Please help! I've already answered part a, I don't understand what part b is asking.

Answer:

A. D.

Step-by-step explanation:

Visual Examples to help!

Answer: The answer is 131 ft.

Step-by-step explanation:

The gazebo staying in the centre of the circular lawn forms an sector with the two paths that are 75 degrees to each other. The formula for length of an arc of a sector which is the distance between the two paths is \frac{angle}{360} * 2\pi * radius\\radius = \frac{diameter}{2} = \frac{200}{2} = 100 ft\\ angle = 75 degrees.\\

Inserting these we have \frac{75}{360} * 2\pi * 100 = 130.8996 = 131 ft.

~Adrianna

Answer:

18<1/2x=6

Step-by-step explanation:

The equation for the given description is 18 - 0.5x = 6

Since 18 less than half a number is 6

So here we assume the number be x

Now the equation is

18 - 0.5x = 6

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Answer:

The answer is 15 units is the answer boom

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

\( \sqrt{ {2}^{2} + {4}^{2} } = \sqrt{4 + 16} = \sqrt{20} = 2 \sqrt{5} \)

Answer:

\(\sqrt20\)

Step-by-step explanation:

Use the Formula \(a^{2} + b^{2} = c^{2}\)

\(2^{2} + 4^{2} = \sqrt{20}\)

Answer for the k12 Quiz

Hope that helps!

Given:

The function is:

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

To find:

The inverse of the function.

Solution:

We have,

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

Step 1: Substitute \(f(x)=y\).

\(y=x^2-16\)

Step 2: Interchange x and y.

\(x=y^2-16\)

Step 3: Isolate y.

\(x+16=y^2\)

\(\pm \sqrt{x+16}=y\)

\(y=\pm \sqrt{x+16}\)

Step 4: Substitute \(y=f^{-1}(x)\).

\(f^{-1}(x)=\pm \sqrt{x+16}\)

Therefore, the inverse function of the given function is \(f^{-1}(x)=\pm \sqrt{x+16}\).

Answer:

the like terms are -13, 17,-8g, and 6g. the terms are all, coefficents are -8 ang 6. constants are 7h

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

7.69

If less than 5 bring it down/ if more than 5 level up

7.69 if this underlined it shows the tens

the answer is 8

The decimal number 7.69 can be rounded to the nearest whole number as 8.

Given is a decimal number 7.69.

It is required to write this number which has to be rounded to the nearest whole number.

The whole part of the decimal number 7.69 is 7.

Now the number which is next to the whole part is 6 after the decimal point.

So, a unit has to be added to or remains as 7, according to the number after the decimal point.

The number is 6, which is greater than 5.

So a unit has to be added to 7 and it becomes 8.

Hence the number rounded to the nearest whole number is 8.

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Answer:

2.58

Step-by-step explanation:

In a skewed distribution, the median can be precisely located on the graph without doing any calculations.

So, the correct answer is E.

The median represents the middle value in the data set, separating the distribution into two equal parts. Unlike the mean, it is not affected by extreme values, making it a more accurate representation of central tendency for skewed distributions. The mode, which indicates the most frequent value, can also be identified on the graph.

However, variance and standard deviation, both measures of dispersion, require calculations to be determined and cannot be precisely located on the graph without additional information.

Hence, the answer of the question is E.

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Answer:

16n + 24

Step-by-step explanation:

Area of a rectangle= Length × width

= (2n+3) × 8

= 16n + 24

By solving a system of equations, we can see that there are 17 children and 8 parents in the room.

Let's define the variables:

x = number of children.

y = number of parents.

We know that there are 9 more children than parents, then:

x = y + 9

And there is a total of 25 people, so:

x + y = 25

So we have a system of equations:

x = y + 9

x + y = 25

Replacing the first equation into the second one, we get:

(y +9) + y = 25

2y + 9 = 25

2y = 25 - 9 = 16

y = 16/2 = 8

then the value of x is:

x = y + 9 = 8 + 9 = 17

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(a) Since x > 0, we can choose ε = x/2. By the definition of the limit, there exists N₁ such that |xₙ - x| < x/2 for all n ≥ N₁. Therefore, xₙ > 0 for all n ≥ N₁.

(b) No, part (a) is not true if we only assume x ≥ 0. Consider the constant sequence X = (0, 0, 0, ...). It converges to x = 0, but xₙ can be zero for infinitely many terms of the sequence.

(c) For any given x > 0, we can find an N₂ such that 2xₙ < 2x for all n ≥ N₂.

(a) Since X = (xₙ) is a convergent sequence with lim(xₙ) = x, we know that for any ε > 0, there exists N such that |xₙ - x| < ε for all n ≥ N.

Since x > 0, let's choose ε = x/2. By the definition of the limit, there exists N₁ such that |xₙ - x| < x/2 for all n ≥ N₁.

Now, consider any index n ≥ N₁. We have:

|xₙ - x| < x/2

=> -x/2 < xₙ - x < x/2

=> -x/2 + x < xₙ < x/2 + x

=> x/2 < xₙ < 3x/2

Since x > 0, we can conclude that xₙ > 0 for all n ≥ N₁.

Therefore, we have shown that there exists N₁ such that xₙ > 0 for all n ≥ N₁.

(b) No, part (a) is not true if we only assume x ≥ 0. Here's a counter example:

Consider the constant sequence X = (0, 0, 0, ...). This sequence converges to x = 0, but for any N, there exists an index n ≥ N such that xₙ = 0, which means xₙ ≤ 0.

So, if we only assume x ≥ 0, it is possible to have xₙ ≤ 0 for infinitely many terms of the sequence.

(c) Since x > 0, we can multiply both sides of the inequality by 2 to get:

2xₙ < 4x/2

=> 2xₙ < 2x

Thus, for any given x > 0, we can find an N₂ such that 2xₙ < 2x for all n ≥ N₂.

Therefore, we have shown that there exists N₂ such that 2xₙ < 2x for all n ≥ N₂.

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Answer:

I hope this helps you with your algebra

The cost of the camera after Natalie uses the coupon is $38.25

Given data in the question;

Natalie uses a 15% off coupon when she buys a camera.

To determine the final price;

Since the coupon is 15% off, that means there is a reduction of 15% off the original price;

Hence

New price = ( 100% - 15% ) × Original price

New price = ( 100% - 15% ) × $45.00

New price = ( 85% ) × $45.00

New price = 0.85 × $45.00

New price = $38.25

Therefore, the new price of camera is $38.25.

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Answer:

3

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

The angle C = 103.85° using the sine rule and rounded to the nearest hundredth.

In trigonometry, the sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

Considering the ∆ABC, the sine rule states that;

(a/sinA) = (b/sinB) = (c/sinC)

so

25/sin120° = 20/sinB

sinB = (20 × sin120°)/25 {cross multiplication}

sinB = 0.6928

B = sin^(-1)[0.6928)] {sine inverse}

B = 43. 85°

Sum of interior angles in ∆ABC is 180° so;

C = 180° - (120° + 43.85°)

C = 180° - 76.15°

C = 103.85°

With the application of the sine rule, we can conclude that the value of the angle C is 103.85° rounded to the nearest hundredth.

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The value of the sales tax will be 1.21. Sales tax is a fee that is charged in addition to the cost of products and services. We have to use basic percentage mathematics concepts.

Let's first try to understand what is sales tax.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government. A company is liable for sales taxes in a particular jurisdiction if it has a nexus there, which, depending on the local rules, can be a physical location, an employee, an affiliate, or some other presence.

Sales taxes typically take a portion of the cost of the items sold. For instance, a city's residents might pay a total of 7.5% in sales taxes if the state levies a 4% rate, the county 2%, and the city 1.5%. However, frequently certain things—like food—are exempt or are exempt if they fall below a specific amount, such as apparel purchases under $200. Additionally, many products are subject to additional taxes known as excise taxes. A type of excise tax known as a "sin tax" is the $1.50 municipal excise tax that New York City imposes per pack of 20 cigarettes in addition to the $4.35 state excise tax.

In this Question, The bill before tax and tip was $17.35.

Sales tax of 7% added.

7% of  $17.35 = 7 * 17.35/100 = 1.2145

The nearest cent value will be 1.21.

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The sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

The total cost of the meal before tax and tip was $17.35. The sales tax rate for the area was 7%. To calculate the sales tax, we must first determine the pre-tax cost of the meal multiplied by the tax rate.

Formula:

Sales Tax = Pre-tax cost × Tax Rate

Calculation:

Sales Tax = $17.35 × 0.07

Sales Tax = $1.22

This means that the sales tax amount was $1.22. Vani tipped 18% on the amount after the sales tax was added. To calculate the total amount of the bill after tip, we must first add the sales tax to the pre-tax cost of the meal.

Formula:

Total Cost = Pre-tax cost + Sales Tax

Calculation:

Total Cost = $17.35 + $1.22

Total Cost = $18.57

We can then calculate the tip amount by multiplying the total cost of the meal by the tip rate.

Formula:

Tip = Total Cost × Tip Rate

Calculation:

Tip = $18.57 × 0.18

Tip = $3.35

Therefore, the sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

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Answer:

i got 10 in the end 10000 is a power of 10 so the lowest answer is 10

Step-by-step explanation:

B is therefore represented by the expression: b = 2a + 2c.

An algebraic equation known as a trinomial has three non-zero elements and more than one variable. Examples include: x² + 5y - 25, a³ - 16b + 10, etc. Due to their three elements, these are trinomials.

Let's assume that the factorization of the trinomial ax² + bx + c is of the form (mx + p)(nx + q), where m, n, p, and q are integers.

Expanding this expression using FOIL, we get:

mnx² + (mq + np)x + pq

We know that this expression is equal to ax² + bx + c, so we can equate the corresponding coefficients:

mn = a

mq + np = b

pq = c

Since a and c are positive prime numbers, they have exactly two factors each (1 and themselves). Therefore, m and n must each be equal to either a or 1, and p and q must each be equal to either c or 1.

If m and n are both equal to a, then their product mn is equal to a², which is not prime (since a is prime and greater than 1). Therefore, one of m and n must be equal to 1, and the other must be equal to a. Similarly, one of p and q must be equal to 1, and the other must be equal to c.

Without loss of generality, assume that m = 1 and n = a, and that p = c and q = 1. Then we have:

mn = a

mq + np = a + c

pq = c

Substituting these values into the expression mn + mq + np + pq, we get:

a + a + c + c = 2a + 2c

Therefore, the expression that represents the value of b is:

b = 2a + 2c

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Answer:

-3/4x8+2

Step-by-step explanation:

-6+2=-4

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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The graph of the inequality y ≥ (1/2)x - 1 and x - y > 1 is attached. Shannon's graph is correct.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Inequalities are used for the non equal comparison of numbers and variables.

Given the inequalities:

y ≥ (1/2)x - 1     (1)

and

x - y > 1     (2)

The graph of the inequality is attached. Shannon's graph is correct.

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Answer:

I don't know the answer to this question

Answer:

Step-by-step explanation:

hi Is that you on your pic

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.

Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:

tan²(θ) + 1 = sec²(θ)   ==>   sec(θ) = √(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√5

Now, recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = √[(1 - cos(θ))/2]

==>   sin(θ/2) = √[(1 - 1/√5)/2]

==>   sin(θ/2) = √[(√5 - 1)/(2√5)]

==>   sin(θ/2) = √[(5 - √5)/10]

Answer:

x=4

Step-by-step explanation:

-5x+5-x+1=-18

combine like terms

-6x+6=-18

subtract 6 from both sides

-6x=-24

divide both sides by -6

x=4

Answer:

x=-4

Step-by-step explanation:

-5 ( x - 1 ) - x + 1 = -18

-5x+5-x+1=-18

6x+6=-18 <- -6 from both sides

6x=-24 <- divide 6 by both sides

x=-4

Answer:

gof(x)=3\(x^{2}\)-9x-10

Step-by-step explanation:

gof(x)=3(\(x^{2}\)-3x-4)+2

gof(x)=3\(x^{2}\)-9x-12+2

gof(x)=3\(x^{2}\)-9x-10