A store sells ice cream with assorted toppings. They charge $3.00 for an ice cream, plus 50 cents per ounce of toppings.

a. How much does an ice cream cost with 4 ounces of toppings?


b. How much does an ice cream cost with 11 ounces of toppings?

Answer:

I guess lol.....

The statement that is a tautology is OPV (- PV Q).

A tautology is a logical statement that is true for every possible input value, and it is often used in mathematics and logic.

Let's look at each of the given statements and see which one is a tautology:

O - PV (- PV Q):

This statement is not a tautology because it is only true when P and Q are both false.

O - Pv (PV Q):

This statement is not a tautology because it is only true when P and Q are both true.

O PV (-PV Q):

This statement is a tautology because it is true for all possible input values of P and Q.

OPV (PV - Q):

This statement is not a tautology because it is only true when P is true and Q is false.

Therefore, the statement that is a tautology is O PV (-PV Q).

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Answer:

3(6)-1

----------------

2(6)+1

Step-by-step explanation:

r(x) = 3x-1

s(x) = 2x+1

r(6) / s(6)

r(6) = 3(6)-1

s(6) = 2(6)+1

Putting r(6)/ s(6)

3(6)-1

----------------

2(6)+1

Answer:

2471.81

Step-by-step explanation:

Let I be the interest, r the annual rate and P the principal. Then:

I = P(r)^2 = 5460

I = P(r)^4 = 12060.6

so r^2 = P(r)^4 /  P(r)^2 = 12060.6/5460

r^2 = 2.2089

r = 1.486

So  P(r)^2 = P* 2.2089 = 5460

P = 5460 / 2.2089 = 2471.81.

Answer:

Step-by-step explanation:

In certain situations dealing with SSA triangles, law of sines prove that either

It will take 1.5 minutes to boil half liter of water .

Given,

Electric kettle take 3 minutes to boil a liter of water.

Now,

1 liter of water boils in 3 minutes .

so,

1 liter ⇒ boils in 3 minutes

1/2 liter ⇒ boils in 3/2 minutes

Thus,

1/2 liter boils in 1.5 minutes in an electric kettle .

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Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

Answer:

the width of the path is 24m²

Answer:

Step-by-step explanation:

Volume of the right triangular prism:

Note: V=l*w*h

L=3cm

W=4cm

H=7cm

Then, multiply.

3*4*7=84

84cm³

Therefore, the correct answer is 84cm³.

I hope this helps you! Let me know if my answer is wrong or not.

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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A schematic diagram that uses symbols to represent the parts of a system is called a schematic or a circuit diagram.

A schematic diagram is a type of diagram that represents a system or process using symbols, lines, and other graphical elements. The purpose of a schematic diagram is to convey information about a system or process in a clear and concise manner, making it easier to understand and analyze.

Schematic diagrams are commonly used in fields such as electrical engineering, mechanical engineering, and process engineering. They may be used to depict a wide range of systems or processes, including electronic circuits, hydraulic systems, HVAC systems, and manufacturing processes, among others.

In a schematic diagram, symbols are used to represent various components or elements of the system or process being depicted. For example, in an electrical circuit schematic, symbols might be used to represent resistors, capacitors, diodes, and other electronic components. Lines and other graphical elements are used to show the connections and interactions between the different components.

Schematic diagrams are an important tool in the design, analysis, and troubleshooting of systems and processes. They allow engineers and other professionals to quickly and easily understand the workings of complex systems, identify potential problems, and develop solutions.

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Answer: You get 3.21¢ off of the 20 rucksacks. 21.40¢ - 3.21¢ = 18.

So,

Let "x" and "y" be the numbers that we're asking for.

As we know, one number is one more than the other, so we could write:

And,

Now, the equation that we could state is:

Answer:

in -7y y is variable and -7 is Constant

Step-by-step explanation:

Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.

Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

The renowned French jeweler Cartier sells engagement rings that cost more than $100,000. This is an illustration of premium pricing.

A premium pricing strategy is one in which a corporation sets high prices for its products or services in order to target high-end or luxury markets. The company's high costs are intended to give an appearance of exclusivity, quality, and status, as well as to appeal to clients ready to pay a premium for the brand and the related lifestyle.

Cartier, for example, targets wealthy customers searching for high-quality, luxury jewelry to commemorate major events in their lives by producing engagement rings that cost more than $100,000. The premium pricing strategy assists Cartier in positioning itself as a high-end luxury brand and distinguishing itself from competitors.

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We have shown that h = 40 / √(\(tan^{2}\)70°+ \(tan^{2}\) 55° + 1.1472 tan 70° tan 55°).

What is trigonometry?

The relatiοnship between the sides and angles οf triangles is the subject οf the branch οf mathematics knοwn as trigοnοmetry.

A. Here is the diagram that represents the situatiοn:

           T (top of tower)

            /\

           /  \

          /    \

         /      \

        /        \

       P         Q

P is due sοuth οf the tοwer.

Q is 40 meters east οf the tοwer.

The angle οf elevatiοn frοm P tο the tοp οf the tοwer is 20 degrees.

The angle οf elevatiοn frοm Q tο the tοp οf the tοwer is 35 degrees.

B. Let's use trigοnοmetry tο sοlve fοr h.

Frοm triangle PTQ, we knοw that:

PT = h / tan 20° (using οppοsite οver adjacent)

TQ = h / tan 35° (using οppοsite οver adjacent)

PQ = 40 meters (given)

Frοm triangle PTQ, we can alsο use the Law οf Cοsines:

\(PQ^{2}\)= \(PT^{2}\) + \(TQ^{2}\) - 2 PT TQ cos 125° (using \(a^{2}\) = \(b^{2}\) + \(c^{2}\) - 2bc cos A)

Substituting the values we know:

\((40)^{2}\) =\((h/tan 20)^{2}\) + \(h/tan^{2}\)20° - 2 (h/tan 20°(h/tan 35°) cos 125°

Simplifying the equation, we get:

\((40)^{2}\) = \(h^{2}\) (\(1/tan^{2}\) 20° + 1/tan² 35° - 2/tan 20° tan 35° cos 125°)

\((40)^{2}\) = \(h^{2}\) (\(tan^{2}\) 70° + tan² 55° - 2 tan 70° tan 55° (-0.5736))

\((40)^{2}\) = \(h^{2}\) (\(tan^{2}\) 70° + tan² 55° + 1.1472 tan 70° tan 55°)

\(h^{2}\) = \((40)^{2}\) / (\(tan^{2}\) 70° + tan² 55° + 1.1472 tan 70° tan 55°)

h = sqrt[\((40)^{2}\) / (\(tan^{2}\) 70° + tan² 55° + 1.1472 tan 70° tan 55°)]

h = 40 / sqrt(\(tan^{2}\) 70° + \(tan^{2}\) 55° + 1.1472 tan 70° tan 55°)

Therefore, we have shown that h = 40 / √(\(tan^{2}\) 70°+ \(tan^{2}\) 55° + 1.1472 tan 70° tan 55°).

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Similar Graph

Answer:

black

black

Step-by-step explanation:

Answer: $15.10

Step-by-step explanation:

1. add 8.7 to 6.2 and you would get 14.9

2. then take 30 and take away 14.9 this leaves you with 15.10 and that is how you get your answer

i hope this helped

Answer:

The answer is 15.10

Step-by-step explanation:

add the two number

The given two ordered pairs are not one to one function.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given two ordered pairs are (1, 4) and (2, 4).

In order for a function to have an inverse, it must be one-to-one. We can determine whether a function satisfies this property visually by applying the Horizontal Line Test. If any horizontal line placed over the function would have more than one point of intersection, then the function is not one-to-one.

If a function is one-to-one, then each value of y is pointed to by one and only one value of x. This means if we have the points (x₁, y) and (x₂, y), then x₁=x₂. If x₁≠x₂, then the function is not one-to-one.

Here, we have we have two values of x that cause y=4.

Therefore, the given two ordered pairs are not one to one function.

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Answer:

im pretty sure it is 2 and 8

Step-by-step explanation:

Answer:

the ride would be $1.72 for the cab

Answe t = bh b = t h the number of bikes produced each hour is the constant of proportionality. total bikes = bikes per hour( number of hours) → t = bh total bikes number of hours = bikes per hour → b = t h y = kx, where k is the constant of proportionality → t = bh; thus, b is the constant of proportionality.

Step-by-step explanation:

If the radius of the sphere is 3.5 inches , then the volume is 130.85 inches³  and the surface area is 153.86 inches²  .

In the question,

it is given that , the shape of the exercise ball is a sphere ,

the radius of the sphere is = 3.5 inches ,

the volume of sphere is gives as

Volume = (4/3)πr³

= (4/3)π(3.5)³              ....using π = 3.14

= 130.85 inches³

and Surface Area of the Sphere is = 4πr²

= 4π(3.5)²               ....using π = 3.14

= 153.86 inches²

Therefore , If the radius of the sphere is 3.5 inches , then the volume is 130.85 inches³  and the surface area is 153.86 inches²  .

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Answer:

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

---------------

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

Answer:

Step-by-step explanation:

9/100 i believe as you would multiply 3/10 by 3/10 due to the fact the marble is being replaced so the probability of getting a red marble the second time will be more unlikely. If I'm right please thank me or give me brainly. Hope this helps :)

The probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of drawing a red marble on the first draw is 3/10, since there are 3 red marbles out of a total of 10 marbles.

Since the first marble is replaced before the second draw, the probability of drawing a red marble on the second draw is also 3/10.

To find the probability of drawing two red marbles in a row, we multiply the probabilities of the individual events, since they are independent:

P(drawing two red marbles) = P(red on first draw) × P(red on second draw)

P(drawing two red marbles) = (3/10) × (3/10)

= 9/100

Therefore, the probability of drawing two red marbles, if the first marble is replaced after it is drawn, is 9/100.

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