An open box can hold 80 cm3. It is made from a square piece of tinplate with 3 cm squares cut from each of its 4 corners. Find the dimensions of the original piece of tinplate.

The angular speed of the truck's wheels is 3500 radians per minute, calculated by dividing the linear speed in meters per minute by the wheel's radius in meters.

To calculate the angular speed of the truck's wheels in radians per minute, we first need to understand the relationship between linear speed and angular speed. Angular speed (
adians) is given by the formula
adians = linear speed (v) divided by the radius of the wheel (r).

First, we convert the truck's speed from kilometers per hour to meters per minute:
105 km/hr = (105 * 1000 meters) / (60 minutes) = 1750 meters/minute.

Since the diameter of the wheel is 1 meter, the radius (r) is half of that, which is 0.5 meters.

Now we can calculate the angular speed:
adians = v / r = 1750 m/min / 0.5 m which gives us 3500 rad/min.

Therefore, the angular speed of the wheels is 3500 radians per minute.

Answer:

The customer saved $6,167.20

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

To begin solving this problem we need to change the percent into decimal form. We can do this by moving the decimal point 2 digits to the left like so...

80.0%   ⇔   0.80

Now that we have the percent in decimal form we can find how much the customer paid by multiplying the percent by the retail price.

[tex]30,836 * 0.80 = 24,668.80[/tex]

Now that we have the amount the customer paid, we can subtract that value by the retail price of the model to calculate how much the customer saved.

[tex]30,836-24668.80 = 6,167.20[/tex]

Finally, we can see that the customer saved $6,167.20

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The formation of rust on an iron fence is a synthesis reaction, where iron combines with oxygen in the air to create iron oxide. During this process, iron is oxidized and oxygen is reduced, making it an oxidation-reduction (or redox) reaction.

The formation of rust is an oxidation-reduction reaction and a synthesis reaction. Rusting occurs when iron reacts with oxygen in the air, typically in the presence of water, to form iron oxide.

The process can be summarized as iron (Fe) being oxidized to iron(II) ions (Fe2+) which react further with oxygen and water to produce a hydrated iron(III) oxide, commonly known as rust (Fe2O3·xH2O).

This process is classified as a synthesis reaction because it involves the combination of simpler substances - iron and oxygen - to form a more complex compound, namely iron oxide.

In comparison to other types of reactions, decomposition refers to a single compound breaking down into two or more simpler compounds or elements.

Combustion reactions involve fuel (often a hydrocarbon) reacting with oxygen to produce carbon dioxide and water.

Lastly, single-replacement reactions occur when an element replaces another element in a compound. Since the reaction of iron with oxygen adds oxygen to create a new product, rather than decomposing, combusting, or substituting, it is indeed a synthesis reaction.

Answer:

it's true

Step-by-step explanation:

The equation d = 2r can be rewritten in function notation by replacing 'd' with 'f(r)', giving the function f(r) = 2r.

To rewrite the equation d = 2r using function notation, we first need to understand that function notation is a way to represent a function that is derived from a certain equation. Here, the equation given is d = 2r, where d is in terms of r.

To translate this into function notation, we would change d to f(r). The letter f stands for 'function', and the (r) is the variable that the function is dependent upon. Therefore, the equation d = 2r would be rewritten in function notation as f(r) = 2r.

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Answer: f(x) = sin(x)+4

Step-by-step explanation:

33

[tex]\frac{x-7}{x} = \frac{2x-10}{2x+12}[/tex] → x = [tex]\frac{21}{2}[/tex]

AC = x + x + 12 = [tex]\frac{21}{2} + \frac{21}{2}[/tex] +12 = 33

Two events are independent if the occurrence of one event does not affect the probability of the other event.

Two events are independent if the occurrence of one event does not affect the probability of the other event. This means that the outcomes of the two events are not related and the probability of one event happening does not change based on whether the other event occurred or not.

For example, if you flip a coin and roll a die, the outcome of the coin flip does not affect the probability of getting a certain number on the die roll. The two events are independent.

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Answer:

[tex]d-14=34[/tex] shows that when we add sold drawing we get the total drawings.

Step-by-step explanation:

We have been given that Rosa brought d drawings to an art show.

After selling 14 of them, she had 34 left.

We have to form  a equation such that when we add 14 in 34 we get the total of drawings.

[tex]d-14=34[/tex]    (1)

Equation (1) shows that when we add sold drawing we get the total drawings.

Answer:

d - 14 = 34; d = 48

Step-by-step explanation:

Yes, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

In mathematics, a continuous function is a function such that a continuous variation of the argument causes a continuous variation of the value of the function. This indicates that there aren't any discontinuities or sudden changes in value.

Unchanged sign is a property of continuous functions that are never zero on an interval, hence this is true. This is due to the perennially significant Intermediate value theorem.

Therefore, It is true that a continuous function that is never zero on an interval never changes its sign on that​ interval.

To know more about continuous function follow

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The parabola y=6x^2-4x-3 has 2 x-intercepts. This is determined by solving the equation for when y equals zero, using the quadratic formula. Because the discriminant is positive, there are two distinct real solutions, indicating the two x-intercepts.

To find the number of x-intercepts of the parabola with equation y=6x^2-4x-3, you need to set y to 0 and solve the equation for x. The solutions for x will be the x-coordinates of the intercepts.

The x-intercept(s) occur where y=0. The quadratic formula, x = [-b ± sqrt(b^2 - 4ac)]/2a is used to find these points.

Substituting the coefficients a=6, b=-4, and c=-3 into the formula, we get:

x = [4 ± sqrt((-4)^2 - 4*6*(-3))]/(2*6)

This simplifies to x = [4 ± sqrt(16+72)]/12 = [4 ± sqrt(88)]/12

Since the value under the square root (the discriminant) is positive, we have two distinct real solutions for x. This means that the parabola crosses the x-axis at two points, so there are 2 x-intercepts.

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Answer:$1452.5

Step-by-step explanation:2075*.3=622.5

2075-622.5=$1452.5 is you answer

if im wrong correct me but have a blessed day

answer by:

(DJ)

Answer:

A

Step-by-step explanation: