the sum of bill and ted's age is 60. in two years, bill will be three times as old as ted. how old are bill and ted now?

54.6 Btu is the value of 57,281 joules in btus .

What does Jule mean?

A measure of energy or work that is equivalent to the work completed by a force of one newton moving through a distance of one meter The term "joule" is frequently used in the context of physics to refer to units of energy.

                     Lifting an apple, which weighs roughly one Newton, is one example used to demonstrate a joule. One joule of work is expended if you lift the apple one meter into the air.

The conversion used from Joules to Btu is:

1 Btu = 1055.06 J

or,

 1J = 1/1055.06  Btu

 given that the energy 57281 J. Now we have to determine the energy in Btu.

As,    1J = 1/1055.06  Btu

      57281J = 57281J/1J * 1/1055.06 Btu

              = 54.6 Btu

Therefore, the correct option is, (B) 54.3 Btu.

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Answer: 54.3 Btus

Step-by-step explanation:

Information organised in rows and columns, such as numbers and descriptions is known as table.

General tables and summary tables are the two broad types into which statistical tables can be divided.

General tables

General tables include a compilation of specific data that is all pertinent to the topic or theme. Such tables are typically included in the appendices of reports and serve the primary function of assembling all the information on a given issue for quick reference.

Summery tables

Summary tables are made to accomplish a number of distinct tasks. They are typically included into the text, smaller in size than regular tables, and focus on a particular component of the data. Because they are generated from the general tables, the summary tables are also known as derivative tables. The data in the summary table is intended for analysis and inference. They are also known as interpretative tables as a result.

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Answer:

Step-by-step explanation:

Based on the dot plot, it appears that the majority of the distances Roger ran in his tennis matches last month were between 4 and 6 kilometers. There are 3 dots representing 3 km, 4 dots representing 4 km, 5 dots representing 5 km, and 4 dots representing 6 km. There are no dots representing distances less than 3 km or greater than 7 km.

Therefore, a reasonable estimate of the probability that Roger runs less than 5 km in his next tennis match is low, as the data suggests that the majority of the distances he ran last month were at least 4 km.

Therefore , the solution of the given problem of function comes out to be A(x) = 23.

The subject of mathematics includes quantities including their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a group of inputs, of which each has an associated output. A  variable association between inputs and outcomes in which each input leads to a single, distinct result is known as a function. Each function is given a region and a require a small space, or scope.

Here,

As a result, h(x) = x2-10x+21 A(x) =y/x =-1 x 10 A(x)=?

A(x) = y/x =h(x-g)-h(x)/g

=> g = Xmax - Xmin

=> g = 10-(-1)

=> g = 10+1

=> g = 11.

A(x) =(x-11)

² - 10*(x − 11) + 21 − (x² - 10x+21) /11

=> A(x)= x²- 22x+121-10x + 110 + 21 - x² + 10x -21/11

=>A(x) =231 - 22x /11

=>A(x)= 11 * (21-2x)/11

A(x) = 21-2x.

x = Xmin => A(x) = 21-2 (−1)

=>A(x) = 21+ 2

=>A(x) = 23

Therefore , the solution of the given problem of function comes out to be A(x) = 23.

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The intersection of all of those intervals always be a closed interval if it is nonempty

Given that

for an arbitrary collection of closed intervals

the intersection of all of those intervals always be a closed interval if it is nonempty it's true

An arbitrary (finite, countable, or uncountable) intersection of

closed sets is closed.

Let C0 = [0, 1], C1 = [0, 1/3] ∪ [2/3, 1], and

C2 = [0, 1/9] ∪ [2/9, 1/3]∪ [2/3, 7/9] ∪ [8/9, 1]

In general, let

Cn =(1/3 [tex]C_{n-1}[/tex])U(1/3[tex]C_{n-1}[/tex] + 2/3)

Let C = ∩n>1Cn, called Cantor’s middle-third set. Show that C is

a closed set.

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Therefore , the solution of the given problem of angles comes out to be

r1 (1) = r2.

An angle is a form in Euclidean geometry composed of two rays, called the hook's flanks, that converge at a point in the middle known as the vertex of the angle. In the plane that they are located, two ray may combine to make an angle. The collision of two planes also produces an angle. Dihedral angles are what we call them.

Here,

Make the pair of elements

r1 (t) = r2 (s) t = 7 - s

or

t + s = 7 equal to one another.

35 + t2 = s2, or 35 - t2 = 4, or s2 - t2 = 35

Step 2: Using the t value from equation 1, simplify equation 3.

35 + ( 7 - s ) ( 7 - s )

2 = s2 14s = 84 s = 6 and t = 1 are equivalent to.

Step 3: In formulas (1), (2), and, substitute these values of "t" and "s"

(3).

r1 (1) = r2

(6) = (1, 3, 36) (1, 3, 36)

Therefore , the solution of the given problem of angle comes out to be

r1 (1) = r2.

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Answer: 8/100 or 2/25

Step-by-step explanation:

8% is automatically out of 100% so it would be

8/100

and the simplified version would be 2/25

Answer: 2/25

Step-by-step explanation:

The probability of selecting a red or a blue tile from one of the bags is 1. This can be calculated by adding the probability of selecting a red tile (6/10) and the probability of selecting a blue tile (4/10) together. The equation for this is P(Red or Blue) = P(Red) + P(Blue), which simplifies to 10/10, or 1.

The probability of selecting either a red or blue tile from one of the bags can be calculated using the following equation:

P(Red or Blue) = P(Red) + P(Blue)

where P(Red) is the probability of selecting a red tile and P(Blue) is the probability of selecting a blue tile.

In this case, P(Red) = 4/10 and P(Blue) = 6/10. Therefore, the probability of selecting either a red or blue tile from one of the bags is:

probability of selecting

P(Red or Blue) = 4/10 + 6/10

P(Red or Blue) = 10/10

P(Red or Blue) = 1

This means that there is a 100% chance of selecting either a red or blue tile from one of the bags.

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Answer: The height of an object can be determined using the relationship between the height of an object, the length of its shadow, and the length of a reference shadow. This relationship is given by the formula:

Height of object = (Height of reference object x Length of object's shadow) / Length of reference shadow

Given that a 4-ft vertical post casts a 10-in shadow at the same time a nearby cell phone tower casts a 125-ft shadow, we can use this formula to find the height of the cell phone tower:

Height of the cell phone tower = (4 ft x 10 in) / 125 ft

To find the height of the cell phone tower, we have to convert the 10 inches to feet, since the reference object's height is in feet.

10 inches = 10/12 ft = 5/6 ft

Height of the cell phone tower = (4 ft x 5/6 ft) / 125 ft

Height of the cell phone tower = 20/125 ft = 16/125 ft = 128/1025 ft = 128/1025 * 12/12 in = 128/85 ft

So the cell phone tower is 128/85 ft or (128/85) * 12 = 128/7 ft = 18.285714 ft tall.

The cell phone tower's height is 18.285714 ft.

Step-by-step explanation:

The price difference between the two different frame sizes £25.

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. LHS = RHS is a common mathematical formula.

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:

let the price for small frame be x.

and, the price for large frame be y.

As, One small picture frame and one large frame costs £65.

It costs £170 to buy two of the larger frames and four of the smaller frames.

So, the system of equation are:

x+ y = 65..................(1)

4x+ 2y = 170

2x + y = 85.....................(2)

Solving equation (1) and (2) we get

2x + 65 -x = 85

x = 20

and, y = 65- 20 = 45

Hence, the difference if of £25.

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Answer:

Step-by-step explanation:

The depth of the submarine after 6 minutes would be -182.9 ft. below sea level. This is calculated by taking the starting depth of -250 ft. and adding 12.1 ft. for each minute (6 minutes x 12.1 ft. = 72.6 ft.). Therefore, -250 + 72.6 ft. = -182.9 ft. below sea level.

Answer:

y = - 7

Step-by-step explanation:

5y + 13 = - 43 - 3y ( add 3y to both sides )

8y + 13 = - 43 ( subtract 13 from both sides )

8y = - 56 ( divide both sides by 8 )

y = - 7

Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.

To make a 75% sugar syrup, Anton will need 75% sugar and 25% water by weight. To find out how much sugar and how much water he needs, we can use the following formulas:

Sugar weight = 5lbs x 75% = 3.75lbs

Water weight = 5lbs x 25% = 1.25lbs

So Anton needs 3.75 lbs of sugar and 1.25 lbs of water to make 5 lbs of 75% sugar syrup.

It's important to note that syrup with 75% sugar content is heavy syrup, it is mostly used for preservation and not as a sweetener.

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Answer:

30.144 or 3.14 if rounded.

Step-by-step explanation:

First you need to find the area of the table top

a = [tex]\pi r^{2}[/tex]

a = (3.14) ([tex].8^{2}[/tex])    The radius is the half of the diameter 1.6/2 = .8

a = 3.14(.64)

a = 2.0096

The area is 2.0096 [tex]m^{2}[/tex]

the cost will be

2.0096 x 15 = 30.144 rupees

Doe you round rupees to the nearest hundredths' place?  I am not sure. Rounded the number would be 30.14

Yes, Charlie can finish the work by 4:30 pm

With Mr. Brown, he has an appointment for 1 × [tex]1^{1}[/tex] hour

[tex]1^{1}[/tex] = 1

∴ 1 × 1 = 1 hour

So if he starts work at 9:15 am, he will finish an appointment with Mr. Brown at 10:15 am

9:15 means 9 hours 15 minutes

9 hours 15 minutes + 60mins   [1 hour = 60 mins]

9 hours 75 mins ⇒ 10:15 am

With Mr Pryce he has an appointment for 1 hour 10 mins. He willl finish with him at 11:25 am

1 hour 10 minutes ⇒ 60 + 10 = 70 minutes

At 10:15am he starts work with Mr Pryce,

⇒10:15 + 70 minutes = 10:85 minutes = 11:25 am

Then if he takes a 45 minutes break,

11 hours 25 mins + 45 mins = 11 hours 70 mins = 12:10 pm

With Sam he has an appontment for 3 × [tex]1^{1}[/tex] hours. He will complete with him at 3:10 pm

⇒ 3 × 1 = 3 hours

At 12: 10 he starts with Sam,

12:10 means 12 hours 10 mins.

12 hours 10 mins + 3 hours = 15 hours 10 mins

⇒ 3:10 pm

Thus he finishes his work by 3:10 pm which is 1 hour 20 mins before 4:30 pm.

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So on solving the provided question we can say we can plotting data by x = 0.83; y = 0.79; z = 0.83

The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables. Diagrams created by hand or on a computer are also acceptable. Move 2 units to the right after starting at the origin before going 3 units up. The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points. The pink dot with the letter P thus stands for 2.3. Before creating a line chart, you need first generate a number line for each value in your data collection. Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.

x = 0.83

y = 0.79

z = 0.83

xa = 0.85

ya = 0.85

za = 0.85

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The probability that the veterinarian will conclude that the h6n2 virus is not present in the flock is 0.988

Since there are only two possible outcomes for this problem—that the bird is infected or not—the probability of a binomial distribution is involved.

Let's now assume that in this case, x represents a random variable that represents the number of afflicted chickens.

P(false positive test)=0.05, suggests that.

False positive tests indicate that the bird is not infected but the veterinarian still reports that it is. P(false negative test)=0.10 where.

False negative results indicate that the bird is infected even though the veterinarian says it is not.

Then, P(bird tested false positive) = 1-0.05=0.95 and P(bird is not infected) = 1.

Similar to that, P(bird tested false negative) = 1 - P(bird tested positive) 1- 0.10=0.90

Now, according to the question, the flock is considered contaminated if at least three out of every ten chickens are infected.

Therefore, i, if the veterinarian does not declare the birds as infected, it merely signifies that less than 3 birds are infected.

P(vet declares uninfected) then equals P(x=0) + P(x=1) + P(x=2)

P= (0.05)⁰ (0.95¹⁰) + (0.05)¹ (0.95)⁹ +(0.05)² (0.95)⁸ = 0.988

This is calculated, and the result is 0.988.

your question is incomplete but most probably your full question was

suppose a veterinarian applies the procedure to a flock of 100,000 chickens at a commercial egg production farm. the elisa test is known to have probability 0.05 of producing a false positive result and probability 0.10 of producing a false negative result for a single chicken. if no chicken in the flock is infected with the h6n2 virus, what is the probability that the veterinarian will conclude that the h6n2 virus is not present in the flock? show how you found your answer.

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On solving the provide question, we can say that by linear equation the value  2000 times

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

[tex]8*10^6/(4*10^3)\\=(8/4)*(10^6/10^3)\\=2*(10^3)\\=2*1000\\=2000 times[/tex]

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Yes , there can be a triangle that can have the side lengths as 10.2cm , 5.8cm and 4.5cm .

it is only possible to form a triangle , when the sum of the any two sides of the triangle is greater than the third side of triangle .

the side lengths of the triangle are given as : 10.2cm , 5.8cm and 4.5cm  ;

So , on adding any two side lengths and comparing it with third side ,

we get ;

⇒ 10.2 + 5.8 = 16 > 4.5 ; True

⇒ 5.8 + 4.5 = 10.3 > 10.2 ; True

⇒ 10.2 + 4.5 = 14.7 > 5.8 ;  True .

All the three sides follow the condition ,

Therefore , the given side lengths form a triangle .

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The steps of elimination system of  equations are as follows.

1. Both equations should be written in standard form.

2. Make the opposites of a single variable's coefficients.

3. Step 2's equations are combined to remove one variable.

4. Calculate the value of the last variable.

5. In one of the original equations, substitute the step-four solution.

What is an equivalent system of equations?

Equation systems are referred to as equivalent systems when their solutions are the same. Given a system of two equations, we can create an equivalent system by substituting one equation with the sum of the two equations or by substituting one equation with a multiple of itself.

We have to write an equivalent system that will eliminate one of the variables when you add the equations.

The steps of elimination system of  equations are as follows.

1. Both equations should be written in standard form.

2. Make the opposites of a single variable's coefficients.

3. Step 2's equations are combined to remove one variable.

4. Calculate the value of the last variable.

5. In one of the original equations, substitute the step-four solution.

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Answer:

[tex]f(g(x)) = \boxed{\dfrac{x}{2}}[/tex]

[tex]g(f(x)) = \boxed{2x - 5}[/tex]

Step-by-step explanation:

We have the following two functions
[tex]f(x) = \dfrac{1}{x-5}\\\\g(x) = \dfrac{2}{x}+\:5[/tex]

To find [tex]f(g(x))[/tex]  substitute the expression for [tex]g(x)[/tex]  wherever you see an [tex]x[/tex] in [tex]f(x)[/tex]

[tex]\mathrm{For}\:f=\dfrac{1}{x-5}\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{2}{x}+5[/tex]

[tex]=\dfrac{1}{\dfrac{2}{x}+5-5}\\\\[/tex]

[tex]=\dfrac{1}{\dfrac{2}{x}}\\\\\\= \dfrac{x}{2}[/tex]    ANSWER

To find [tex]g(f(x)[/tex], substitute the expression for [tex]f(x)[/tex]  wherever you see an [tex]x[/tex] in [tex]g(x)[/tex]

[tex]\mathrm{For}\:g=\dfrac{2}{x}+5\:\mathrm{substitute}\:x\:\mathrm{with}\:\dfrac{1}{x-5}\\\\=\dfrac{2}{\dfrac{1}{x-5}}+5\\\\[/tex]

[tex]=2\left(x-5\right)+5\\\\= 2x - 10 + 5\\\\= 2x - 5\\\\[/tex]ANSWER

Note:

[tex]\dfrac{2}{\dfrac{1}{x-5}}=2\left(x-5\right)\\\\[/tex]

Answer:

other leg ≈ 7.5 cm

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x represent the other leg , then

x² + 13² = 15²

x² + 169 = 225 ( subtract 169 from both sides )

x² = 56 ( take square root of both sides )

x = [tex]\sqrt{56}[/tex] ≈ 7.5 cm ( to the nearest tenth )

On solving the provided question, we can say that the equation has infinitely many answers, c = 2

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

the equation

cx + d=4(0.5x - 5).

the equation has infinitely many answers

c = 2

as,  2x + d=4(0.5x - 5).

d = infinite

so has infinitely many answers

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Answer:

(a) (9 , 5)

(b) (-9 , -5)

Step-by-step explanation:

When you are reflecting over the y-axis, you are changing the sign of the x value.

When you are reflecting over the x-axis, you are changing the sign of the y value.

1) Reflect the point (-9 , 5) across the y-axis.

Based on the rule stated above, when you reflect over the y-axis, you are changing the x value sign:

(x , y) = (-9 , 5)

Reflected over the y-axis: (-9 , 5) becomes (9 , 5).

2) reflect the point (-9 , 5) across the x-axis.

Based on the rule stated above, when you reflect over the x-axis, you are changing the y-value sign:

(x , y) = (-9 , 5)

Reflected over the x-axis: (-9, 5) becomes (-9 , -5).

~

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Answer:

Reflected across the y-axis:  (9, 5)

Reflected across the x-axis:  (-9, -5)

Step-by-step explanation:

The mapping rule for a reflection across the y-axis is:

Therefore, point (-9, 5) reflected across the y-axis is (9, 5).

The mapping rule for a reflection across the x-axis is:

Therefore, point (-9, 5) reflected across the x-axis is (-9, -5).

Answer:

a)

x+y=24---1

y= 2x ---2

subs 2 in 1

x+2x=24

3x=24

x=8

when x=8 subs in 2

y=2(8)

y=16

b)

2x+y=100---1

y=2(x-10)---2

subs 2 in 1

2x+2(x-10)=100

2x+2x-20=100

2x+2x=100+20

4x=120

x=30

when x=30 subs in 2

y=2(30-10)

y=2(20)

y=40

c)

x+y=26---1

3x+y=56---2

from 1

x+y=26

y=26-x---3

subs 3 in 2

3x+26-x=56

3x-x=56-26

2x=30

x=15

when x=15 subs in 3

y=26-15

y=11

The water is given on alternate days.

According to the explanation given in the question, the Saharan islands make strong efforts to conserve their water resources. Part of these efforts includes not wasting water on plants that don't require it. Sometimes, we overwater plants, and the extra water simply evaporates into the atmosphere.

Palm trees, on the other hand, only require watering every other day, which is why they are only watered on alternate days. The precise amount of water provided to each tree in a real-world oasis would depend on a number of variables, including the age and health of the tree, the climate, and the availability of water. However, this is a hypothetical situation.

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On solving the provided question we can say that the value of the equation will be 20-15=5 B

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Girls 4/(4+3)* 35= 20

Boys: 35-20= 15

Ans 20-15=5 B

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2,352,071.15 ft^3 is closest to the volume, in cubic feet, of the sphere .

What does sphere refer to?

The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the center, making it a three-dimensional solid. Depending on the radius, it has a surface area and a volume.

The volume of a sphere = 4/3 π r^3    where r is the radius.

Here the radius = 1/2 * 165 = 82.5 ft.

So the volume  = 4/3 π (82.5)^3

= 2,352,071.15 ft^3

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Answer:

Let G be Emily's gross pay.

Deductions:

FIT = 112

State Tax = 0.04G

City Tax = 0.015G

Social Security and Medicare

Net pay = Gross pay - Deductions

3,223 = G - 112 - 0.04G - 0.015G - Social Security - Medicare

We can then solve for G by isolating it on one side of the equation:

3,223 + 112 + 0.04G + 0.015G = G - Social Security - Medicare

3,223 + 0.055G = G - (Social Security + Medicare)

Now we can solve for G by dividing both sides by 1.055

G = 3223 / 1.055 + (Social Security + Medicare)

So we can find the gross pay but we don't have the exact amount for Social Security and Medicare that are being deduced.