What is the measure of angle indicated?​

The largest share is equivalent to 180.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that $360 is divided in the ratio 2 : 7 : 9.

We can write the equation as -

2x + 7x + 9x = 360

18x = 360

x = 20

For the largest share, the largest share is equivalent to 9x. The largest share will be -

9 x 20 = 180

Therefore, the largest share is equivalent to 180.

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Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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Answer:

8in³

Step-by-step explanation:

Volume is given as the product of surface area and height.

V=Ah

Where h is height and A is surface area. Here, the surface area is given 1 square inches and the height is 8 inches then the volume will be given as

V=1*8=8 cubic inches

Therefore, the volume of the bird feeder is equal to 8 cubic inches

Answer:

The system of equations has no solution.

Step-by-step explanation:

set them equal to eachother. 3x+9=3x-4

Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.

The value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 is 1 / 2.㏒₁₀(1.5)

Given: To evaluate ㏒₁₀√3 - 1 / 2 . ㏒₁₀2

What are logarithms?

If a equation is given in the form of aᵇ = c, then ㏒ₐc = b or in a definitive way a logarithm is the power to which a number must be raised in order to get a number. As here 'a' is raised to the power 'b' to given a number c, so the number base 'a' if be raised to some power of 'b' then it will yield a number 'c'.

For example, 10² = 100 which can be written as ㏒₁₀100 = 2 by the following property of logarithm that is ㏒ₐ(bⁿ) = n.㏒ₐb.

So,  ㏒₁₀100 = ㏒₁₀10² = 2.㏒₁₀10 = 2 [ Another property ㏒ₐa = 1]

Some basic properties on logarithm operations are

1) ㏒ₙa + ㏒ₙb = ㏒ₙ(ab)

2) ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) [NOTE: ㏒ₙa - ㏒ₙb is not commutative]

3) ㏒ₐ(bⁿ) = n.㏒ₐb

4) ㏒ₐa = 1

Now let's solve the sum: ㏒₁₀√3 - 1 / 2 ㏒₁₀2

㏒₁₀√3 - 1 / 2 ㏒₁₀2 = ㏒₁₀(3)\(^{\frac{1}{2}}\) - 1 /2 .㏒₁₀2 [ Root means 1 / 2 power]

= 1 / 2.㏒₁₀(3) - 1 / 2.㏒₁₀(2)   [ ㏒ₐ(bⁿ) = n.㏒ₐb ]

= 1 / 2.(㏒₁₀(3) - ㏒₁₀(2))

= 1 / 2.(㏒₁₀(3 / 2)                  [ ㏒ₙa - ㏒ₙb = ㏒ₙ(a / b) ]

= 1 / 2.㏒₁₀(1.5)

Hence value of ㏒₁₀√3 - 1 / 2 ㏒₁₀2 = 1 / 2.㏒₁₀(1.5)

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The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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Answer:

  D.  x ≈ 2.60

Step-by-step explanation:

The equation we have graphed is the one shown in the attachment. It is slightly different from the one in this problem statement.

It is often convenient to find a graphical solution to an equation by writing it in the form ...

  f(x) = 0

Then the solutions are the x-intercepts of the graph, points that most graphing calculators can readily identify.

We have done this here by defining ...

  \(y_1=3x^2-6x-4\\\\y_2=-\dfrac{2}{x+3}+1\)

The graph is of y₁ -y₂. X-values where y₁-y₂ = 0 are solutions to the original equation, y₁ = y₂.

This equation is seen to have three solutions, approximately ...

  x = {-3.05, -0.55, 2.60}

Of these, only x ≈ 2.60 is listed among the answer choices.

__

Additional comment

The value of y₁ -y₂ expressed in standard form is ...

  \(3x^2-6x-4+\dfrac{2}{x+3}-1=0\\\\\dfrac{(x+3)(3x^2-6x-5)+2}{x+3}=0\\\\\dfrac{3x^3+3x^2-23x-13}{x+3}=0\\\\3x^3+3x^2-23x-13=0\quad(x\ne -3)\)

The irrational solutions to this cubic can be found "exactly" by any of several applicable formulas. Numerical solutions are almost trivial to find with appropriate technology.

  x ≈ {−3.04857564747, −0.547524627423, 2.5961002749}.

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

The terms that can be combined in the given expression are 15.2(x/6) and -x.

To determine which terms can be combined in the given algebraic expression, let's simplify it step by step:

The expression is: 15.2(x/6) - 5.5y(5/6)x + 4z - x.

We can combine like terms by adding or subtracting coefficients that have the same variables raised to the same powers.

Looking at the terms, we can combine the following:

  - The terms 15.2(x/6) and -x have the variable "x" raised to the power of 1, so we can combine them.

  - However, the terms -5.5y(5/6)x and 4z have different variables or different powers of "x", so they cannot be combined.

Therefore, the terms that can be combined are 15.2(x/6) and -x.


The terms that can be combined in the given expression are 15.2(x/6) and -x.

In the given algebraic expression, we have four terms: 15.2(x/6), -5.5y(5/6)x, 4z, and -x. To determine which terms can be combined, we need to look for like terms. Like terms are terms that have the same variables raised to the same powers.

Looking at the terms in the expression, we can see that 15.2(x/6) and -x both have the variable "x" raised to the power of 1. Therefore, these two terms can be combined.

On the other hand, the term -5.5y(5/6)x has the variables "y" and "x", but the power of "x" is different from the other term. Similarly, the term 4z does not have any variables that can be combined with the other terms.

In conclusion, the terms that can be combined in the given algebraic expression are 15.2(x/6) and -x.

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Answer:

B,D,F

Step-by-step explanation:

edge

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

To get the velocity vector, we will differentiate x(t) and y(t) as follows: \(dx/dt = (6/t - 3)^1/3\)------------------------(1) \(dy/dt = te^(-t)\) ------------------------(2)Integrating equation (2), we get

\(y(t) = -te^(-t) - e^(-t) + Cy(3) = -3e^(-3) - e^(-3) + C4 = -4e^(-3) + C\)

The equation of y becomes\(y(t) = -te^(-t) - e^(-t) - 4\)

Differentiating equation (1) and solving for t when

dx/dt = 0

\(dx/dt = (6/t - 3)^1/3[(-1/3)(6/t^2)] = 0= > 6/t - 3 = 0\)

=> t = 2

Substitute t = 2 in the equation (1), we get dx/dt = 0Therefore, the particle is farthest to the right at time t = 2.Now, to find the x-coordinate, substitute t = 2 in equation (3) and get

\(y(2) = -2e^(-2) - e^(-2) - 4\)

\(= -3e^(-2) - 4\)

The particle is at the position \((x, y) = (x(2), y(2)) = (7, -3e^(-2) - 4)\)

The particle is farthest to the right at t = 2 and the x-coordinate is 7, which is the answer.

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Answer:

I think the answer is -7

because : 3(-5) + 4(2)

-15 + 8

= -7

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77

Answer:

-6

Step-by-step explanation:

first you crossover negative 8 to make it positive then you add to -14

Answer:

The exact value of csc A, in simplest radical form using a rational denominator, is 1/√171.

Step-by-step explanation:

Given that sec A = 14, we can use the reciprocal identity of trigonometric functions to find the value of csc A. The reciprocal identity states that:

csc A = 1/sin A

To find sin A, we can use the Pythagorean identity, which states that for any angle A:

sin^2 A + cos^2 A = 1

Given that sec A = 14, we know that:

sec A = 1/cos A = 14

Solving for cos A, we have:

cos A = 1/14

Now, using the Pythagorean identity, we can find sin A:

sin^2 A = 1 - cos^2 A

sin^2 A = 1 - (1/14)^2

sin^2 A = 1 - 1/196

sin^2 A = (196 - 1)/196

sin^2 A = 195/196

Taking the square root of both sides, we get:

sin A = √(195/196) = √195 / √196

Simplifying further, we have:

sin A = √(195)/14

Finally, using the reciprocal identity, we find:

csc A = 1/sin A = 1 / (√(195)/14) = 1/√195 * 14/1 = 14/√195 = (14√195)/195

To express the value of csc A in simplest radical form using a rational denominator, we rationalize the denominator by multiplying both the numerator and denominator by √195:

csc A = (14√195 * √195) / (195 * √195) = (14 * 195) / (195 * √195) = 14/√195

Therefore, the exact value of csc A, in simplest radical form using a rational denominator, is 1/√171.

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The total number of classes that were taken by you was 28.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question.

Registration fee for the dance class = $15

Amount of money charges for each dance class = $24

Amount of money paid for c number of classes = $687

⇒ \(687 = 24c + 15\)

Solve the above linear equation in one variable for c.

\(687 = 24c + 15\)

⇒ \(687 - 15 = 24c\)

⇒ \(672 = 24c\)

⇒ \(c = \frac{672}{24}\)

⇒ \(c = 28\)

Hence, the number of classes is 28.

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Answer:

2/3 of the jar was filled with flour

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.

Given

Amount a jar can hold a = 3/4 of a pound of flour

If Austin empties 1/2 of a pound of flour into the jar, then the amount emptied into the jar b = 1/2 pounds

Fraction of jar filled will be expressed as b/a as shown;

b/a = (1/2)/(3/4)

b/a = 1/2 ÷ 3/4

b/a = 1/2 * 4/3

b/a = 4/6

Simplify to the lowest term

a/b = 2*2/2*3

a/b = 2/3

Hence 2/3 of the jar was filled with flour

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

In a condition where Sophia needs to earn at least $1800 as a part of her living expenses, she will need to sell goods worth at least $16,745 if she earns 10.75% commission on everything she sells.

What is the significance of living expenses?

Living expenses of an individual can be referred to or considered as the amount of expenditure made by a person for living for a predefined period of time. The living expenses also include the spending towards the necessities of an individual.

In the condition given above, the provided information can be used in order to find out about the living expenses as,

Living Expenses = Sales x Commission

1800 = Sales x 10.75%

Sales = 1800 / 10.75%

Sales = $16,744.12

Therefore, the significance regarding the living expenses has been aforementioned.

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Answer:

203

Step-by-step explanation:

estimate 28.5 = 29

estimate 7.1 = 7

there for 29 x 7 = 203

The required estimated value of the given expression is 202.

The estimate is defined as a rough view calculation that helps to predict where the product value lies.

Here,
Given expression,
=  (28.5)(7.1)
Multiplying the number under the parenthesis,
Gives,
= 202.35

Now, rounding the numbers, Since the number after the decimal place is close to zero,
= 202.

Thus, the required estimated value of the given expression is 202.

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Answer:

GIVE ME MY RAMEN

Step-by-step explanation:

3.

add like terms

30 + 7k = 100

100-30 = 70

70 divided by 7k = 10

k = 10

4. add the z's together

2z - 6 -2 = -10

+ 6 + 2

-10 will be -2 now since we dragged the -6 and -2 to the other side

2z = -2

z = -1

5. 3.2x - 1.7x = 1.5x

1.5x + 5.5 = 10

10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5

3.2x = 5.5

x = 1.71875

6.

3/4x - 1/4x = 2/4x

14 - 3 = 11

2/4x = 11

x = 22

Answer:

300 students is the maximum capacity of students the school can hold.

Step-by-step explanation:

A dot plot is a simple yet powerful tool for visualizing and analyzing data.

A dot plot is a type of graph used to display data. It consists of a horizontal or vertical axis, which represents the range of values for a given variable, and a series of dots or points that represent the individual data points.

A dot plot is a graphical representation of a data set, where each data point is shown as a dot above its corresponding value on a number line. Some statements that are true about a dot plot include:

Overall, a dot plot is a simple yet powerful tool for visualizing and analyzing data, and it can be used to convey a lot of information in a clear and concise way.

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Answer:

JK = 16√2

Step-by-step explanation:

This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.

Since this has a side of 16, the hypotenuse will be 16√2.

Cheers.

Answer:

d

Step-by-step explanation:

A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D

to round off to the nearest cm of 6. the value must be between 5.5 and 6.4

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

Answer: ß

Step-by-step explanation:

Answer:

4min

Step-by-step explanation:

half full = 4min. disregard the doubles every min.

Answer:

7 minutes

Step-by-step explanation:

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = \(\frac{11x}{3}\) = \(\frac{11}{3}\)x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ \(\frac{11}{3}\)x - 2x = 50

∴ \(\frac{5}{3}\)x = 50

→ Divide both sides by \(\frac{5}{3}\)

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330