Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?

The equation be 2x² - 3x - 5 then the value of x = -1.

Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

Part A: Let f(x) = 0 and solve for x to get the x-intercepts.

Given the function 2x²-3x - 5 = 0

Factor to get (2x - 5) (x + 1) = 0

then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1

These are the x-intercepts.

Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)

where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

In this case a = 2, b = -3 and c = -5.

So -b/2a = 3 / 4

f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.

The coordinates of the vertex exist (3/4, -6.125)

Part C: I will give them a minimum from completing the square

y = \($$2(x - 0.75)^2\) - 6.125

as x approaches + ∞, y approaches + ∞.

as x approaches - ∞, y approaches + ∞.

It's a quadratic.

The y values go to + ∞ when x goes from - ∞ to + ∞.

Part D: The graph is as follows:

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Note that in the prompt above, the value of x is given as: 16°

To answer the issue, we will first name all of the points supplied to us on the isosceles triangle, then identify O, and last discover the value of x. See the attached image.

As a result, an isosceles triangle has two equal sides and two equal angles. The term is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

In ΔAOB

OA =  OB = R, the radius of the circle O,

therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.

Thus, ∠OAB = ∠OBA = 53°

Sum of all the angles of a triangle = 180°

∠O + ∠AOB + ∠OBA = 180°

We know ∠AOB = ∠OBA, therefore,

∠O + 2(∠AOB) = 180°

∠O + 2(53°) = 180°
∠O = 180 - 106

∠O = 74°

In ΔOBC,

BC is the tangent to the circle O, therefore,

∠OBC = 90°

Sum of all the angles of a triangle = 180°

∠O + ∠OBC + ∠OCB = 180°

74° + 90° + ∠OCB = 180°

∠OCB = 180° - 74° - 90°

∠OCB = 16°

Hence, the value of x is 16°.

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The function is determined using speed and is found to be d = 120t.

Speed is generally the change in distance per unit time. (rate of change of distance)

To calculate speed, we will use speed = distance/time.

speed = 360/3

           = 120km/hr

Since, the train is moving with a constant speed the ratio of distance and time will be equal to 120 throughout the journey.

120 = d/t

Hence, d = 120t.

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Answer:

2:5

Step-by-step explanation:

Since 40% is basically 40:100, You can scale it down by a factor of 20, giving you 2:5.

Answer:

2/5

Step-by-step explanation:

Percent means out of 100

40/100

Divide top and bottom by 20

40/20 =2

100/20 = 5

The reduced fraction is 2/5

Rounding this to the nearest foot, we get that the length of the guy wire is approximately 19 feet.

Units of length may have historically been determined by the lengths of human body parts, the distance traversed in a specified number of paces, the distance between well-known sites or locations on Earth, or randomly by the length of a well-known object.

The Pythagorean theorem can be used to resolve this issue. The guy wire is the hypotenuse of a right triangle made up of the guy wire, the pole, and the ground. The formula is as follows:

Guy wire length = stake to pole length + pole length to tower length

By entering the specified values, we obtain:

Guy wire length two equals two plus nineteen, or 365.

Guy wire length = 365 + 19.10 + guy wire length

If we round this number to the next foot, the guy wire's length is roughly 19 feet.

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Answer:

coprs said the United of a group that had to take the first time and was not the first person in a while and

Step-by-step explanation:

The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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Answer:

3(8+17)

Step-by-step explanation:

Since the gas prices are the same, we need to find a number that divides into both 24 and 51.

The factors of 24 are 1,2,3,4,6,8,12,24.

The factors of 51 are 1,3,17,51.

So, their common factor is 3. Price of gallon of gas = $3

Now we know the price, we can divide each total by 3 to find out how many each person bought.

One person bought $24 of gas: 24/3 = 8: They bought 8 gallons of gas

Another person bought $51 of gas: 51/3=17: They bought 17 gallons of gas

Represented as an expression, this is:

3(8+17)

Answer:

the correct answer to this is 3(8+17)

Step-by-step explanation:

Q1.

1. 3×1+2=5

=5/3

2. 3×5+3=18

=18/5

3. 8×4+3=35

=35/4

4. 12×3+2=38

=38/3

5. 10×7+2=72

=72/7

Q2.

1. 1/7 = 7/1 = 7

2. 8/3 = 3/8

3. 9 = 1/9

4. 4 1/3 = 4×3+1 = 13 = 13/3 = 3/13

5.14 2/3 = 14×3+2 = 44 = 44/3 = 3/44

Hope this helps you

Answer:

For A)

when you go from mixed number to improper fraction all you have to do is multiply the denominator (bottom number) with the whole number (the big number on the left) then finally add the numerator (on the top). After you get the answer just write the answer divided the denominator (answer/denominator) to write as improper fraction. Examples is shown below.

For B) all you have to do is switch the fraction. If it a whole number then just assume that it is divided by 1, and for mixed fraction just solve it like A then switch the fraction. Examples shown below.

Step-by-step explanation:

For A)

1. 1 (2/3) -> multiply 3 with 1 then add the 2. So, (3 x 1) +2 = 5 then write as improper fraction which is 5/3

2. 3 (3/5) -> (5 x 3) + 3 = 18 -> 18/3

and so on...

For B)

1. 3/7 -> 7/3

3. 9 which is 9/1 -> 1/9

5. 14 (1/3) -> (3 x 14) + 1 = 43 -> 43/3 -> 3/34

Answer:

x = 21

Step-by-step explanation:

As stated in the hint: When angles form a linear pair, their sum is 180° in other words, these are supplementary angles:

3x + 18 + 4x + 15 = 180 add like terms

7x + 33 = 180 subtract 33 from both sides

7x = 147 divide both sides by 7

x = 21

Answer:

\(P = 48 in\),\(A= 120in^2\)

Step-by-step explanation:

Again we can use Pythagorean theorem to find the missing side

x^2 + 15^2 = 17^2

x^2 + 225 = 289

Subtract 225 from both sides

x^2 = 64

Find the square root of both sides

√x^2 = √64

x = 8

So

l = 15in, w = 8in

P=2(15) + 2(8)

P = 30 + 18

P = 48 in

A= 15(8)

A= 120in^2

Answer:

B

Step-by-step explanation:

\([(8+15) \times 3] \div 3\\= \frac{(8+15) \times 3}{3}\\= \frac{8 + 15}{1}\\= 8 + 15 = 23\)

Answer:Multiply the denominator on the bottom of the fraction by the whole number you are dividing by.

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number.

The denominator on the bottom of the fraction is 7.

We will multiply 7 by 2.

7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .

Step-by-step explanation:

Answer:

To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number

Step-by-step explanation:

hope this helps have a good rest of your day

The estimated area of the field enclosed by the fence is approximately 220.5 square meters.

A basic geometry theorem that explains the relationship between a right triangle's three sides is known as the Pythagorean theorem.

We can employ the following strategy to determine how much of the field the fence is enclosing:

Include the lengths of the fence sections in a rough sketch of the field.

Make a straightforward polygon that resembles the field's shape using the fence sections.

To calculate the area of the triangle-shaped portion of the field, use the triangle's area formula (\(A = 1/2 \times base \times height\)). We must identify the triangle's base and height in order to accomplish this.

The Pythagorean theorem can be used to calculate the triangle's height: \(a^2 + b^2 = c^2\)where a and b are the triangle's two shorter sides (9 meters and 12 meters, respectively), and c is the longest side (15 meters). When we solve for (a), we see that it is equal to

(a)

\(= \sqrt{(c^2 - b^2)} \\= \sqrt{(15 2 - 12 2}) \\= \sqrt{(81)} \\= 9 meters.\\\)

The triangle is therefore 9 meters tall. The 9-meter fence portion serves as the triangle's base.

When we apply the triangle's area formula, we obtain:

A is equal to half of the base plus the height, or 9 meters plus 9 meters, or 40.5 square meters.

The area of the remaining field must be increased by the area of the triangle. This estimate may not be very exact because we have just estimated the field's form, but it should at least give us a general notion of the field's size.

If the remaining area of the field has a roughly rectangular form, we can calculate its area by multiplying the rectangle's length and width. The 12-meter and 15-meter fence sections can be used as a guide to determine the rectangle's size.

By dividing the width by the length, we obtain:

180 square meters is the size of the remaining part (12 meters times 15 meters).

To determine the approximate total size of the field, add the areas of the rectangle and triangle portions:

Total area estimated: 40.5 square meters plus 180 square meters, which equals 220.5 square meters.

As a result, the field's approximate area inside the barrier is 220.5 square meters.

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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The correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

A graph is a diagram showing the relation between variable quantities each measured along one of a pair of axes at right angles.

In this case, the correct graph of the following condition. {(x, y) : x - y6} is depicted in the graph attached.

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Answer:

C

Step-by-step explanation:

The red dotted line we see is the asymptote, which is a line that the functions will never cross.

The asymptotes we see currently is:

x = -3

and

x = 2

We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:

(x-2) (x+3)

If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.

Answer:

C

Step-by-step explanation:

there are 2 vertical asymptotes at x = - 3 and x = 2

then the factors on the denominator will be (x + 3) and (x - 2)

then

f(x) = \(\frac{1}{(x-2)(x+3)}\)

Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

2

Step-by-step explanation:

3*4^2*10+10/2 - 6*4

   4*4=16    5      24

3*16*10  +   5  -  24 = 19

480 - 19

14. The trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. In the trigonometric equation 2(cos²θ - sin²θ) = 1, θ = 15°

A trigonometric equation is an equation that contains a trigonometric ration.

14. To find the value of (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°, we proceed as follows

Since we have the trigonometric equation (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45°,

We know that sin47° = sin(90 - 43°) = cos43°. So, substituting this into the equation, we have that

(sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = (cos43°/cos43°)² + (cos43°/cos43°)² - 4cos²45°

= 1² + 1² - 4cos²45°

We know that cos45° = 1/√2. So, we have

1² + 1² - 4cos²45° = 1² + 1² - 4(1/√2)²

= 1 + 1 + 4/2

= 2 + 2

= 4

So, (sin47°/cos43°)² + (cos43°/sin47°)² - 4cos²45° = 4

15. If 2(cos²θ - sin²θ) = 1 and θ is a positive acute angle, we need to find the value of θ. We proceed as follows

Since we have the trigonometric equation 2(cos²θ - sin²θ) = 1

We know that cos2θ = cos²θ - sin²θ. so, substituting this into the equation, we have that

2(cos²θ - sin²θ) = 1

2(cos2θ) = 1

cos2θ = 1/2

Taking inverse cosine, we have that

2θ = cos⁻¹(1/2)

2θ = 30°

θ = 30°/2

θ = 15°

So, θ = 15°

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Answer:

5

Step-by-step explanation:

4 people you didnt kill and that were already there and you

can i have brainliest if i got it right pls

Answer:

31

Step-by-step explanation:

there were 34 people and you killed 30. the other people would have gotten scared and ran away leaving you with 30 other bodies in the room

Answer:

C. Through a given point not on a given line, there is exactly one line parallel to the given line.

Step-by-step explanation:

hope i helped

Answer:

Look down

Step-by-step explanation:

Thanks for reaching out for assistance! Based on the context you provided, it seems like the correct answer is C. Playfair's axiom states that there is exactly one line parallel to a given line that can be drawn through a point not on it. I hope this helps! Let me know if there's anything else I can do for you.

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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Answer:

Step-by-step explanation: