Write seventy-three and four hundred ninety-six thousandths as a decimal number.

Answer:

(12)^2=(n+1)^2

12=n+1

12-1=n

n=11

Step-by-step explanation:

another one

(12)^2-(n+1)^2=0

(12-n-1)(12+n+1)=0

either:-

n=11 or n=-13

\(~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13\)

The sum of the first 75 terms of the sequence is -5.068*10^34

Given the following geometric sequence

\(a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)\)

The sum of the nth term of the GP is expressed as;

\(S_n = \frac{a(1-r^n)}{1-r}\)

a = -1/3

n = 75

r = a₂/a₁

a₂ = -3a₁

a₂ = -3(-1/3)

a2 = 1

r = 1/(-1/3)

r = -3

Substitute the given values in the formula;

\(S_n = \frac{-1/3(1-3^{75})}{1-(-3)}\\S_{75} = \frac{-1/3(3^{75}-1)}{1+3} \\S_{75} = \frac{-1/3(6.082 \times 10^{35}-1)}{4}\\S_{75} = \frac{-1/3(6.082 \times 10^{35})}{4}\\S_{75} = -0.5068 \times 10^{35}\\S_{75} = -5.068 \times 10^{34}\\\)

Hence the sum of the first 75 terms is -5.068*10^34

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\(1 + 1 \times 2 \\ = 1 + 2 \\ = 3 \\ \\ 1 + 4 \times 5 \\ = 1 + 20 \\ = 21 \\ \\ 4 + 5 \times 6 \\ = 4 + 30 \\ = 34\)

To construct an equilateral triangle inscribed in a circle, Zahid would need to draw three specific segments.

First, Zahid would need to draw the radius of the circle, which is a line segment connecting the center of the circle to any point on its circumference. This segment serves as the base of the equilateral triangle.

Next, Zahid would draw two more line segments from the endpoints of the base (radius) to another point on the circumference of the circle. These segments should be of equal length and form angles of 60 degrees with the base. These segments complete the equilateral triangle by connecting the remaining two vertices. Zahid needs to draw the radius of the circle (base of the equilateral triangle) and two additional line segments connecting the endpoints of the radius to other points on the circle's circumference. These line segments should be equal in length and form angles of 60 degrees with the base.

It is important to note that an equilateral triangle is a special case where all sides are equal in length and all angles are 60 degrees. In the context of a circle, an equilateral triangle is inscribed when all three vertices lie on the circumference of the circle.

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Answer:

y < 1/4x + 3

Step-by-step explanation:

the line is dotted so we know the symbol will not include the "equal to" part

we can also see that the shading in below the y intercept, so we know that the symbol will also be less than

this means the symbol is <

now, create an equation for the line:

we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4

so the slope is 1/4

now put this together and you get 1/4x + 3

this part will go on the right side of the < symbol in your inequality

so now you can create an inequality: y < 1/4x + 3

Answer:

y < \(\frac{1}{4}\) x + 3

Step-by-step explanation:

m = \(\frac{1}{4}\) and coordinates of y-intercept are (0, 3)

y < \(\frac{1}{4}\) x + 3

Answer:

Slope is: 1/2

Y-intercept is: 4

Equation is: y=1/2x+4

*Use Desmos Graphing Calculator to graph and get the answers for #3*

You can use do 37+32.5 and subtract that from 570

Hoped this Helped

The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is  0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.

Given that mean μ = 4.2 , standard deviation σ = 1.3

1. P(X >= 5) = P((X - μ)/σ >

                    = (5 - 4.2) /1.3

                    = P(Z ≥ 0.6154)

                    = 1 - P(Z < 0.6154)

                    = 1 - 0.7324

                    = 0.2676

The required probability is 0.2676.

2.Given that n = 8 then  \(\bar x\) = σ/\(\sqrt{(n)\)  = 1.3/√(8) = 0.4596

P(x-bar ≥ 5) = P((\(\bar x\) - μ)/σx-bar ≥ (5 - 4.2)/0.4596)

                        = P(Z ≥ 1.7406)

                        = 1 - P(Z < 1.7406)

                        = 1 - 0.9591

                        = 0.0409

The required probability is 0.0409.

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By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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From the figure, the total number of students is

The number 15 is common in spanish, chemistry and math.

Hence, the number of students studying spanish, chemistry and math, n=15.

Therefore, the probability of surveying a student that is in math Spanish and chemistry is,

Therefore, the

The ellipse in a scatterplot becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables.

It ranges from -1 to 1, where values close to -1 or 1 indicate a strong linear relationship, and values close to 0 indicate a weak or no linear relationship.

When the scatterplot forms an ellipse, it indicates that there is some degree of correlation between the variables x and y.

If the ellipse is elongated, it suggests that the correlation is weak, while if the ellipse is more circular, it suggests that the correlation is stronger.

As the ellipse becomes thinner, it means that the spread of the data along one of the variables is becoming smaller, while the spread along the other variable is remaining the same.

This indicates that there is a stronger linear relationship between the variables, and as a result, the correlation coefficient (r) will increase.

Therefore, we can conclude that as the ellipse becomes thinner, the correlation coefficient (r) between the variables x and y will increase.

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The solution is 1.15 feet²

The area occupied by 1 pound bag of seeds is 1.15 feet²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the area occupied by one pound of seeds be A

The area occupied by 20 pound bag of seeds = 23 feet²

So , the equation will be

The area occupied by one pound of seeds be A = area occupied by 20 pound bag of seeds / 20

Substituting the values in the equation , we get

The area occupied by one pound of seeds be A = 23/20

The area occupied by one pound of seeds be A = 1.15 feet²

Therefore , the value of A is 1.15 feet²

Hence , the area occupied is 1.15 feet²

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Answer:

24x

Step-by-step explanation:

a² ± 2ab + b² = (a ± b)²

(3x)² +    k    + 4² = (3x)² + 2(3x)(4) + 4²

k = 24x

Answer:

The number of animals consists of a discrete quantitative variable, it can be represented in a bar diagram. This is a tool that allows to represent the data it is okay if it's not correct

Answer:

C. Roanoke, Alexandria, Norfolk

Step-by-step explanation:

Lets expand all of the numbers

Alexandria 136,000

Norfolk 229,000

Roanoke 91,500

Using these number we can easily see that the order is "Roanoke, Alexandria, Norfolk"

I don't understand when you say "Please answer with two answers!" because only one answer is correct

The estimation helps us to get simpler digits to perform operations.

An approximate value close enough to the correct value is called estimation.

Given that, how can an estimate help when multiplying 5.3 x 3.9

So, here we see that, multiplication of two decimal number are getting performed,

To multiply decimal numbers, sometimes gets lengthy, so we use estimation,

Here, the two numbers are, 5.3 and 3.9,

Rounding the numbers for estimation,

The rule of rounding says, that, when the digit after decimal is less than five then we round down and if it is greater than five then we round up,

Therefore,

5.3 = 5

3.9 = 4

Now, as we get two simpler numbers, we can easily multiply them

5 x 4 = 20

That mean, the estimated value of 5.3 x 3.9 is 20

Hence, the estimation helps us to get simpler digits to perform operations.

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Answer:

31.4 inches

Step-by-step explanation:

c = 2 * 3.14 * r

c = 2 * 3.14 * 5

C = 31.4 inches

The probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.

What is the binomial distribution?

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n separate experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

Here, we have

Given: For one product, 98% of all the units made at a particular factory can hold at least 400 lbs. of weight before breaking to check the product, quality control selects a random sample of 300 units made at the factory and determines whether or not the product can hold at least 400 lbs.

p = 0.98

q = 1 - p = 1 - 0.98 = 0.02

n = 300

Using the binomial distribution,

Standard deviation = σ = √npq = √300 × 0.98 × 0.02 = 2.4249

Standard deviation = σ = 2.4249

Hence, the probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.

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false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5

Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.

To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.

In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.

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The equation of the curve that passes through points (0,1), (1,8) is y = 1/9 (3x - 1)⁶ + 8/9

multiply dx on both sides, To shift it over. By doing this, we get

dy = 2 (kx - 1)⁵dx

Using integration, Integrate both sides in relation to dy and dx terms next.

dy = 2 (kx - 1)⁵dx

∫ dy = ∫ 2 (kx - 1)⁵dx

y = 2 ∫  (kx - 1)⁵dx

Here, a u-substitution is possible. Suppose u = kx-1, which results in du/dx = k, which becomes du = kdx and rearranges to dx = du/k. Consequently, the subsequent steps can look like, y = 2 ∫  (kx - 1)⁵dx

y = 2 ∫ u⁵ × du/k

y = 2/k ∫ u⁵ × du

y = 2/k ( 1/ 5 +1  u⁵⁺¹ + C )

y = 2/k ( 1/ 6 u⁶+ C )

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

Let's enter (x,y) = (0,1) and use a little algebra to find C. On the right, we'll see an equation in terms of k.

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

1 = 2/k ( 1/ 6 (k × 0 - 1)⁶ + C )

1 = 2/k ( 1/ 6 + C )

k = 2 ( 1/ 6 + C )

k = 1/3 + 2C

3k = 1 + 6C

6C = 3k - 1

C = (3k - 1) / 6

Let's now insert that C value along with (x,y) = (1,8). After that, calculate k to obtain a precise number.

y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

8 = 2/k  ( 1/ 6 (k × 1 - 1)⁶ + ( 3k - 1 )/6 )

Find the root of the function using a graphing calculator. The x intercept is 3 and k is the input x. This would get you,  C = (3k - 1) / 6

C = (3 × 3 - 1) / 6

C = 8/6

C = 4/3

Therefore, y = 2/k ( 1/ 6 (kx - 1)⁶ + C )

y = 2/3 ( 1/ 6 (3x - 1)⁶ + 4/3 )

y = 1/9 (3x - 1) ⁶ + 8/9 , hence the final equation.

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Answer: I think is close and reopen the program

Step-by-step explanation:

The option for problem is Close and reopen the program.

Software is a set of instructions for a computer to follow. The entirety of a computer system's programs, procedures, and routines are referred to as software. The term was developed to distinguish these instructions from hardware—for example, a computer system's physical components.  A software program is a set of instructions that tell a computer's hardware how to do something.

System software and application software are the two most common types of software. A computer's internal operation is primarily controlled by an operating system, but system software also controls monitors, printers, and storage devices.

Given Software on computer is taking a long time to load,

There are a few simple solutions for programs that take a long time to open:

Restart your computer, Scan for viruses and malware with Windows Defender or another antivirus program. Use System File Checker to fix the slowness. And Close and reopen the program.

Hence Verify that each and every option for utilizing the software is functional,  Close and reopen the program.

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Answer:

B

Step-by-step explanation:

The area (A) of circle A is calculated using

A = πr² ( with r = 18 ÷ 2 = 9 )

A = π × 9² = 3.14 × 81 = 254.34 in² thus

A of circle B = 254.34 in² ÷ 5 = 50.868 in² → B

Angles Formulas at the center of a circle can be expressed as:

Central angle, θ = (Arc length × 360º)/(2πr) degrees

Sum of Interior angles=180°(n-2)

The angles formulas are used to find the measures of the angles. An angle is formed by two intersecting rays, called the arms of the angle, sharing a common endpoint.

The corner point of the angle is known as the vertex of the angle. The angle is defined as the measure of the turn between the two lines.

There are various types of formulas for finding an angle; some of them are the central angle formula, double-angle formula, etc...

We use the central angle formula to determine the angle of a segment made in a circle.

We use the sum of the interior angles formula to determine the missing angle in a polygon.

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Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

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Answer:

still 0.16

Step-by-step explanation:

cuz if u round to 1 d.p itll be 0.2 .

2 d.p theres nth after 6 so its gonna stay the same

Answer:

D) 48°

Step-by-step explanation:

Step 1:  First, we need to know the sum of the measures of the interior angles of the polygon.  We can determine the sum using the formula,

(n - 2) * 180, where n is the number of sides of the polygon.

Since this polygon has 4 sides, we plug in 4 for n:

Sum = (4-2) * 180

Sum = 2 * 180

Sum = 360°

Thus, we know that the sum of the measures of the interior angles of the polygon is 360°.

Step 2:  Now we can set the sum of four angles equal to 360 to solve for x:

127 + (5x + 3) + 88 + (10x + 7) = 360

215 + (5x + 3 + 10x + 7) = 360

215 + 15x + 10 = 360

225 + 15x = 360

15x = 135

x = 9

Step 3:  Now we can plug in 9 for x in the equation representing the measure of E to find the measure of E:

E = 5(9) + 3

E = 45 + 3

E = 48

Thus, the measure of E is 48°

Optional Step 4:

We can check that E = 48 by again making the sum of the angles = 360.  We already know the measures of angles J, E, and S so we can just plug in 9 for x in the expression representing angle J.  If we get 360 on both sides, we've correctly found the measure of E:

K + J + E + S = 360

(10(9) + 7) + (127 + 48 + 88) = 360

(90 + 7) + 263 = 360

97 + 263 = 360

360 = 360

Thus, we've correctly found the measure of E

Answer:

D

Step-by-step explanation:

it should be D because its 40-70, it doesn't show on the number line 870.

Answer:

The answer is

→ Option C.) Each person commits to spending less than $70.

Step-by-step explanation:

The number line is going left (decreasing), which means that each person spent less than $70 in one week.

Answer:

yes

Step-by-step explanation:

changing the order of an adding equation does not change the sum.

Answer for part (i)= line SW as it forms a 90 degrees angle

Answer for part (ii)= angle RWV as supplementary angles need to add up to 180 degrees

Step-by-step explanation:

(i) 42+20+28= 90 degrees

(ii) 42+20= 62

180-62= 118

angle RWV= 118 degrees