If B=-2t+1B=−2t+1 and A=t+9,A=t+9, find an expression that equals 2B+2A2B+2A in standard form.

Answer:

x = 110

Step-by-step explanation:

540 - 430 = 110

Answer:

Part 1)

\(f(g(x))=10x^3+16\)

Part 2)

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

We are given the two functions:

\(f(x)=2x^2+16\)

Which represents the amount of money Raul earns per ticket and:

\(g(x)=\sqrt{5x^3}\)

Which represents the number of tickets Raul sells per hour.

Part 1)

We want to find f(g(x)).

So, we substitute g(x) for f(x). This yields:

\(f(g(x))=2(\sqrt{5x^3})^2+16\)

This can be expanded a simplified as such:

\(f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16\)

Part 2)

Recall that f(x) outputs the amount of money Raul earns per ticket.

And g(x) inputs the amount of hours Raul works.

When we composed f(g(x)), the input and output stayed the same.

So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).

Answer:

The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works

Step-by-step explanation:

Answer:

2-7x

Step-by-step explanation:

Answer:

I believe it is $17.6

Step-by-step explanation:

40 x 0.4 = 16 -------> 16 x 0.1 = 1.6

add 1.6 to $16 which equals 17.6

Answer:

(3x+1)(x+3) is the factorised form for the expression.

Step-by-step explanation:

:3

x

2

+

10

x

+

3

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like  

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

3

⋅

3

=

9

and,

N

1

+

N

2

=

b

=

10

After trying out a few numbers we get:

N

1

=

9

and  

N

2

=

1

9

⋅

1

=

9

, and  

9

+

(

1

)

=

10

3

x

2

+

10

x

+

3

=

3

x

2

+

9

x

+

1

x

+

3

=

3

x

(

x

+

3

)

+

1

(

x

+

3

)

(

3

x

+

1

)

(

x

+

3

)

is the factorised form for the expression.

is the factorised form for the expression.

The SRT is approximately 12,000 days.

To find SSV, we use the formula:

SSV = (30 × VSS) / MLV

We don't have a value for VSS, but we can estimate it using the following relationship:

MLVSS = VSS + fixed suspended solids (FSS)VSS

= MLVSS - FSS

We can estimate FSS as follows:

FSS = (SVI / 1,000) × MLVSS

= (122 / 1,000) × 1,202

= 146.8 mg/L

Therefore:

VSS = MLVSS - FSS

= 1,202 - 146.8

= 1,055.2 mg/L

Now we can calculate SSV:

SSV = (30 × VSS) / MLV

= (30 × 1,055.2) / 1,202

= 26.33 L/kg

Now we can substitute all the values into the SRT formula:

SRT = MLVSS × SSV / QW

= (1,202 × 26.33) / 2.648E-3

≈ 12,000 days (rounded to the nearest tenth)

Therefore, the SRT is approximately 12,000 days.

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Answer:

3/10 of people vacationed in another state.

Step-by-step explanation:

Because there are 60 people in total, the denominator has to be 60. The numerator then is going to be the amount of people that vacationed in another state. Simplify that fraction by 6, and you will get 3/10 as your answer.

Answer:

\(\frac{3}{10}\)

Step-by-step explanation:

Since we want a fraction, we find the total number of people who vaccinated, then we find how many people vacationed in another state.

18+10+5+15+12=60, and 18 people vacationed in another state, we get

\(\frac{18}{60}\), and we can divide top and bottom by 2, we simplify to \(\frac{3}{10}\)

Answer:

9:5

5:14

Step-by-step explanation:

Answer:

your right it is a rational number

False. The correlation coefficient can vary between -1 and 1, and it can be negative.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, inclusive. A value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases proportionally. A value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases proportionally. A correlation coefficient of 0 indicates no linear relationship between the variables.

Therefore, the statement that the correlation coefficient varies between 0 and 1 and can never be negative is false. The correlation coefficient can indeed be negative, indicating a negative relationship between the variables. It is important to note that the correlation coefficient only measures the strength and direction of the linear relationship between the variables and does not capture other types of relationships, such as non-linear or causal relationships.

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Answer:

C)

Step-by-step explanation:

3 + (1) = 4

4 + (2) = 6

6 + (3) = 9

9 + (4) = 13

Answer:

C.) The pattern is add 1, then add 2, then add 3, then add 4.

Step-by-step explanation:

The solution to the simultaneous equation is y = 5.5 and x = 1.5

Simultaneous equations are the types of equations in mathematics that is made up of two equations where the equations would have to share variables.

we have

y = 3x + 1 - - - - 1

x + y = 7 - - - - 2

we have to put the value of y in equation 1 into equation 2

we would have

x + 3x + 1 = 7

4x + 1 = 7

4x = 7 - 1

4x = 6

x = 6 / 4

x = 1.5

put the value of x in equation 2 to get y

1. 5 + y = 7

y = 7 - 1.5

y = 5.5

Therefore the values of y is 5.5 while the value of x is 1.5

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The required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
y = 3x + 1    _ _ _ _ _ _ (1)
x + y = 7      _ _ _ _ _ _ (2)
From equation 2
y = 7  - x substitute this in equation 1
7 - x = 3x + 1
4x = 6
x = 6 / 4
x = 3 / 2
Now put this x in equation 2
3/2 + y = 7
y = 7 - 3/2
y = 11 / 2

Thus, the required solution of the given simultaneous equation is x = 1.5 and y = 5.5.

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An equation is formed of two equal expressions. The correct option is C.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given statement in the form of equations can be written as,

1. The sum of m and n is 32 ⇒ m + n = 32

2. The value of m is three times the value of n ⇒ m=3n

Hence, the correct option is C.

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Answer:

Step-by-step explanation: Let's solve for b.

m=(−4b)(10)

Step 1: Flip the equation.

−40b=m

Step 2: Divide both sides by -40.

−40b

−40

=

m

−40

b=

−1

40

m

Answer:

b=

−1

40

m

Answer:

50

Step-by-step explanation:

The value of x is 50 degrees

bcoz it is isosceles triangle

so two angles are equal

so value of x is 50

I hope this will help u

Answer:

x=5

Step-by-step explanation:

Answer:

Find the slope of the line that passes through the pair of points. (–5.5, 6.1), (–2.5, 3.1)

Use the slope formula to find the slope  m .

m =  − 1

Step-by-step explanation:

The slope is  

m

=

−

1

Explanation:

The slope can be found by using the formula:  

m

=

y

2

−

y

1

x

2

−

x

1

Where  

m

is the slope and (

x

1

,

y

1

) and (

x

2

,

y

2

) are the two points on the line.

Substituting the values from the points in the problem gives:

m

=

3.1

−

6.1

−

2.5

−

−

5.5

=  3.1  −  6.1  −  2.5  +  5.5 =  − 3/ 3 =  − 1

...............................................................................................................................................

,(6.1-3.1)/(-5.5-2.5) = 3/-8 = -3/8=-.375

...............................................................................................................................................

ANSWER

The slope is

EXPLANATION

The slope of the line that passes through,

can be found using the formula,

So we let,

and

We substitute them into the formula to get,

This gives us,

We simplify to get,

slope = -1

The product of the terms   \((d - 9)\)  and  \((2d^{2} + 11d -4)\)  will be \((2d^{3} - 7d^{2} - 103d + 36)\).

We have to find the product of two terms.

First term = (d - 9)

Second term = \((2d^{2} + 11d -4)\)

To find the product of these two terms, we will be using the distributive property. According to the distributive property, when we multiply the sum of two or more addends by a number, it will give the same result as when we multiply each addend individually by the number and then add the products together.

We have to find :  \((d - 9) (2d^2 + 11d -4)\)

Using the distributive property,

\(d * 2d^{2} + d * 11 + d * (-4) - 9 * 2d^2 - 9 * 11d - 9 * (-4)\)

After further multiplication, we get

\(2d^{3} + 11d^2 - 4d - 18d^{2} - 99d + 36\)

Now, combine all the like terms.

\(2d^{3} + 11d^{2} - 18d^{2} - 4d - 99d + 36\)

\(2d^{3} - 7d^{2} - 103d + 36\)

Therefore, the product of d-9 and 2d^2 + 11d -4 is \(2d^{3} - 7d^{2} - 103d + 36\)

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If the average waiting time in the line is 18 minutes, it is not possible to determine the number of customers at the carwash without additional information such as the service rate or arrival rate.

The number of customers at the carwash depends on various factors such as the service rate, arrival rate, and the distribution of service times. Without knowing these factors, it is not possible to accurately determine the number of customers at the carwash.

However, we can make some general observations. If the service rate is high, it is likely that the waiting time will be lower, and hence, the number of customers at the carwash will be lower. On the other hand, if the service rate is low, the waiting time will be higher, and hence, the number of customers at the carwash will be higher.

Similarly, if the arrival rate is high, the number of customers at the carwash will be higher, and if the arrival rate is low, the number of customers will be lower. Therefore, to determine the number of customers at the carwash, we need to know both the arrival rate and the service rate.

In conclusion, knowing only the average waiting time in the line is not sufficient to determine the number of customers at the carwash. Additional information such as the arrival rate and service rate is required to make an accurate estimation.

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Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.

Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.

calculation

Let s = brittany 's age now

Let t = steve's age now

s = 3t

s + 9 = 2 (t+9)

s + 9 = 2t + 27

s = 2t + 27 - 9

s = 2t + 18

Substitute 3t for s and find t

3t = 2t + 18

3t - 2t = 18

t = 18 yrs is steve's age

then

s = 3(18)

s = 54 yrs is brittany's age

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

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Answer:

The probability that a randomly selected group of four trees can be used as timber is 4.5 × 10⁻⁵

Step-by-step explanation:

The given parameters are;

Mean = 34 cm

The standard deviation = 8 cm

The mean

The Z score is \(Z=\dfrac{x-\mu }{\sigma }\), which gives;

For x  = 30 we have;

\(Z=\dfrac{30-34 }{8 } = -0.5\)

P(x>30) = 1 - 0.30854 = 0.69146

For x = 40, we have

\(Z=\dfrac{40-34 }{8 } = 0.75\)

P(x < 40) = 0.77337

Therefore, the probability that the mean of four trees is between 30 and 40 is given as follows;

P(30 < x < 40) = 0.77337 - 0.69146 = 0.08191

The probability that a randomly selected group of four trees can be used as timber is given as follows;

Binomial distribution

\(P(X = 4) = \dbinom{4}{4} \left (0.08191\right )^{4}\left (1-0.08191 \right )^{0} = 4.5 \times 10^{-5}\)

Answer:

MNI = 135º

Step-by-step explanation:

From the picture, we have the two internal angles as \(6x\) and \(15x-12\). The third, the angle ∠MNL is 180 - 19x-2. Therefore,

\(15x-12+6x+(180-19x-2)=180\)

So,

\(15x-12+6x+180-19x-2=180\)

\(15x-14+6x-19x=0\)

\(2x=14\)

\(x=7\)

Finally,

∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º

The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

Then the equation is given as,

∠NLM + ∠LMN = ∠MNI

6x + 15x - 12 = 19x + 2

2x = 14

x = 7

Then the measure of the angle ∠MNI is calculated as,

∠MNI = 19 (7) - 2

∠MNI = 133 - 2

∠MNI = 131°

The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

\(4bc^{2} ( {a}^{2} - 9 {b}^{2} )(a {x}^{2} + bx + c)\)

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

Given:

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

Therefore, approximately 239,000,000 pages would be needed to stack them and reach the moon.

To determine the height of the stack of paper in kilometers, we need to convert the thickness of a single sheet of paper from millimeters to kilometers, and then multiply it by the number of sheets used by an office employee.

First, let's convert the thickness of a single sheet from millimeters to kilometers:

0.1 mm = 0.1 mm * (1 m / 1000 mm) * (1 km / 1000 m)

Converting the units:

0.1 mm = 0.0000001 km

Next, we can calculate the height of the stack in kilometers:

Height of stack = Thickness of a single sheet * Number of sheets used

Height of stack = 0.0000001 km * 10,000 sheets

Calculating the value:

Height of stack = 0.001 km

Therefore, the stack of paper would be 0.001 kilometers tall.

To determine the number of pages needed to reach the moon, we need to calculate the distance in kilometers and then divide it by the height of the stack.

Number of pages = Distance to the moon / Height of stack

Number of pages = 239,000 km / 0.001 km

Calculating the value:

Number of pages ≈ 239,000,000

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The kite is about 16.5 yards above the edge of the pond.

You are flying a dragon kite. It's connected to 36 yards string. The kite is directly above the end of the pond. The edge of the pond is 32 yards where the kite is tied to the ground.

Therefore, the height of the kite above the ground can be calculated as follows:

This situation form a right angle triangle. Hence, using Pythagoras's theorem,

Therefore,

h² = 36² - 32²

h² = 1296 - 1024

h = √272

h = 16.4924225025

Hence, the height of the kite is 16.5 yards.

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Answer:

Step-by-step explanation

(a) 1/10 × 750g=75g

(b)1/10 ×45g=4.5g

(c)1kg=1000g

=1/10×1000g=100g

(d)1/10×1259g=125.9g

Hope it helps you!!

Answer:

Step-by-step explanation:

a) Amount of Sugar = (1/10) of 750 g

                                 \(\frac{1}{10}*750\\\\\)

                                = 75 g

b)Amount of Sugar = (1/10) * 45

                                = 4.5 g

c) Amount of Sugar = (1/10) * 1000 g   {1 kg = 1000g}

                                = 100 g

d) Amount of Sugar = (1/10) *1259

                                = 125.9 g

Answer:

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62

The x-intercept of the line is: -4.

The y-intercept is: -8

The y-intercept of a line is the point where the line cuts across the y-axis (vertical axis), which is the value of y when x is zero.

The x-intercept of a line is the point where the line cuts across the x-axis (horizontal axis), which is the value of y when x is zero.

Given that a line passes through (-4, 0) and (0, -8), it means that:

The line cuts the y-axis at y = -8

The line cuts the x-axis at x = -4.

Therefore, we can state that the y-intercept of the line is -8, while the x-intercept of the line is -4.

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Answer:

Step-by-step explanation:

a)y=2x+3

b)y=2x+2

c)y=-2x+3