flip the coin.

2. Flip the coin again.

From here will know that the coin is first flipped twice

3. If both flips land on heads or both land on tails, it implies that we return to step 1 to start again. this makes the flip to be insignificant since both flips land on heads or both land on tails

But if the outcomes of the two flip are different i.e they did not land on both heads or both did not land on tails , then we will consider such an outcome.

Let the probability of head = p

so P(head) = p

the probability of tail be = (1 - p)

This kind of probability follows a conditional distribution and the probability  of getting heads is :

\(P( \{Tails, Heads\})|\{Tails, Heads,( Heads ,Tails)\})\)

\(= \dfrac{P( \{Tails, Heads\}) \cap \{Tails, Heads,( Heads ,Tails)\})}{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)

\(= \dfrac{P( \{Tails, Heads\}) }{ {P( \{Tails, Heads,( Heads ,Tails)\}}}\)

\(= \dfrac{P( \{Tails, Heads\}) } { {P( Tails, Heads) +P( Heads ,Tails)}}\)

\(=\dfrac{(1-p)*p}{(1-p)*p+p*(1-p)}\)

\(=\dfrac{(1-p)*p}{2(1-p)*p}\)

\(=\dfrac{1}{2}\)

Thus; the probability of getting heads is \(\dfrac{1}{2}\) which typically implies that the coin is fair

(b) Could we use a simpler procedure that continues to flip the coin until the last two flips are different and then lets the result be the outcome of the final flip?

For a fair coin (0<p<1) , it's certain that both heads and tails at the end of the flip.

The procedure that is talked about in (b) illustrates that the procedure gives head if and only if the first flip comes out tail with probability 1 - p.

Likewise , the procedure gives tail if and and only if the first flip comes out head with probability of  p.

In essence, NO, procedure (b) does not give a fair coin flip outcome.