You are x year old. Write an expression to describe your uncle’s age

Answer:

Domain is <-4,+∞)

X >= -4

Step-by-step explanation:

Answer: slope m=-1

Step-by-step explanation:

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{Slope = - 1}}}}}\)

Step-by-step explanation:

\( \tt{Let \: the \: points \: be \: A \: and \: B}\)

\( \tt{Let \: A ( 2 , -3 ) \: be \: ( x1 , y1 ) \: and \: B ( -4 , 3 ) \: be \: ( x2 , y2)}\)

\( \underline{ \tt{Finding \: the \: slope \: of \: the \: line}}\)

\( \boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}\)

\( \longmapsto{ \sf{Slope = \frac{3 -( - 3)}{ - 4 - 2} }}\)

\( \longmapsto{ \sf{Slope = \frac{3 + 3}{ - 4 - 2}}} \)

\( \longmapsto{ \sf{Slope = \frac{6}{ -6}}} \)

\( \longmapsto{ \boxed{ \sf{Slope = - 1}}}\)

\( \tt{Hope \: I \: helped ! } \)

\( \sf{Best \: regards !!}\)

~TheAnimeGirl

Rounding to four decimal places, the 99% lower confidence bound on the standard deviation is approximately 0.0002 millimeters.

To find a 99% lower confidence bound on the standard deviation, we can use the chi-square distribution.

The chi-square distribution is used to construct confidence intervals for the standard deviation when the population follows a normal distribution.

The formula for the lower confidence bound on the standard deviation is:

LB = sqrt((n - 1) * s^2 / X²α/2)

where LB is the lower confidence bound, n is the sample size, s is the sample standard deviation, and X²α/2 is the chi-square value at α/2 with (n - 1) degrees of freedom.

Since we want a 99% confidence level, α = 1 - 0.99 = 0.01. Therefore, α/2 = 0.01/2 = 0.005.

We need to find the chi-square value at 0.005 with (n - 1) degrees of freedom. In this case, n = 15, so the degrees of freedom is (15 - 1) = 14.

Using a chi-square distribution table or statistical software, the chi-square value at 0.005 with 14 degrees of freedom is approximately 31.3193 (rounded to four decimal places).

Plugging in the values into the formula, we have:

LB = sqrt((15 - 1) * 0.006^2 / 31.3193)

= sqrt(14 * 0.000036 / 31.3193)

≈ sqrt(0.0000000504)

≈ 0.0002248

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The Kb for a 0.1 M solution of cyanide ion is 1.61 x 10^-5.

To solve for Kb, we need to use the relationship between Ka and Kb, which is:

Kw = Ka x Kb

where Kw is the ion product constant of water, which is 1.0 x 10^-14 at 25°C.

We can first calculate the Ka of hydrocyanic acid:

Ka = [H⁺][CN⁻]/[HCN]

Assuming the solution is dilute and that most of the HCN is not ionized, we can approximate [HCN] to be equal to the initial concentration of 0.1 M. Let x be the concentration of [H+] and [CN-] (since they are equal for a weak acid) at equilibrium, then:

Ka = x^2/0.1 = 6.2 x 10^-10

Solving for x, we get:

x = √(0.1 x 6.2 x 10^-10) = 7.87 x 10^-6 M

This is the concentration of [H⁺] and [CN⁻] in the solution when the acid is partially dissociated.

Next, we can calculate Kb using the relationship above:

Kw = Ka x Kb

1.0 x 10^-14 = (6.2 x 10^-10)(Kb)

Solving for Kb, we get:

Kb = 1.61 x 10^-5

Therefore, the answer is 1.61 x 10^-5.

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--The complete question is, Calculate Kb for a 0.1 M solution of cyanide ion, given that Ka for hydrocyanic acid is 6.2 x 10−10.--

Answer:

Continuous

Step-by-step explanation:

If its flowing over daily its continuous.

Answer:

y=0.25x+3

Step-by-step explanation:

Answer:

Your answer is D.

Step-by-step explanation:

The expression which is equivalent to \($\sqrt{768x^{19}y^{37}}\) is \($ 16x^9y^{18}\sqrt{3xy}\).

The Power rule for Exponents: \($(a m)^{n} = a^{m*n}.\)

To increase a number with an exponent to a power, multiply the exponent terms by the power.

In mathematics, power represents a base number increased to the exponent, where the base number exists as the factor which stands multiplied by itself and the exponent indicates the number of times the exact base number exists multiplied.

Let, the given equation be \($\sqrt{768x^{19}y^{37}}\) then

Separating the roots, we get

\($\sqrt{768x^{19}y^{37}} = \sqrt{768}\sqrt{x^19}\sqrt{y^37}\)

Simplifying the above equation, we get

\($\sqrt{x^19} = x^9\sqrt{x}\)

\($=\sqrt{768}x^9\sqrt{x}\sqrt{y^37}\)

\($\sqrt{y^37} = y^{18} \sqrt{y}\)

\($=\sqrt{768}x^9\sqrt{x}y^{18}\sqrt{y}\)

Equating the above equation,

\(\sqrt{768} =16\sqrt{3}\)

\(= 16\sqrt{3}x^9\sqrt{x}y^{18}\sqrt{y}\)

\(= 16\sqrt{3}x^9y^{18}\sqrt{x}\sqrt{y}\)

\($= 16x^9y^{18}\sqrt{3xy}\)

The expression which is equivalent to \($\sqrt{768x^{19}y^{37}}\) is \($ 16x^9y^{18}\sqrt{3xy}\).

Therefore, the correct answer is option D.\($ 16x^9y^{18}\sqrt{3xy}\).

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The quotient of 1065 ÷ 33 is \(32\ \frac{3}{11}\) .

1065 ÷ 33 = 32.2727272727

Dividend = 1065

divisor = 33

quotient = 32

balance = 9

answer as a mixed number  \(32\ \frac{9}{33} = 32\ \frac{3}{11}\)

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Step-by-step explanation:

If you want to make the improper fraction into a mixed fraction/decimal;

35/4 = 32/4 + 3/4 = 8 3/4 = 8.75.

The number equivalent to the improper fraction 35/4 is 8 3/4.

We have,

To convert the improper fraction 35/4 into a mixed number, divide the numerator (35) by the denominator (4):

35 ÷ 4 = 8 remainder 3

The quotient, 8, represents the whole number part, and the remainder, 3, represents the numerator of the fractional part.

So, the equivalent mixed number is:

8(3/4)

Therefore,

The number equivalent to the improper fraction 35/4 is 8 3/4.

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The solution to the system of equations is x = 3 and y = -8.  the two expressions for y and solve for x.

To solve the system of equations using the equal values method, we'll equate the two expressions for y and solve for x.

Given the equations:

y = 5x - 23   ...(Equation 1)

y = 2 1/2 - 3 1/2x   ...(Equation 2)

First, let's simplify Equation 2 by converting the mixed fractions into improper fractions:

y = 2 + 1/2 - 3 - 1/2x

y = 5/2 - 7/2x

Now, we'll equate the two expressions for y:

5x - 23 = 5/2 - 7/2x

To solve for x, we'll eliminate the fractions by multiplying the entire equation by 2:

2(5x - 23) = 2(5/2 - 7/2x)

10x - 46 = 5 - 7x

Next, we'll simplify the equation by combining like terms:

10x + 7x = 5 + 46

17x = 51

To isolate x, we'll divide both sides of the equation by 17:

x = 51/17

x = 3

Now that we have the value of x, we can substitute it back into either Equation 1 or Equation 2 to find the corresponding value of y. Let's use Equation 1:

y = 5(3) - 23

y = 15 - 23

y = -8

Therefore, the solution to the system of equations is x = 3 and y = -8.

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\(\huge\text{Hey there!}\)

\(\mathsf{9a + 3 + 4 + (3a + 1)}\\\mathsf{= 9a + 3 + 4 + 3a + 1}}\\\text{COMBINE the LIKE TERMS}\\\mathsf{= (9a + 3a) + (3 + 4 + 1)}\\\mathsf{= 9a + 3a + 3 + 4 + 1}\\\mathsf{= 12a + 7 + 1}\\\mathsf{= 12a + 8}\\\\\\\huge\text{Therefore, your answer should be: } \\\huge\boxed{\mathsf{12a + 8}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Ryan needs to make a  monthly deposit of $774.08 in order to have $30,000 for a down payment on a home.

To calculate the monthly deposit that Ryan needs to make in order to have $30,000 in 3 years, we can use the formula for the future value of an annuity:

FV = Pmt * [(1 + r)ⁿ - 1] / r

where FV is the future value (in this case, $30,000),

Pmt is the monthly deposit,

r is the monthly interest rate (5% / 12 = 0.00417), and

n is the number of compounding periods (36 months).

Substituting the values we have:

30,000 = Pmt * [(1 + 0.00417)³⁶ - 1] / 0.00417

38.75564454Pmt = 30,000

Pmt = 30,000/38.75564454

Pmt = $774.08

Therefore, Ryan needs to deposit approximately $774.08 each month in order to have $30,000 for a down payment on a home.

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Around 298 people can sing together with the same relative intensity to achieve a loudness of 80 decibels.

Given Information

Loudness of sound is given as, l = 10 log₁₀r

Here, r is the relative intensity.

Relative intensity of a single person when singing = 10

Loudness to be achieved, L = 10 decibels

Calculating the Number of People

Let the number of people with relative intensity 10 singing together be n decibels, then to produce a loudness of 80 decibels, we have,

80 = 10 log₁₀(r × n)

80 = 10 log₁₀(10 × n)  [∵ r = 10]

log₁₀(10 × n) = 8

10n ≈ 2980

n = 298

Therefore, 298 people, each with a relative intensity of 10 decibels can sing together to achieve a loudness of 80 decibels.

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Answer:

Each of them will have 0.8 kg of the candy.

Step-by-step explanation:

Don't have one sorry!

Answer:

4 + y = 36

y = 36 - 4

y = 32

Answer:4+y=-36

Step-by-step

apple pay me 7206923749

youre welcome have a great rest of youre day

A person with 20-40 vision can see up to 30 feet and a person with 20-100 vision can see up to 200 feet (No-one can see that far unless they are not human or unless they are a spirit.)

Answer:

The answer is x = 7

Step-by-step explanation:

The lines are the same lengths so you start by setting the top things on the line to the bottom ones. it'd look like this:

9 + x - 6 + 3 = 2x -2

Then you'd solve and that would look like this:

9 + x - 6 + 3 = 2x -2    *add like terms first*

5 + x = 2x -2                *then move x to one side by subtracting*

  -x       -x

5 = x - 2                        *then add 2 to both sides*

+2      +2

7 = x

Answer:

given;

inscribed angle =35°

central angle=35×2=70°

radius [r]=10in

area of shaded region=70°/360×πr²

=70°/360×π×10²=159π/9 in²

The team had at least one of them playing for 57 minutes in total.

To calculate the total minutes the team had at least one of them playing, we need to consider the individual playing times and the time they played together.

Ann played 19 minutes, Dave played 17 minutes, and Bob played 18 minutes. Together, they played 8 minutes as pairs, and all three played together for 3 minutes.

To determine the total minutes at least one of them was playing, we can sum their individual playing times and subtract the time they played together twice (as pairs) and the time all three played together once.

Total minutes at least one of them was playing = Ann's playing time + Dave's playing time + Bob's playing time - (time played together as pairs) - (time all three played together)

Total minutes = 19 + 17 + 18 - (8 * 2) - 3 = 57 minutes

The team had at least one of Ann, Dave, or Bob playing for a total of 57 minutes.

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Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

2×5=10

Hope this helps :)

Answer:

1 hour and 5 minutes

Step-by-step explanation:

Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes

The following equations on the coordinate plane is shown in graph.

Suppose the considered function whose graph is to be made is

f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f(x)

are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

Given that;

y=1/2x-4

y=-3x+8

Now,

The solution of graph is the marking of locus of the equations given.

Therefore, graphs the equations are drawn in the image.

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The limit of 5x²/sin(6x)sin(x) as x approaches 0 is 5/6.

In the given expression, we have a fraction with multiple terms involving trigonometric functions. Our goal is to simplify the expression so that we can evaluate the limit as x approaches 0.

First, we observe that as x approaches 0, both sin(6x) and sin(x) approach 0. This is because sin(θ) approaches 0 as θ approaches 0. So, we can use this property to rewrite the expression.

Next, we use the fact that sin(x)/x approaches 1 as x approaches 0. This is a well-known limit in calculus. Applying this property, we can rewrite the expression as:

limx→0 5x²/sin(6x)sin(x)

= limx→0 (5x²/6x)(6x/sin(6x))(x/sin(x))

Now, we can simplify the expression further. The x terms in the numerator and denominators cancel out, and we are left with:

= (5/6) (6/1) (1/1)

= 5/6

Thus, the limit of 5x²/sin(6x)sin(x) as x approaches 0 is 5/6.

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First we are going to use the prime factorization

30 90 210 I 2 First, divide all numbers by 2, because they are even numbers.

15 45 105I 5 Then, divide all numbers by 5 because they are multiples of 5

3 9 21 I 3 Then, divide all numbers by 3 because they are multiples of 3

1 3 7 I 3 Then, divide by 3

1 1 7 I 7 Then , divide by 7

1 1 1

Finally, we multiply our prime factors: 2*5*3*3*7 = 630

Our final answer is : 630

Answer:

x = 55 ; y = 60

Step-by-step explanation:

Answer:

n6

Step-by-step explanation:

Answer:

The expression for Simon's age in terms of the variable m would indicate that Simon's age is equal to four times Marcie's age plus 3:

s=4m+3 (1)

Also, you know that the sum of their ages is 58, which is:

s+m=58 (2)

You can replace (1) in (2) and solve for m to find Marcie's age:

4m+3+m=58

5m=58-3

5m=55

m=55/5

m=11

Finally, you can replace m in (1) to find Simon's age:

s=4(11)+3

s=44+3

s=47

According to this, Marcie is 11 years old and Simon is 47 years old.