What js the value of (x)?​

Answer:

49500

Step-by-step explanation:

Based on the information given :

Fixed cost of producing one item is $4950 ;

The cost of producing 10 items will be ;

Cost per item * number of items

$4950 * 10

$49500

Therefore, the cost of producing 10 items is $49500

Multistage cluster sampling with stratification, systematic sampling, simple random sampling and disproportionate stratified sampling are examples of probability sampling.Probability sampling is the process of selecting a sample from a population when the selection is based on the randomization principle, often known as chance or random selection.

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Answer:

-2x^2-5x-3

Step-by-step explanation:

(3x^2 – 3x+6) - (5x^2 + 2x + 9)

Distribute the minus sign

(3x^2 – 3x+6) - 5x^2 - 2x - 9

Combine like terms

3x^2 -5x^2 -3x-2x +6-9

-2x^2-5x-3

Answer:

7 of it is 12

Step-by-step explanation:

you have to plus the top ones

The measures of variation has shown that we can infer that the range is an indicator that the difference in the Big Mac price in different countries is minimal.

The values given are:

5.30, 5.28, 2.60, 3.17, 3.41, 2.33, 6.77, 5.13, 4.83, 4.39, 2.77, 1.91

1) The range is the difference between the highest and lowest values in the given data sample. Thus:

Range = 6.77 - 1.91

Range = 4.86

2) The formula to find the variance of the given data is:

s² = \(\frac{\Sigma (x_{i} - x-bar)^{2} } {n - 1}\)

Using an online statistics calculator, we have that:

Variance = 2.2532

3) From the above, the standard deviation is the square root of the variance and as such:

Standard deviation = √2.2532

Standard deviation = 1.50

Based on the above data, we can infer that the range is an indicator that the difference in the Big Mac price in different countries is minimal.

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Answer:

68°

Step-by-step explanation:

arctan(x) = 5/2

Answer:

45 is the anwser

Step-by-step explanation:

thank you

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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The vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

The quadratic equation is given as:

y = -x^2 + 4x - 1

Differentiate the above quadratic equation.

This is done with respect to x by first derivative

So, we have:

y' = -2x + 4

Set the derivative to 0

-2x + 4 = 0

Subtract 4 from both sides of the equation

-2x + 4 - 4 = 0 - 4

Evaluate the difference in the above equation

-2x = -4

Divide both sides of the above equation by -2

x = 2

Rewrite as

h = 2

Substitute 2 for x in the equation y = -x^2 + 4x - 1

y = -2^2 + 4 *2 - 1

Evaluate the equation

y = 3

Rewrite as:

k = 3

A quadratic equation in vertex form is represented as:

y = a(x - h)^2 + k

So, we have:

y = a(x - 2)^2 + 3

In the equation y = -x^2 + 4x - 1, a = -1

So, we have:

y = -(x - 2)^2 + 3

Hence, the vertex form of the equation y = -x^2 + 4x - 1 is y = -(x - 2)^2 + 3

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Answer: multiply by the right reciprocal.

NOTE//the reciprocal of an rational number is the Rational Number Obtained after interchanging the Numerator and Denominator is called Reciprocal of a Rational Number.

Step-by-step explanation:

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Hello User!

Answer: $659.83

Steps:

1.) Previous balance = 3529.30

APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%

Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00

New balance after transaction = 3584.00 + 148 = 3732.00

2.) Previous balance = 5834.53

APR = 20.4%, thus monthly interest rate = 1.7%

Previous balance - payment = 5834.53 - 150 = 5680.53

Balance + interest = 5634.53(1 + 0.017) = 5781.17

New balance after transaction = 5781.17 + 325 = 6106.17

3.) Total payment = 15264

Number of payments = 72 monthly payments

Monthly payment = 15264 / 72 = 212

4.) Amount bollowed = 7400 at 7% APR

Amount plus interest = 7400(1 + 0.07) = 7918

Monthly payment = 7918 / 12 = 659.83

Answer:

Step-by-step explanation:

I took the quiz

Answer: you start bye doing th

Step-by-step explanation:

Then you start too do

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

Step-by-step explanation:

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion \(\frac{1}{a+3} =\frac{4}{16}\), and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

\(\frac{1}{a+3} =\frac{1}{4}\)

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!

The area of a circle is 314 CM square find its circumference use π=3.14: => 62.8cm²

Area of circle = 314 cm

Πr²=314

3.14×r² = 314

r²=314/3.14

r²=(314×100)/314

r²=100

r=10

Circumference = 2πr

=> 2×3.14×10

=> 62.8cm²

Circumference of a Circle method

The Circumference  = 2πR

where,

R is the radius of the circle

π is the numerical consistent with an inexact (up to two decimal focuses) worth of 3.14

Once more,

Pi (π) is a unique numerical consistency; it is the ratio of circumference to diameter of any circle.

where C = π D

C is the circumference of the circle

D is the diameter of the circle

For instance: In the event that the radius of the circle is 4cm, track down its circumference.

Given: Radius = 4cm

Circumference = 2πr

= 2 x 3.14 x 4

= 25.12 cm

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the complete question is:

The area of a circle is 314 CM square find its circumference use π=3.14.

Answer:

5 ft 5 in

Step-by-step explanation:

12 in = 1 ft

65/12 = 5

12 x 5 = 60

65 - 60 = 5

5 ft 5 in

Have an amazing day!!

Please rate and amrk brainliest!!!

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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Answer:

The volume of the triangular prism is 677.6 cubic meters.

Step-by-step explanation:

The formula for the volume of a triangular prism is:

\(\sf\qquad\dashrightarrow Volume \: (V) = \dfrac{1}{2} \times b\times h \times l \)

where:

Substituting the given values, we have:

\(\sf:\implies Volume \: (V) = \dfrac{1}{2} \times 11 \times 11 \times 11.2\)

\(\sf:\implies \boxed{\bold{\:\:Volume \: (V) = 677.6\: meters^3\:\:}}\:\:\:\green{\checkmark}\)

Therefore, the volume of the triangular prism is 677.6 cubic meters.

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The steps of finding mean and standard deviation of a simple random sample are given below.

What is standard deviation and mean?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

There are various mean types in mathematics, particularly in statistics. Each mean serves to summarize a specific set of data, frequently to help determine the overall significance of a specific data set.

The steps of finding mean and standard deviation of a simple random sample are:

Divide the population standard deviation (σX) by the square root of the sample size (n) to get the standard deviation of the sample mean (σX):  = σ/n.

How to determine sample means

Add up the examples' components. You must first count the number of sample items in each data set and then add up all of the sample items. ...

Sum divided by the quantity of samples.

The outcome is the mean.

To determine the variance, use the mean.

To determine the standard deviation, use the variance.

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The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

The probability that the needle intersects any of the lines is 2l / (πa).

The probability that a fine needle of length l intersects any of the lines on a board covered with parallel lines distance apart can be found using Buffon's Needle problem formula.

The formula for this problem is:
P = (2l)/(πa)

Where P is the probability of the needle intersecting any of the lines, l is the length of the needle, and a is the distance between the parallel lines.
P = (2l)/(πa) = (2l)/(π(a>l))

Since a>l, we can simplify the formula to:
P = (2l)/(πa)

Therefore, the probability that the needle intersects any of the lines is (2l)/(πa).

In conclusion, the probability that a fine needle of length l intersects any of the lines on a board covered with parallel lines distance apart is (2l)/(πa).

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Answer:

Step-by-step explanation:

This is a system of equations problem. The first equation comes from the fact that there are 5 times as many pens in box a as there are in box b; that means that if we multiply the amount in b by 5, it will be equal to what's in a:

a = 5b

That's the first equation. The second one comes from when 76 pens are moved from box a to box b. They are equal when this happens; therefore:

a - 76 = b

Using substitution:

5b - 76 = b and

4b = 76. Therefore,

b = 19.

If a = 5b, then a = 5(19) which gives us that there are 95 pens in box a.

Given that,

Let's assume there are x pens in box B.

Now, there will be 5x pens in box A.(Because there are 5 times as many pens in box A than in box B).

They had the same number of pens when Tom moves 76 pens from box A to box B.

So, after moving 76 pens from box A to box B:

Box A contains 5x-76 pens.

Box B contains x+76.

Now, Box A and Box B have the same number of pens.

We have to equate the number of pens in both boxes:

5x-76=x+76

4x=152

x=38

5x=190

Box A has 190 pens.