find the value of 40% of 1KM (in m)​

moving the decimal to the left makes the number smaller

hope this helps! ❁´◡`❁

Answer:

115

Step-by-step explanation:

The person above is right your ratio is the key to divide all the sizes.

Question:

What is the smallest integer \($n$\) such that \($n\sqrt{2}$\) is greater than \($20$\)? (Note: \($n\sqrt{2}$\) means \($n$\) times \($\sqrt{2}$\).)

Solution:

Smallest integer possibility for n is 15.

Hence, the smallest possible integer is 11.

Answer:

15

Step-by-step explanation:

In order to compare $n\sqrt{2}$ to $20$, we can compare the square of $n\sqrt{2}$ to the square of $20.$ We have

\begin{align*}

\left(n\sqrt{2}\right)^2 &= \left(n\sqrt{2}\right)\left(n\sqrt{2}\right) = n^2 \left(\sqrt{2}\right)^2 = n^2\cdot 2= 2n^2,\\

20^2 &= 400.

\end{align*}Therefore, we have $n\sqrt{2} > 20$ whenever $n^2 > 200.$ Since $14^2 = 196$ and $15^2 = 225,$ we know that $\boxed{15}$ is the smallest integer $n$ such that $n\sqrt{2}$ is greater than $20.$

Answer:

x = 2.

Step-by-step explanation:

First convert to vertex form:

f(x) = 5x^2 - 20x + 3

= 5(x^2 - 4x) + 3

= 5 [(x - 2)^2 - 4] + 3

= 5(x - 2)^2 -20 + 3

= 5(x - 2)^2 - 17.

The line of symmetry  is x = 2.

Answer:

Step-by-step explanation:

Simplify step by step:

2( x+7 ) +3 ( x+1 )

We'll distribute:

= ( 2 ) ( x )  +  ( 2 ) ( 7 ) + ( 3 ) ( x ) + ( 3 ) ( 1 )

= 2x + 14  + 3x + 3

We'll Combine Like Terms:

= 2x + 14 + 3x + 3

= ( 2x + 3x ) + ( 14 + 3 )

= 5x + 17 Answer!

Answer:

Step by step Explanation:

2(x+7) +3(x+1)

Open the brackets (multiply outside number by the numbers and letters inside the brackets)

2x + 14 + 3x+ 3

Collect like terms (collect ones that look alike in one side )

2x + 3x + 14 + 3

Add the like terms (add the ones that look alike)

= 5x + 17 (Answer)

I hope you understand it, it's really simple just work step by step.

Good luck ✅.

When examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

What is statistical validity?

Statistical validity is defined as a procedure or an extent of drawing conclusions to which research works or studies can be considered precise and accurate which are derived from the already existing or reliable statistical tests.

It can also be the statistics which are derived from the research works or studies.

What is frequency in statistics?

Frequency in statistics can be defined as the number of times an observation or a record or a value occurred in the duration of the research work. The frequencies of different records are represented in a tabular form.

For a given set of data the frequency can either be 0 or more than that.

Frequency of a given record or an observation cannot be negative as the least number of times the instance of an object can appear is zero.

What is margin of error estimate?

The margin of error estimate is a percentage figure which can be some percentage more or less than the actual or ideal value.

The margin of error is the range of values greater or lesser than the sample outcome statistic in the accuracy or confidence region or the  interval.

Hence, when examining the statistical validity of a frequency claim, one should look for the margin of error estimate.

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The goal of a hypothesis test is to determine if the data can refuse an assumption a parameter or a population.

Statistical hypothesis test: A statistical hypothesis test is a technique for determining whether the available data are sufficient to support a specific hypothesis. We can make probabilistic claims about population parameters through hypothesis testing.

The purpose of a hypothesis test is to ascertain whether the data can refute a parameter or population assumption.

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Answer:

190

Step-by-step explanation:

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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Answer:

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

The smaller figure is added, considering the coordinates of the image follow the rule:

Smaller stage is in blue. See attached

Since each side is half the original, the perimeter of the image is half the larger one:

Answer: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Step-by-step explanation:

What is the formula for calculating mortgage payments?

These factors include the total amount you're borrowing from a bank, the interest rate for the loan, and the amount of time you have to pay back your mortgage in full. For your mortgage calc, you'll use the following equation: M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1].

In order to calculate the percentage relation you proceed as follow:

(35.46/ 49.25)*100 = 72

Then, the percentage is 72%.

It is only necessary to calculte the quotient between the lower number and the higher one, and the result of the quotient is multiplied bu 100.

Answer: means you can switch up the numbers

Step-by-step explanation:

so Commutative  Property means you can switch up

the numbers not the sign for example.

4 × 3 × x

4 × x × 3

3 × x × 4

x × 3 × 4

x × 4 × 3

if you look at all these! they just switch

this is easier like 4x5=20 in communicative property it would be 5x4=20

Hope this helps :)

The indefinite integral of x(ln(x))^7dx is x(ln(x))^8/8 + C, where C is the arbitrary constant.

To solve this integral, we can use the power rule of integration. According to the power rule, the integral of x^n dx is (x^(n+1))/(n+1) + C. In this case, n is 7, so we raise x(ln(x)) to the power of 8 and divide by 8.

Integrating x^(n+1) is a straightforward process, but what makes this integral slightly more complex is the presence of the natural logarithm, ln(x). However, we can still apply the power rule to the entire expression (ln(x))^7 by treating it as a constant. So, we integrate x^7 and multiply it by (ln(x))^7.

The resulting integral is x^(7+1)/(7+1) = x^8/8. We then multiply this by (ln(x))^7, giving us (x(ln(x))^8)/8. Finally, we add the arbitrary constant C to account for the family of antiderivatives that this indefinite integral represents.

Therefore, the indefinite integral of x(ln(x))^7dx is x(ln(x))^8/8 + C, where C is the arbitrary constant.

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Answer:

No, also you can try  to use desmos to figure it out it is a very helpful tool

Step-by-step explanation:

The area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

To explain how we find the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4, we need to use polar coordinates and integrate.

The equation r = θ² represents a curve in polar coordinates. In this case, the curve is a parabola. The given sector 0 ≤ θ ≤ π/4 specifies the range of θ values over which we need to find the area.

To find the area of the region, we integrate the function r(θ) with respect to θ over the given range. The formula for finding the area in polar coordinates is:

A = ∫[θ₁,θ₂] (1/2) r(θ)² dθ

In this case, we have:

r(θ) = θ²

θ₁ = 0

θ₂ = π/4

Substituting these values into the formula, we have:

A = ∫[0,π/4] (1/2) (θ²)² dθ

Simplifying the expression:

A = (1/2) ∫[0,π/4] θ⁴ dθ

Integrating θ⁴ with respect to θ gives:

A = (1/2) [(θ⁵)/5] [0,π/4]

Plugging in the limits of integration:

A = (1/2) [(π/4)⁵/5 - (0)⁵/5]

Simplifying further:

A = (1/2) [(π⁵/4⁵)/5]

A = (1/2) (π⁵/4⁵)/5

A = π/32

Therefore, the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

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To find the joint probability distribution function f(u, v) of two random variables U and V, follow these steps:
1. Identify the support: Determine the range of values that the random variables U and V can take. The support is the set of all possible (u, v) pairs for which f(u, v) > 0.
2. Define the joint probability function: Using the support, create an equation that describes the probability of each (u, v) pair occurring. The equation should satisfy the conditions of a valid probability distribution function. That is, f(u, v) ≥ 0 for all (u, v) pairs in the support, and the sum (for discrete variables) or integral (for continuous variables) of f(u, v) over the entire support should be equal to 1.
3. Calculate probabilities: Use the defined joint probability distribution function f(u, v) to compute the probabilities of events involving U and V.

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The perimeter of the quadrilateral illustrated is 30cm.

The information is incomplete. Therefore, an overview will be given. It should be noted ha perimeter simply means the addition of the sides given.

Let's assume that that we've a rectangle with length and width of 10 and 5cm.

The perimeter will be:

= 2(l + w)

= 2(10 + 5)

= 30cm

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With a $3000 budget, the skateboard club can purchase used equipment for approximately 75 students.

To calculate the number of students the skateboard club can purchase used equipment for, we need to determine the cost per student.

if every student needs to replace their skateboard helmet and pads, and the skateboard club has a budget of $3000, we can calculate the approximate number of students they can purchase used equipment for.

To determine this, we need to know the cost of a set of used skateboard helmet and pads.

However, we can provide an estimate by dividing the budget by the assumed cost per set.

Let's assume that the cost of one set of used equipment is $40. Dividing the total budget of $3000 by the assumed cost per set ($40), we get 3000 / 40 = 75 students.

Therefore, with a $3000 budget, the skateboard club can potentially purchase used equipment for approximately 75 students.

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Answer:

a). B = 24 yd²

b). h = 8 yd

c). S.A. = 240 yd²

Step-by-step explanation:

Area of the triangular base B = \(\frac{1}{2}(\text{Base of the right triangle})(\text{height of the base triangle})\)

= \(\frac{1}{2}(8)(6)\)

= 24 yd²

Height of the prism 'h' = distance between the triangular bases

                                     = 8 yd

Perimeter of the triangular base = leg 1 + leg 2 + hypotenuse

                                                      = 8 + 6 + 10 = 24 yd

Surface area = 2B + Ph

                     = (2×24) + (24×8)

                     = 48 + 192

                     = 240 square yds

Answer:

x = 1 & y = 1, so (1, 1)

Step-by-step explanation:

Hello! Here is my explanation:

First, you need to set the equations like this:

x + y = 2

2x + 7y = 9

Since you are using elimination, we need to cancel out one variable, either x or y. Let's cancel out x, since that is an easier one to work with since the 2nd equation has a 2 as x's coefficient, whereas there is a 7 as y's coefficient. To cancel out x, we need to multiply the 1st equation by 2, including the "= 2", so that it can be the same as the x in the 2nd equation. Like this:

2(x + y = 2)

2x + 7y = 9

Then, distribute the 2 to the whole equation. Multiply that 2 to the x, the y, and the 2 after that "=" sign, like this:

2x + 2y = 4

2x + 7y = 9

Now we are ready to eliminate! Since we now have the same x and coefficients for both equations, we can cancel them out. To do so, we need to subtract both equations. When we do that, we get 0 as a result for only the x, leaving us with only the y to solve. So we do 2x - 2x (which will be 0, so no need to write that 0), 2y - 7y, and 4 - 9. Like this:

 2x + 2y = 4

- 2x + 7y = 9

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

        -5y = -5

Next, we solve for y by dividing -5 on both sides, which will result in 1 being our y-value:

-5y = -5

-5      -5

y = 1

Now that we have our y-value of 1, we can plug that in for y in either one of our system of equations. It is always best and easiest to use the simplest equation with smaller numbers, so let's use the 1st equation, x + y = 2.

x + y = 2

x + 1 = 2

Now solve for x by subtracting 1 on both sides, which will result in 1 being out x-value:

x + 1 = 2

   - 1   -1

x = 1

So therefore, the solution to this system of equations is (1, 1). We used the method of elimination to solve this system. I hope this helps you understand how to approach these problems! Have a great day :)

The solution for the given system of linear equation is (9/7, 5/7).

The given system of equations are x+y=2 and 2x+7y=9.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, x+y=2 -------(I) and 2x+7y=9 -------(II)

Multiply equation (I) by 2, we get

2x+2y=4 -------(III)

Subtract equation (III) from (II), we get

2x+7y-(2x+2y)=9-4

⇒ 7y=5

⇒ y=5/7

Substitute y=5/7 in equation (I), we get

x+5/7=2

⇒ x=2-5/7

⇒ x=9/7

So, solution is (9/7, 5/7)

Therefore, the solution for the given system of linear equation is (9/7, 5/7).

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Answer: (-13.3, 8.6)

Step-by-step explanation:

First we want to identify which side of the graph A lands on compared to x. We see that A's X value is greater, meaning it is on the right side of M.

We can then start finding the opposite coordinate by finding the distance between the x and y values of A and M. We can do this By subtracting the M values from the A values:

\(x-distance = 2.3-(-5.5) = 7.8\\y-distance = -4.6 - 2 = -6.6\)

We then need to subtract these values from the M coordinate in order to find the coordinate B opposite of A:

\(B-xValue = -5.5 - 7.8 = -13.3\\B-yValue = 2 - (-6.6) = 8.6\)

From this, we can tell our coordinate B has the value: (-13.3, 8.6)

Hope this helps, if you need any clarification please let me know.

Step-by-step explanation:

given 2 points

A (xa, ya)

B (xb, yb)

their midpoint is

M ((xa + xb)/2, (ya + yb)/2)

in our case

A (2.3, - 4.6)

M(-5.5, 2)

so,

-5.5 = (2.3 + xb)/2

-11 = 2.3 + xb

xb = -13.3

2 = (-4.6 + yb)/2

4 = -4.6 + yb

yb = 8.6

so,

B = (-13.3, 8.6)

Answer:

-6 degrees each minute

Step-by-step explanation:

if the temperature fell 48 degrees in 8 minutes, we must divide 48 by 8.

48 / 8 = 6

It fell 6 degrees every minute

Since we are talking about temperature dropping, it is negative

-6 degrees each minute

Answer:

It fell 6 degrees each minute

Step-by-step explanation:

I think you divide 48 by 8 so yeah it falls 6 degrees per minute if every fall is the exact same. You are welcome

Answer:

5^2 < 2^5

Step-by-step explanation:

2^5 = 2x2x2x2x2 = 32

5^2 =  5x5 = 25,

since 25 is less than 32, the comparison 5^2 < 2^5 is correct, or 25 < 32

The value of 2^5 is greater than 5^2.

An expression in maths a sentence with a minimum of two numbers or variables and at least one math operation.

Given that the same digits are used for the expression 2^5 and 5^2

2^5 = 32

5^2 = 25

Therefore, 2^5 > 5^2

Hence, The value of 2^5 is greater than 5^2.

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Using Probability,

The probability that a randomly selected student in the class likes math or English is 11/26.

We have provided the following information,

total number of students in a class = 26

number of students who likes Math = 15

number of students who likes English = 13

number of students who does not likes English or Math = 9

let x be number of students who likes both of subjects .

firstly , we have to find out the value of x i.e total number of students who likes both subjects out of 26 students class .

For this , number of students who likes any one of subjects from both = 26- 9 = 17

but we have total 28 (i.e., 15 + 13 )students who likes Math and English.

so, number of students who likes only Math = 17-15 = 2

number of students who likes only English = 4

then, number of students who likes both subjects

(x) = 26 - 4- 2-9 = 11

randomly one student is selected from the Class,

The probability that a randomly selected student in the class likes math or English = 11/26

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Complete question:

In a class of 26 students: 15 like math, 13 like English, 9 does not like both. What is the probability that a randomly selected student in the class likes math or English?

Answer:

D 40

Step-by-step explanation:

2x^2-10  if (5)

2(5)^2-10

2(25)-10

50-10

40