Evaluate e the indefinite integrat |(452 + 9 dx. (Use for the constant of integration. Remember to use absolute Values where appropriate)

Answer:

Rounded, 22 yards.

Step-by-step explanation:

The pythagorean theorem states: a^2 + b^2 = c^2

a = 34, squared = 1156

b = 41, squared = 1681

Add those to get 2837.

√2837 = 53.26, rounded.

34 + 41 = 75

75 - 53 = 22

22 yards is your answer.

Answer:

A ≈ 55.6 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

central angle of shaded region = 360° - 230° = 130° , then

A = πr² × \(\frac{130}{360}\)

   = π × 7² × \(\frac{13}{36}\)

   = 3.14 × 49 × \(\frac{13}{36}\)

   ≈ 55.6 cm° ( to the nearest tenth )

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

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Answer:

3:15

Step-by-step explanation:

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

(a) The graph given is a straight line that passes through (0, 40) and (10, 240).

The constant rate of change is equivalent to the the slope of the line given as,

⇒ (240 - 40)/(10 - 0) = 20

(b) The initial value of the graph is given as the y-intercept of the line.

Which is given as 40.

It might represent the fixed cost.

Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.

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The missing graph is attached here.

The value of the collection originally was $1,000,000

What was the original value of the collection?

The original value of the collection is not known, hence, it is represented by X

The increase in value by $50,000 means that the value is X+$50,000

Now, when the error was discovered, it is now worth half of the  value previously

The new value is (X+$50,000)*0.5

New value=(X+$50,000)*0.5

The new value at this point is $525,000

$525,000=(X+$50,000)*0.5

$525,000/0.5=X+$50,000

$1,050,000=X+$50,000

X=$1,050,000-$50,000

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Answer:

commutative

Step-by-step explanation:

im pretty sure this is correct but sorry if im wrong

Answer: x=16/17

Step-by-step explanation: 56=34x+24 34x+24−24=56−24 34x/34=32/34/2/2

x=16/17

Answer: x = 16/17 another way to check if you're right is to go to a website that I use and type in your question I will put a picture of the website since this thing won't let me type out the website

Answer:

            - reflected across the x-axis

            - vertically scaled by a factor of 6

            - translated 5 units to the left

            - translated 2 units down

Answer:

\(10706.55\)

Step-by-step explanation:

From this starting equation \(521*411= 2*10n\)

We can multiply both sides to simplify it:

\(214131= 20n\)

Then dividing both sides by 20, we get n:

\(\frac{214131}{20}=n = 10706.55\)

the polar coordinates are:

(√130, 285.3°)

For rectangular coordinates (x, y), the polar coordinates are:

\(R = \sqrt{x^2 + y^2}\)

For the angle θ we need to notice that if both coordinates are negative, like in this case, we would be on the fourth quadrant, then:

θ = arctan(y/x) + 270°

In this case, we have:

x = -11

y = -3

Then:

\(R = \sqrt{(-11)^2 + (-3)^2} = \sqrt{130} \\\\\theta = arctan(-3/-11) + 270\° = 285.3\°\)

Then the polar coordinates are:

(√130, 285.3°)

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Answer:

c=children

a=adult

total amount=1.5c+4a

5050=1.5c+4*1000

1.5c=1050

c=700 childrens

Step-by-step explanation:

Answer:

A The area of the large pond is 16 times the area of the small pond.

Step-by-step explanation:

Small pond for theradius to

statements.

In this case

•- A : 41T -7 you can I'm using 2.

✓

Large Pond '

A- = ITCH.

2)Z pi . (t)

"

a- it 82 530 Divide

A = 64 IT we are looking

for " how many

times

larger.

"

Answer:

T-statistic

Step-by-step explanation:

As the sample size is less than 30, the t-statistic is the more appropriate test statistic. If it were greater than 30, then the t-statistic distribution and normal distribution would be indistinguishable, making the z-statistic a more preferable choice.

a collection of 65 coins contains one with two heads. the remainder of the coins are fair. if a coin, selected randomly from the collection, turns up heads 6 times in 6 tosses, 1/65 is the probability it’s a two-headed coin

Definition of probability

(1) : the chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

We know that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.

We calculate  the number of possible combinations:

C₁⁶⁵= 65!/1!(65-1)!

     = 65

Number of favorable combinations is 1.

Therefore, the probability is

P=1/65.

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Answer:

d

Step-by-step explanation:

because it needs a period to complete the thought?

So, Jemma gave away 0.30 percent and also gave 0.25 away all we have to do is add these two percents and we have our answer!

0.30% + 0.25% =

0.30 plus 0.25 equals to 0.0055 so you get your answer 0.0055!

An equation of a line passing through the given point P(-4, 1) and having the given slope m = -1. So the standard form is x + y + 3 = 0.

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. The standard form is Ax + By = C, where A, B, and C are constants.

The point is P(-4,1) and slope m = -1.

Now, we need to find the equation of the line using slope-intercept form.

To find the slope-intercept form, we know that:

y = mx + b

Where

y is the y-coordinate,

x is the x-coordinate,

m is the slope and

b is the y-intercept

We have m = -1, and we can substitute P(-4,1) as x = -4, y = 1 and solve for b.

So,

⇒ 1 = -1 (-4) + b

⇒ 1 = 4 + b

⇒ b = -3

So, we have y = -x - 3 in slope-intercept form

To express it in standard form, we need to rearrange the above equation in the form Ax + By = C.

Here, A, B and C are integers with no common factors other than 1.

Let's rearrange it to get standard form:

Adding x to both sides, we get

x + y + 3 = 0

Therefore, the equation of the line passing through P(-4,1) with slope m = -1 is x + y + 3 = 0 in standard form.

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The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Answer:

$1.05

Step-by-step explanation:

$.6 × 1.75 = 1.05$

Answer:

uk = 67

europe = 84

USA = 82

Africa = 69

other = 58

Step-by-step explanation:

Answer:

1.1 dollar is unit price per 100grams

The proof that ∠FCB≅∠DCE is shown below

Given that AECF is a rhombus, opposite angles of the rhombus are congruent.

This is represented as

∠EAF = ∠ECF

Also, given that EB ≅ FD, we can conclude that:

∠EBF = ∠DFC

This is by the definition of congruent segments having equal corresponding angles

Add the angles

∠CEB + ∠EBF = ∠CEB + ∠DFC = 180°

Recall that

Since ∠CEB = ∠AEF

So, we have:

∠AEF + ∠EBF = ∠AEF + ∠DFC = 180°

Hence, ∠FCB=∠DCE.

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Answer:

262

Step-by-step explanation:

Answer:

CGF=262

Step-by-step explanation:

it’s A

Answer:

  (x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

  2y = 2

  y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

  0 = 6x -12

  0 = x -2 . . . . divide by 6

  2 = x

The solution is (x, y) = (2, 1).

__

The attached graph verifies this solution.

Answer:

\(m\angle1=2^\circ\\m\angle2=88^\circ\)

Step-by-step explanation:

As both angles are complementary, meaning they add up to 90°, we can simply solve for x using this sum and find each individual angle measure:

\(m\angle1+m\angle2=90^\circ\\(x-9)^\circ+(8x)^\circ=90^\circ\\x-9+8x=90\\9x-9=90\\9x=99\\x=11\\\\m\angle1=(x-9)^\circ=(11-9)^\circ=2^\circ\\m\angle2=(8x)^\circ=(8\cdot11)^\circ=88^\circ\)