A room has a triangular flag with a height of 40 cm and a base of 20 cm. What is the formula to find the area of the flag?

YES! If you have to pay within ten days you can pay at any time WITHIN those ten days, just no longer than that. So yes you may pay on July 31st.

Answer:

yes

Step-by-step explanation:

that's hard but you'll figure it out so don't worry

C is the most accurate one i guess

Answer:

x over 2

Step-by-step explanation:

Answer:

b 4 Lee's than 3 times Mary's age is 3x-4

Answer:

3x -4

Step-by-step explanation:

we know this because Charlenes age is - 4 than Marys age.

Now, how much is that something? 3x

3x -4

At   x= 1,  function has a relative maximum.

To find the relative maxima of the function f(x),

we have to find the critical points of f(x) and then test the behavior of the function around those critical points.

The critical points of f(x) are the points at which the derivative of the function is equal to zero or undefined.

In this case, the derivative of the function f(x) is given by,

⇒f′(x) = (x-1)(x-2)(x-3).

So, the critical points are x=1, x=2, and x=3.

To test the behavior of the function around these critical points,

Use the first derivative test.

If the derivative of the function changes sign from positive to negative at a critical point,

Then the function has a relative maximum at that point.

If the derivative changes sign from negative to positive, the function has a relative minimum.

Using this test,

We can see that f(x) has a relative maximum at x=1 and a relative minimum at x=2.

And there is no relative maximum or minimum at x=3 as the sign of f′(x) does not change around this point.

Hence, relative maximum at x=1.

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Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Analyst can measure this through cor()function

What is Function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Concept:

The R language's cor() function is used to calculate the correlation coefficient between two vectors.

Finding the correlation between the two equities is one method of capturing this type of interaction. Using a value between -1 and 1, correlation is a measure of association between two items, in this case, stock prices. A perfect correlation of 1 indicates a positive correlation, a perfect correlation of -1 indicates a negative correlation, and a perfect correlation of 0 indicates independent stock movement. Understanding how to compute correlation in R is helpful because it is a common metric in finance.

When given a matrix, the cor() function creates a correlation matrix or determines the correlation between two vectors.

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The equation of the vectors are

35. y = (-1/2)x + 2

36. y = (1/2)x + 5/2

37. y = 2x + 3

38. y = (2/3)x - 52/3

Exercise 35:

P(2, 1)

v = i + 2j

To find the equation of the line passing through P and perpendicular to v, we need to determine the slope of the line. The slope of a line perpendicular to a vector is the negative reciprocal of the slope of the vector.

The vector v = i + 2j has a slope of 2/1 = 2. The negative reciprocal of 2 is -1/2. Therefore, the slope of the line perpendicular to v is -1/2.

Using the point-slope form of a line, we can write the equation of the line passing through P as follows:

y - y₁ = m(x - x₁)

Substituting the values of P(2, 1) and the slope (-1/2), we get:

y - 1 = (-1/2)(x - 2)

Simplifying the equation, we have:

y - 1 = (-1/2)x + 1

y = (-1/2)x + 2

Exercise 36:

P(-1, 2)

v = -2i - j

The slope of the vector v = -2/1 = -2. The negative reciprocal of -2 is 1/2.

Using the point-slope form, we can write the equation of the line passing through P(-1, 2) as:

y - 2 = (1/2)(x + 1)

Simplifying the equation, we have:

y - 2 = (1/2)x + 1/2

y = (1/2)x + 5/2

Exercise 37:

P(-2, -7)

v = -2i + j

The slope of the vector v = 1/(-2) = -1/2. The negative reciprocal of -1/2 is 2.

Using the point-slope form, the equation of the line passing through P(-2, -7) is:

y - (-7) = 2(x - (-2))

Simplifying the equation, we have:

y + 7 = 2(x + 2)

y = 2x + 3

Exercise 38:

P(11, 10)

v = 2i - 3j

The slope of the vector v = -3/2. The negative reciprocal of -3/2 is 2/3.

Using the point-slope form, the equation of the line passing through P(11, 10) is:

y - 10 = (2/3)(x - 11)

Simplifying the equation, we have:

y - 10 = (2/3)x - 22/3

y = (2/3)x - 52/3

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Complete Question:

In Exercises 35–38, find an equation for the line through P perpendicular to v. Then sketch the line. Include v in your sketch as a vector starting at the origin.

35. P(2, 1), v = i + 2j

36. P(-1, 2), v =-2i - j

37. P(-2, -7), v =-2i + j

38. P(11, 10), v = 2i - 3j.

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

When x³-2x^2-15x is factored completely, one of the factors is x-5.

To factor the expression, we can use the method of grouping. We can rewrite the expression as follows:

x³-2x^2-15x = (x³-2x^2) - 15x

We can then factor the first two terms using the difference of squares:

x³-2x^2-15x = (x-2)(x^2+2x) - 15x

We can then factor the last term using the difference of squares:

x³-2x^2-15x = (x-2)(x^2+2x) - (5)(3x)

Then, we can combine the two factors to get the final answer:

x³-2x^2-15x = (x-5)(x^2+2x-3x)

The final factorization is:

x³-2x^2-15x = (x-5)(x^2-x)

So, the correct answer is (A) x-5.

The z-score of an appliance that stopped working at 64 months is 2.

The mean of observations is equal to the ratio of sum of all the observations and the number of observations.

Given, the set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months

The z-score is then calculated as

z = x - μ /σ

For an appliance that stopped working at 64 months, we have

x = 64

On substituting the values, we get

z = 64-48/8

z = 2

Hence, the z-score of an appliance that stopped working at 64 months is 2

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Answer:

D on edge

Step-by-step explanation:

2

Answer:

$44

Step-by-step explanation:

Answer:

1. 2x+4

2.2x-3

3.4x

4.3x-4

Step-by-step explanation:

\( log_{x}(16) = 2 \\ 16 = {4}^{2} \\ x = 4\)

Here are a few reasons why researchers exercise caution when interpreting statistical significance: Avoiding Type I and Type II errors, Generalizability, Replicability, Methodological limitations.

Researchers are careful about drawing conclusions regarding statistical significance because statistical significance is a measure of the likelihood that the observed results are not due to random chance. When conducting research, researchers aim to make inferences and draw conclusions based on evidence that is reliable and valid.

Here are a few reasons why researchers exercise caution when interpreting statistical significance: Avoiding Type I and Type II errors, Generalizability, Replicability, Methodological limitations.

Avoiding Type I and Type II errors: When testing hypotheses, there is always a possibility of making errors. Type I error occurs when a researcher mistakenly rejects a true null hypothesis (false positive), and Type II error occurs when a researcher fails to reject a false null hypothesis (false negative). By being cautious, researchers strive to minimize these errors and ensure that their conclusions are accurate.

Generalizability: Researchers often want to generalize their findings from a sample to a larger population. Statistical significance provides an indication of how likely the findings can be applied to the broader population. Drawing conclusions without considering statistical significance may lead to misleading or unreliable generalizations.

Replicability: Scientific research should be replicable, meaning that other researchers should be able to obtain similar results when conducting the same study. Statistical significance helps assess whether the observed effects are consistent and reproducible across different studies. Without proper consideration of statistical significance, it becomes difficult to determine if the results can be replicated reliably.

Methodological limitations: Research studies can have various limitations such as small sample sizes, confounding factors, measurement errors, or biases. By carefully assessing statistical significance, researchers can better understand the limitations of their study and make more informed conclusions.

In summary, researchers are cautious about drawing conclusions regarding statistical significance to ensure the validity, reliability, generalizability, and replicability of their findings. By exercising care in interpreting statistical significance, researchers aim to make robust and trustworthy conclusions based on the available evidence.

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Answer:

x<7, The third option

Step-by-step explanation:

-1.1x+6.4>-1.3

We are trying to isolate x so we can move all the constant to one side.

-1.1x>-1.3-6.4

-1.1x>-7.7

Lastly, we need to divide both sides by -1.1.

-1.1x>-7.7/-1.1

Note that if you multiply or divide both sides of an inequality by a negative, then you need to flip the sign.

x<7

Hope this helps :)

Answer:

I believe it is the third option. It is really hard to explain. Lots of workout and I don't have enough time for it nut it is the third option...

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

Answer:

Statistical Questions:  1 and 3  

NOT Statistical Questions:  2 and 4

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.

For example, "How many minutes do 6th grade students typically spend on homework each week?" is a statistical question.

To find the derivative of f(z) = 10√(825 + 5210) using the chain rule, we start by applying the chain rule to the square root function. We then differentiate the expression inside the square root, treating it as a composite function.

Finally, we simplify the derivative to obtain the final result.

The given function is\(f(z) = 10√(825 + 5210).\)

To find its derivative, we apply the chain rule. Let's define g(x) = √x, where\(x = 825 + 5210.\)

The derivative of g(x) with respect to x is \(g'(x) = (1/2√x)\).

Now, we differentiate the expression inside the square root, treating it as a composite function:

\(f'(z) = g'(825 + 5210) * (825 + 5210)'.\)

The derivative of (825 + 5210) is zero, as it is a constant.

Substituting the values back into the expression, we have:

\(f'(z) = (1/2√(825 + 5210)) * 0.\)

Simplifying further, we get:

\(f'(z) = 0.\)

Therefore, the derivative of \(f(z) = 10√(825 + 5210) is f'(z) = 0.\)

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Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

\(\tan \theta = \dfrac{Opposite}{Adjacent}\)

In the given triangle,

\(\tan (30^\circ) = \dfrac{x}{7}\)

\(\dfrac{1}{\sqrt{3}}=\dfrac{x}{7}\)

On multiplying both sides by 7, we get

\(\dfrac{7}{\sqrt{3}}=x\)

Therefore, the value of x is \(x=\dfrac{7}{\sqrt{3}}\).

Tire pressure can have a significant impact on a truck's miles per gallon, and it is critical to maintain the correct tire pressure to optimize performance.

The tire air pressure has an impact on fuel consumption as well as the miles that can be traveled.  As the air pressure in the tire goes down, the rolling resistance increases.

As a result, the engine must work harder to move the truck down the road, resulting in a reduction in miles per gallon (mpg).

Conversely, if the tire pressure is too high, the ride may become less comfortable and the tire may wear unevenly. Over-inflated tires, like under-inflated tires, can have a negative impact on fuel economy.

The optimal tire pressure is one that provides the best overall performance.

The optimal tire pressure varies from one vehicle to the next. It is important to check the owner's manual or sticker in the door jamb for the correct tire pressure. There are a few general guidelines, though.

Tire pressure should be checked at least once a month. It is critical to do this when the tires are cold, which means that the vehicle has been parked for at least 3 hours or has been driven for less than a mile at low speeds.

In the case of a heavy-duty truck like the one in the question, the optimal tire pressure will depend on the weight of the vehicle, the distance traveled, and the nature of the load.

In summary, tire pressure can have a significant impact on a truck's miles per gallon, and it is critical to maintain the correct tire pressure to optimize performance.

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The currents in the circuit are:

To find the currents I and I₂ in the given circuit, we can use Ohm's Law and apply Kirchhoff's laws.

Let's analyze the circuit step by step:

Start by calculating the total resistance (R_total) in the circuit.

R_total = 1Ω + 72Ω + 3Ω + 1Ω

= 77Ω

Apply Ohm's Law to find the total current (I_total) flowing in the circuit.

I_total = V_total / R_total

= 9V / 77Ω

Now, let's analyze the currents in each branch of the circuit:

The current I₁ through the 1Ω resistor can be found using Ohm's Law:

I₁ = V / R = 9V / 1Ω

The current I₂ through the 72Ω resistor can be found using Ohm's Law:

I₂ = V / R = 9V / 72Ω

The current I₃ through the 3Ω resistor can be found using Ohm's Law:

I₃ = V / R = 9V / 3Ω

Finally, we need to determine the current I flowing in the circuit.

Since the 1Ω resistors are in parallel, the current splits between them.

We can use Kirchhoff's current law to find I:

I = I₁ + I₃

Therefore, the currents in the circuit are:

I = I₁ + I₃ = (9V / 1Ω) + (9V / 3Ω)

I₂ = 9V / 72Ω

Your question is incomplete but most porbably your full question attached below

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Answer:

$26.80/shoe

Step-by-step explanation:

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

For the first initial value problem, the solution is y(t) = (3/2)te^(-2t) + (1/5)cos(t) - (3/10)sin(t). The second initial value problem has the solution y(t) = -(1/5)e^(-t) + (1/5)e^(1/t).

For the first initial value problem, we can solve it using the method of integrating factors. Multiply the entire differential equation by the integrating factor, which is e^(∫2t dt) = e^(t^2). This transforms the equation into (te^(t^2))y' + 2(te^(t^2))y = sin(t)e^(t^2). By integrating both sides, we get the general solution: y(t) = (3/2)te^(-2t) + (1/5)cos(t) - (3/10)sin(t). Plugging in the initial condition y(pi/2) = 3, we can determine the specific solution.

For the second initial value problem, we can rewrite the equation as (t^3)y' + 4(t^2)y = e^(-t)/t. This is a linear first-order ordinary differential equation. By multiplying through by the integrating factor t^(-4), the equation becomes d/dt(t^(-4)y) = -t^(-5)e^(-t). Integrating both sides and applying the initial condition y(-1) = 0, we can solve for the specific solution y(t) = -(1/5)e^(-t) + (1/5)e^(1/t). Note that for t < 0, the term e^(1/t) is not defined as it approaches infinity as t approaches 0 from the left.

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Answer: $1,040

Step-by-step explanation:

52 weeks in a year

52x 10= 520

520x 2(for the years)= 1,040

Answer:

1,040$

Step-by-step explanation:

52 weeks in each year

52 x 2 is 104.

104 x 10 is 1,040.