Select Repeating or Nonrepeating to correctly classify each decimal. Repeating Nonrepeating 7.777777... 6.213 KON 5.1152535 4.04​

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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Answer:

34

Step-by-step explanation:

Answer:negative it would be -2

Step-by-step explanation:

Answer:

negative.

Step-by-step explanation:

36/-18=-2

Answer:

<AEB and <CED are congruent by vertical angles theorem.

Step-by-step explanation:

Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.

Thus, the answer would be:

<AEB and <CED are congruent by vertical angles theorem.

1) The lower limit of the confidence Interval is: 1489.77.

The upper limit of the confidence Interval is: 1530.23

2) The lower limit of the confidence Interval is: 1478.32

The upper limit of the confidence Interval is: 15411.68

The formula to find the confidence interval is:

CI = x' ± z(σ/√n)

where:

CI is confidence interval

x' is sample mean

z is z-score at confidence level

σ is standard deviation

n is sample size

1) The parameters are:

σ = $234

x' = $1510

n = 362

z at 90% CL = 1.645

Thus:

CI = 1510 ± 1.645((234/√362)

CI = 1510 ± 20.23

CI = (1489.77, 1530.23)

2) The parameters are:

σ = $234

x' = $1510

n = 362

z at 99% CL = 2.576

Thus:

CI = 1510 ± 2.576((234/√362)

CI = 1510 ± 31.68

CI = (1478.32, 15411.68)

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The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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The x-intercept of function f(x) is x = 7.

We have,

Since the x-intercept of a function is the value of x at which the function equals zero, we can find it by setting f(x) = 0 and solving for x.

Let's assume that the function f(x) is a linear function of form f(x) = mx + b, where m is the slope and b is the y-intercept.

Since we know that f(-1) = 7 and f(5) = 7/2, we can set up two equations:

-7m + b = 7 (when x = -1)

5m + b = 7/2 (when x = 5)

To solve for m and b, we can subtract the first equation from the second to eliminate b:

5m + b - (-7m + b) = 7/2 - 7

12m = -13/2

m = -13/24

Now we can substitute m into either equation to solve for b:

-7(-13/24) + b = 7

b = 91/24

Therefore,

The function f(x) is f(x) = (-13/24)x + 91/24.

To find the x-intercept, we can set f(x) = 0:

(-13/24)x + 91/24 = 0

x = 7

Thus,

The x-intercept of function f(x) is x = 7.

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Using conditional probability, it is found that there is a 0.6262 = 62.62% probability that the part is indeed defective.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

Event A: Positive test result.

Event B: Defective.

For the probability of a positive test result, we consider two scenarios.

Hence:

\(P(A) = 0.995(0.01) + 0.006(0.99) = 0.01589\)

The probability of a positive test result and being defective is:

\(P(A \cap B) = 0.995(0.01)\)

The conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.995(0.01)}{0.01589} = 0.6262\)

0.6262 = 62.62% probability that the part is indeed defective.

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Answer:

4 children

Ages: 3, 4, 5, 6

Step-by-step explanation:

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

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Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The minimum lateral surface area of the prism is approximately 1.194 square units.

The given base and height of the prism is y and x respectively.

Hence volume of the prism

V = 1/3 x²y

again 1/3 x²y  = 1/6

or, y = 1/2x²

The lateral surface area of the prism is given by :

F = √(4y²+x²)

By the equation 1 we get :

F = x √ (1/x⁴ + x²)

Now we will use differentiation:

\(\frac{df}{dx} = \frac{2x^6-1}{x^4(x^2+\frac{1}{x^2} )}\)

Now for the critical points we have to take df/dx = 0

hence solving the equation for x we get :

\(x = (\frac{1}{2} )^{\frac{1}{6}}\)

Hence the values of x is \((\frac{1}{2} )^{\frac{1}{6}}\) and the value of y will be  \(\frac{1}{2^\frac{2}{3}}\) units,

And the lateral surface are will be :

F (min ) = √(4y²+x²)

= √ (0.795 + 0.633)

= 1.194 square units

The approximate values of x and y are

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Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

(First answer option)

Step-by-step explanation:

General form of an exponential function

\(y=ab^x+c\)

where:

Given exponential function:

\(y=4(10)^x-3\)

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

\(f(x)=b^x\)

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

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See the original question attached

Step-by-step explanation:

Given two rectangle with sides 3 by x  and 2 by y.

Sum of the areas is 30 cm².

Find the missing values.

Answer:

Step-by-step explanation:

y = 6 cm

x = 4 cm

y = 1.5 cm

x = 0 cm

The 4 angles need to add to 360.

2 of them are 70

The other two need to equal 360-140 = 220

They are both the same so one angle needs to equal 220/2 = 110

Now find x:

X + 60 = 110

Subtract 60 from both sides:

X = 50. The answer is D

Answer:

I'm thinking 21 + 2c = I dont really fancy maths but I'm feeling this answer.

Using the relation between velocity distance and time, it is found that his second practice was 0.66 km/h faster than his first.

Velocity is distance divided by time, hence:

\(v = \frac{d}{t}\)

On his first practice, he ran a distance of 10 km in 1:01:49, that is, 1 hour plus 109 seconds, which considering that an hour has 3600 seconds, is a time of:

\(t = 1 + \frac{109}{3600} = 1.0303\)

Hence, the velocity in km/h is:

\(v_1 = \frac{10}{1.0303} = 9.71\)

On the second practice, the time was of 57:53, hence:

\(t = \frac{57 \times 60 + 53}{3600} = 0.96472222222\)

\(v_2 = \frac{10}{0.96472222222} = 10.37\)

10.37 - 9.71 = 0.66.

His second practice was 0.66 km/h faster than his first.

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The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

We have,

We can simplify the given expression as follows:

(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)

= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)

[distributing the factors]

= (5X - 5Y) /8 - 1/(4X + 4Y)

[finding a common denominator]

= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)

= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)

= (20X² - 20Y² - 1) / (4X + 4Y)

Therefore,

The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to

(20X² - 20Y² - 1) / (4X + 4Y)

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Answer:

13 and a half

Step-by-step explanation:

I just counted the squares bro

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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Answer:

\(y = 3(2)^x\)

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

\(y = ab^x\)

From the table;

\((x,y)=(0,3)\)

So:

\(y = ab^x\)

\(3 = a * b^0\)

\(3 = a * 1\)

\(3 = a\)

\(a = 3\)

Also:

\((x,y) = (1,6)\)

So:

\(y = ab^x\)

\(6 = a * b^1\)

\(6 = a * b\)

Substitute \(a = 3\)

\(6 = 3 * b\)

Solve for b

\(b = 2\)

So:

\(y = ab^x\)

\(y = 3(2)^x\)

The exponential function represented by the values is f(x) = 3(2)ˣ

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

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Answer:

It takes 12 years

Step-by-step explanation:

Amount(A) = P(1+r(^t

A ==> 170x/100 = x(1+0.045)^t

1.7 = (1.045)^t

Apply ln on both side

ln(1.7) = ln(1.045)^t

ln(1.7) = tln(1.045)

t = ln(1.045)/ln(1.7)

t = 0.53062825106/0.04401688541

t = 12.05510672

t = 12 years

The time it would take any deposit to increase by 70% is 12 years.

The formula that would be used to determine the amount of time needed for a deposit to increase by 70% is:

t = In (FV/PV)  / In(1 + r)

Where:

t = In (1.7) / In(1.045)

t = 12 years

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The slope formula is givenb by:

To get the slope from the graph, we will pick out two points lying on the line:

Point 1: (x, y) = (-6, 10)

Point 2: (x, y) = (0, -8)

We will then proceed to use these points to calculate the slope, we have:

The slope (m) = -3

Answer:

Inieterlov

Step-by-step explanation:

Si un electrón no consume, ni libera energía el átomo se encuentra enSi un electrón no consume, ni libera energía el átomo se encuentra en

Answer:

0.2

Step-by-step explanation:

Divide the numerator by the denominator

The expression (-9x)^4 can be represented as -6561x^3 without using exponents.

To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.

(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)

To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:

(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2

So, by substituting this result back into the original expression, we get:

(-9x)^4 = 81x^2 * (-9x) = -6561 x^3

Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.

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The value of f(5) When a polynomial f(x) is divided by x -5 is 4

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

If f(x) has a remainder of 4 when divided by x - 5

Then it means that if f(x -5) = f(0)

x -5 = 0

x = 5

so if you substitute 5 into f(x) which is f(5) it will give 4

so therefore f(5) = 4

In conclusion f(5) is same as 4

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