why is it important to use standard units of measure

Answer: Happy holidays!

Answer = 320.05 (to 2 d.p)

1) The relationship between ∠2 and ∠6 is that they are alternate angles.

2) The relationship between ∠1 and ∠3 is that they are corresponding angles.

Corresponding angles are defined as the angles that are formed in  corresponding corners with the transversal when two parallel lines are intersected by any other line.

Alternate angles are defined as the angles that are formed by the intersection of a transversal and two parallel lines.

This alternate angle could either be interior alternate or exterior alternate.

1) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of alternate angles that ∠2 and ∠6 are alternate angles.

2) Since we are told that Line 1 is parallel to Line 2, then it means that from definition of corresponding angles that ∠1 and ∠3 are corresponding angles.

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Answer:

2.726

Step-by-step explanation:

This question has a lot of answers because it doesn't specify a certain w or l.

11.6*9.4=109.04

109.04*.1/4=27.26

x*y=27.26

x*10=27.26

x=2.726

any two numbers could multiply to that number.

I just used 10 and got 2.726

To solve this problem, let us first find the probability that x < y when point (x, y) is randomly selected from inside the rectangle. Then, using the area of the rectangle, normalize the probability.

The probability that x < y is 1/8.

To find the probability that x < y when a point is randomly chosen from within the rectangle. Let A be the area of the region where x < y, and B be the area of the rectangle. Then, the probability that x < y is given by P(x < y) = A/B. To find A and B, let us first look at the line x = y, which passes through (0,0) and (1,1) and separates the rectangle into two regions: Region I: The area to the right of the line x = y, where x > y. Region II: The area to the left of the line x = y, where x < y. region xy plane Region I has area B - A, and Region II has area A. Hence, B - A + A = B, which implies A/B = A/(B - A) = 1/2. Therefore, we only need to find A.

Let C be the triangle with vertices (0,0), (1,0), and (1,1). This triangle has area 1/2. Since the rectangle has height 1, the line x = y intersects the rectangle at a height of 1/2, which means that A is the area of the trapezoid with vertices (1/2, 0), (1, 0), (1, 1), and (1/2, 1/2).trapezoid xy plane. To find the area of this trapezoid, we can split it into a rectangle and a right triangle, as shown below: split trapezoid xy plane. The rectangle has base 1/2 and height 1, so its area is 1/2. The triangle has base 1/2 and height 1/2, so its area is 1/8. Hence, the area of the trapezoid is 1/2 + 1/8 = 5/8. Therefore, the probability that x < y is P(x < y) = A/B = (5/8) / 4 = 1/8.

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Answer:

lol hard!

Step-by-step explanation:

Answer:

The median is the middle number in the sequence

Step-by-step explanation:

Thomas packed 1.6 L1.6 L1, point, 6, start text, space, L, and end text of the soup in his kids' lunches and  had firmed 7100 ml of haze.

What's meant by equation?

Given that;

He made 8700 ml haze and he packed1.6 liter haze.

1 liter = 1000 milliliters

liter = 1.6 × 1000

litre = 1600 ml

Chancing the firmed haze-

8700 ml- 1600 ml

7100 ml.

Hence

Frozen haze = 7100 milliliters.

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Answer:

wrong I think it's A

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 100% answer D

Step-by-step explanation:

Pythagoras Theorm

Answer:

I have no idea

Step-by-step explanation:

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

Answer: Jane

Step-by-step explanation: Because Tom only used 13% and Lisa used .6 pounds. So Jane would have the highest % used.

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Answer:

7867867867878678

Step-by-step explanation:

uyityuityuituityuityuityui

Answer: -2

Step-by-step explanation:

There are 2 ways to solve this.

Solution 1:

5(x + 6) = 20                  >Distribute 5

5x +30 = 20                   > Subtract 30 from both sides

5x = -10                          >Divide both sides by 5

x =  -2

Solution 2:

5(x + 6) = 20                 >  Divide both sides by 5

x + 6 = 4                       > Subtact 6 from both sides

x =  -2

Music us enjoy to --- and said aaaa

The mathematical concepts used to calculate insurance premiums include probability, actuarial science, risk assessment, pricing models, financial models, and statistical analysis.

Probability:

To calculate premiums, insurance companies use statistical data to determine the likelihood of a claim occurring. Probability is used to estimate the likelihood of certain events happening, such as accidents, illnesses, or natural disasters, and to determine the likelihood of a claim being made.

Actuarial Science:

Actuarial science is the application of mathematical and statistical methods to assess risk and uncertainty in insurance, finance, and other industries. Actuaries use mathematical models to analyze data and make predictions about future events, which is crucial in determining insurance premiums.

Risk Assessment:

Insurance companies use risk assessment to determine the level of risk associated with insuring a particular individual or group. Factors such as age, health, occupation, and location are considered when assessing risk, and premiums are adjusted accordingly.

Pricing models:

Pricing models are used to determine the cost of insurance based on the perceived level of risk. Pricing models like Loss Ratio, Pure Premium, and Captive pricing are used to arrive at the insurance premium.

Financial Models:

Financial models are used to determine the long-term financial stability of an insurance company and to ensure that the company has enough funds to pay out claims. Actuaries use financial models to calculate the amount of money an insurance company needs to set aside in order to pay claims and to determine the long-term financial health of the company.

Statistical Analysis:

Insurance companies use statistical analysis to evaluate data on claims and losses, and to identify patterns that can be used to predict future claims and losses. This analysis is used to identify trends in claims, to identify high-risk groups, and to set premiums.

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Answer:

Measure of ladder is 11 m

Step-by-step explanation:

Here, we want to calculate the length of the ladder

From the description in the question, we have a right angled triangle with the length of the ladder forming the hypotenuse, which is the longest side of the triangle

So the height at which the top of the ladder is from the ground is 9 m

Thus mathematically;

we use the sine trigonometric tattoo to get the length of the ladder

sine = length of opposite/length of hypotenuse

sine 58 = 9/h

h = 9/sin 58

h = 10.612 meters

which to the nearest integer is 11 m

Answer:  y = (-4/3)*sqrt(2/3)

This is the same as writing \(y = -\frac{4}{3}\sqrt{\frac{2}{3}}\)

============================================================

Explanation:

The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.

Your teacher has given you

y = x^3 - 2x

which differentiates into

dy/dx = 3x^2 - 2

after using the power rule

The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.

dy/dx = 0

3x^2 - 2 = 0

3x^2 = 2

x^2 = 2/3

x = sqrt(2/3)

Notice how I'm ignoring the negative version of this root. This is due to the fact that \(x \ge 0\)

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

Now plug this x value back into the original equation to find its corresponding y coordinate.

y = x^3 - 2x

y = x(x^2 - 2)

y = sqrt(2/3)*( 2/3 - 2 )

y = sqrt(2/3)*( -4/3 )

y = (-4/3)*sqrt(2/3)

Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.

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

Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)

All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).

Finding f(g(x)), g (f(x)), f(f(x)), g (g(x)) is g(g(x))=2g²(x)-4=2(2x²-4)²-4=16x⁴-64x²+28. The inverses of the functions: f(x) = -2x¹-2; g(x) = x-3 X+2 is  x+2/x-6.

a)Given that: f(x) = 3x + 2; g(x) = 2x²-4;

Now, to find: f(g(x))

We substitute g(x) in the place of x in f(x) to get: f(g(x))=3g(x)+2=3(2x²-4)+2=6x²-10g(f(x))

Substituting f(x) in the place of x in g(x) to get: g(f(x))=2f²(x)-4=2(3x+2)²-4=18x²+24x+4f(f(x))

Substituting f(x) in the place of x in f(x) to get: f(f(x))=3f(x)+2=3(3x+2)+2=9x+8g(g(x))

Substituting g(x) in the place of x in g(x) to get: g(g(x))=2g²(x)-4=2(2x²-4)²-4=16x⁴-64x²+28

b)To find the inverse of f(x) = -2x¹-2

Substituting y in the place of f(x) to get: y=-2x-2

Making x the subject of the formula: y+2=-2x

Dividing the whole equation by -2 and changing the places of y and x: f⁻¹(x) = -(x+2)

To find the inverse of g(x) = x-3 X+2

Substituting y in the place of g(x) to get: y=x-3 x+2

Making x the subject of the formula: y(x+2)=x+6x=y+2y-6

Substituting x in the place of y: f⁻¹(x) = x+2/x-6

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A quantitative variable x is a "Random Variable" if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is one with an unknown value or a function which assigns qualities to each of the outcomes of an experiment.

Some key features regarding the Random Variable are-

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Therefore, it can be seen that the CIA profit/loss is $111,878.

Borrow $4 million in USD at the 4-month interest rate of 2.9%.

Convert the USD to CAD at the spot rate of 1.278 CAD/USD.

Invest the CAD in a 4-month Canadian deposit account at the 4.7% interest rate.

Sell the CAD forward at the 4-month forward rate of 1.2902 CAD/USD.

After 4 months, repay the USD loan and settle the forward contract.

The profit/loss from the CIA strategy is calculated as follows:

Profit/loss = (Interest earned on CAD deposit - Interest paid on USD loan) - (Forward rate - Spot rate)

In this case, the profit/loss is calculated as follows:

Profit/loss = (0.047 * 4,000,000 - 0.029 * 4,000,000) - (1.2902 - 1.278)

= $112,000 - $0.12

= $111,878

Therefore, the CIA profit/loss is $111,878.

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Answer:

3/4 AND 4/5 are greater than 11/20

Step-by-step explanation:

multiply 3/4 by 5 and u get 15/20

milptiply 4/5 by 4 and u get 16/20

your finding the LCM and LCD

Answer:

She is correct. The remaining angle of the triangle measures less than 90 degrees

Step-by-step explanation:

Edgunity

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

Acute angles are angles that measures less than 90 degrees.  

Triangle DEF contains 2 congruent  acute angles. This means each of those 2 acute angles in the triangle are less than 90 degrees.

The sum of the measure of the two congruent acute angles is greater than 90 degrees.

Therefore,

let

∠D and ∠E be the acute angles.

∠D + ∠E > 90°

An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

The sum of angles of a triangle is 180 degrees.

Since ∠D + ∠E > 90°, then ∠F must be less than 90 degrees.

This simply means the triangle is an acute-angled triangle. Therefore,

Anna is correct.

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Answer:

Where is the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that these triangles both have equal sides... that is given that ab and be are the same length.   and that be and cd are parallel , we know that they both are isosceles triangles and that the base angles are the same.  The side on ad and ae  have equal angles.

so we can make the equation

2a +56 = 180  (b/c we know that around a triangle it's 180°

2 a = 124

a = 62

so ∠ BAE = 62°

:)

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

The length of the curve is approximately 13.82.

To find the length of the given curve r(t) = 5i + 2t²j + 3t³k, 0 ≤ t ≤ 1, we can use the formula for arc length. The formula to calculate arc length is:

L = ∫[a,b] √((dx/dt)² + (dy/dt)² + (dz/dt)²) dt

Here, r(t) = 5i + 2t²j + 3t³k. Taking the derivative of the function r(t), we get:

r'(t) = 0i + 4tj + 9t²k

Simplifying the derivative, we have:

r'(t) = 4tj + 9t²k

Therefore,

dx/dt = 0

dy/dt = 4t

dz/dt = 9t²

Now, we can find the length of the curve by using the formula mentioned above:

L = ∫[0,1] √(0² + (4t)² + (9t²)²) dt

= ∫[0,1] √(16t² + 81t⁴) dt

= ∫[0,1] t√(16 + 81t²) dt

Substituting u = 16 + 81t², du = 162t dt, we have:

L = ∫[0,1] (√u/9) (du/18t)

= (1/18) (1/9) (2/3) [16 + 81t²]^(3/2) |[0,1]

= (1/27) [97^(3/2) - 16^(3/2)]

≈ 13.82

Therefore, the length of the curve is approximately 13.82.

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Answer:

\((C) \ a=\frac{1}{b}.\)

Step-by-step explanation:

(a+b)²=a²+b²+2;

a²+2ab+b²=a²+b²+2;

2ab=2;

ab=1