What is the area of the triangle bounded by the x-axis, the y-axis, and the line y=−3x+12?

Answer:

100 + 6.98 = 106.98
81,636 x 106.98 / 100

= 87,334. 19

Step-by-step explanation:

The least number of each pack that Martin can buy is 5 packs of burger and 3 packs of bread buns.

Since the packs of bread buns contain 40 bread buns and each pack of burgers contains 24 burgers, then we'll calculate the multiples of each number. This will be:

Multiples of 24 = 24, 48, 72, 96, 120

Multiples of 40 = 40, 80, 120, ...

Therefore, the least common multiple is 120.

The least number of packs of burger to buy is 5 and least number of packs of bread buns to buy is 3.

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Answer:

y=1.5x+2.5 ,

y=32x+52 ,

y=32x+2.5 ,

or

y=1.5x+52

The equation in slope-intercept form to model the cooking time in minutes, y, for x patties is y = (3/2)x + 1.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given,  On a box of chicken patties state that one patty should be cooked for 2.5 minutes in the microwave.

If more than one patty is cooked, an additional 1.5 minutes should be added per patty.

So,  The equation in slope-intercept form to model the cooking time in minutes, y, for x patties.

If we write this as y = 1.5x + 2.5 and put x = 0 , y = 2.5 which is not satisfying the given statement.

∴ y  = 1.5x + (2.5 - 1.5). (the additional patty cooking time).

y = 1.5x + 1.

y = (3/2)x + 1.

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Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

The direct path back forms a right triangle. Use the Pythagorean theorem:

X = sqrt(4^2 + 2^2)

X = sqrt(16 + 4)

X = sqrt(20) = 2sqrt(5)

X = 4.472

Round the answer as needed.

Answer:

x = -72

Step-by-step explanation:

-72 + 8 = -64

The third square root of -64 is -4

Rounding to the nearest hour, it would take the rocket approximately 8 hours to travel to the moon at a speed of 500 miles per minute.

The amount of time it takes a rocket to travel to the moon, we need to divide,

the distance between the earth and the moon (239,000 miles) by the speed of the rocket (500 miles per minute).
So, the calculation would be:

239,000 miles ÷ 500 miles per minute = 478 minutes
To convert this into hours, we need to divide by 60:
478 minutes ÷ 60 = 7.97 hours

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The probability of randomly selecting a primitive element from this group can be calculated by dividing the number of primitive elements (960) by the total number of elements in the group (3708). Therefore, the probability is approximately 0.259 or 25.9%.

1. The multiplicative group Z3709 consists of integers modulo 3709 that are coprime to 3709. To determine the number of primitive elements in this group, we need to find the totatives or numbers coprime to 3300 (φ(3709)). Euler's totient function φ(n) calculates the number of positive integers less than n that are coprime to n. In this case, φ(3300) = 960. These 960 elements are the primitive elements of Z3709.

2. To find the probability of randomly selecting a primitive element from the group, we divide the number of primitive elements (960) by the total number of elements in the group. Since Z3709 has 3708 elements (excluding 0), the probability is given by 960/3708 ≈ 0.259, which can be expressed as approximately 25.9%. Therefore, if an element is chosen randomly from the group Z3709, there is a 25.9% chance that it will be a primitive element.

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Answer:

\(\huge\boxed{\bf\:2r^{7}}\)

Step-by-step explanation:

Let the variable be taken as 'r'.

Then, by raising it to the 7th power, we'll get the result as \(\downarrow\)

 \(\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}\)

Now, by doubling the result....

\(\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}\)

\(\rule{150pt}{2pt}\)

Answer:

2r⁷

Step-by-step explanation:

Raise r to 7th power

= r⁷

Double it

= 2r⁷

_________

Hope it helps ⚜

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

The Graph is not linear.

To graph f, we graph the equation y = f(x). To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x-intercepts, we set y = 0. Since y = f(x), this means f(x) = 0. f(x) = x2−x−6 0 = x2−x−6 0 = (x−3)(x+2) factor x−3=0 or x+2=0 x = −2,3 So we get (−2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x = 0. Using function notation, this is the same as finding f(0) and f(0) = 02 − 0 − 6 = −6. Thus the y-intercept is (0, −6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right. y x f(x) (x, f(x)) −3 6 (−3,6) −2 0 (−2,0) −1 −4 (−1,−4) 0 −6 (0, −6) 1 2 3 4 5 6 7 −3−2−11 2 3 4 1 −6 (1, −6) 2 −4 (2, −4) 3 0 (3, 0) 4 6 (4, 6)

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Answer:

Did you just start today? It looks like you're new here. I'm also new here.

Step-by-step explanation:

I don't really know what to do either.

From what I've done so far, I don't understand it.

Sorry.

hi thats confusingAnswer:

Step-by-step explanation:

h

Answer: 2,500 blocks

Step-by-step explanation:

Hi, to answer this question we have to calculate both volumes:

Volume of a rectangular prism= length x width x height

Volume of the block = 22 x 11 x 7 = 1,694 cm3

Before calculating the volume of the wall, we have to convert the measures in m to cm:

Since:

1m = 100 cm

5 1/2 m x 100 = 550 cm (length)

3 1/2 m x 100 =350 cm (height)

Volume of the wall = 550 x 22 x 350= 4,235,000 cm3

Finally:

Volume of the wall /Volume of the block = 4,235,000 / 1,694 = 2,500 blocks.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Step-by-step explanation:

If you use de morgan's laws to write out \(-(PvQ)\), it returns -P ^ -Q

And if ^ means 'and', it is showing that (P and Q) and (-P and -Q) which isn't possible since there can't be something that is both true and false. Therefore, it is a contradiction since something can not be true a nd false at the same time.

Answer:

Please refer to the attachment

Answer:

x = -1/2   or x = -3

Step-by-step explanation:

2x^2 + 7x + 3 = 0

First, we try factoring the polynomial.

(2x + 1)(x + 3) = 0

It works. Now we set each factor equal to zero.

2x + 1 = 0   or   x + 3 = 0

2x = -1   or   x = -3

x = -1/2   or x = -3

"The domain of 9(x) = f(x-2) - 8 is -3 ≤ x ≤ 9 and the range is -6 ≤ y ≤ 7" is correct.

What is the Domain and Range of the function?

The domain of a function is the set of all input values (x-values) for which the function is defined. It is the set of all values of x for which the function is defined.

The range of a function is the set of all output values (y-values) that the function can produce. It is the set of all possible values that the function can take on.

The domain of a function is the set of all input values (x-values) for which the function is defined. The range of a function is the set of all output values (y-values) that the function can produce.

When we shift a function horizontally, the domain remains unchanged, but the range will change. In the case of a shift of -2, the domain of f(x) is still -3≤x≤9

For 9(x) = f(x-2) - 8, it means that we are taking the output of f(x-2) and subtracting 8 from it. So, the range of 9(x) will be (2-8) ≤ y ≤ (15-8) = -6 ≤ y ≤ 7.

In summary,

The domain of 9(x) = f(x-2) - 8 is -3 ≤ x ≤ 9

The range of 9(x) = f(x-2) - 8 is -6 ≤ y ≤ 7

Hence, statement "The domain of 9(x) = f(x-2) - 8 is -3 ≤ x ≤ 9 and the range is -6 ≤ y ≤ 7" is correct.

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Step-by-step explanation:

5x + 13 = 1/3(9x – 6) + 7x

5x + 13 = 3x-2+7x

5x-3x= -2-13

2x= -15

x= -7.5

The area of the region bounded by the two parabolas is 512/3 square units.

To find the area of the region bounded by the two parabolas, we can use a line integral along the boundary of the region. The boundary consists of two curves, one corresponding to the parabola r = <t, 6t^2> and the other corresponding to r = <t, 28 - t^2>, where -2 ≤ t ≤ 2.

To set up the line integral, we need to parameterize each curve. For the first curve, we can set t as the parameter, so r = <t, 6t^2>, and for the second curve, we can set s = 28 - t^2 as the parameter, so r = <t, s>.

Next, we need to find the limits of integration for the line integral. We can take t to range from -2 to 2, so the limits for the first curve are -2 ≤ t ≤ 2. For the second curve, we need to find the range of s that corresponds to the given range of t. When t = -2, s = 28 - (-2)^2 = 24, and when t = 2, s = 28 - 2^2 = 24. Therefore, the limits for the second curve are 24 ≤ s ≤ 24.

Now, we can set up the line integral as follows

∫_C x dy = ∫_(-2)^2 6t^2 dt + ∫_24^24 t ds

Note that we use x and y coordinates because these are the variables that the line integral is integrating over, but we could have used r and θ coordinates as well.

Evaluating the integral, we get:

∫_C x dy = 512/3 square units

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The given question is incomplete, the complete question is:

Use a line integral on the boundary to find the area of the following region.

The region bounded by the parabolas r= <t,6t2> and r= <t,28−t2> for −2≤t≤2.

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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ANSWER

EXPLANATION

The Chairman and Co-Chairman are specific positions, so order matters. We first select the chairman out of 10 people and then, the Co-Chairman out of the 9 people left,

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

The basic counting concept is a method for keeping track of all the potential outcomes in a scenario. It indicates that there are nm methods to carry out both of these activities if there are n ways to carry out one action and m ways to carry out another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.

Here,

Since I don't know anything about NCAA's March Madness, I'll assume that you're talking about a 64-team single-elimination tournament.

In the first round, there are 32 games, each with 2 possible outcomes. This provides for a total of 2^32 possibilities.

In the next round, there are only 16 games, again each with 2 possible outcomes, for a total of 2^16 possibilities.

You keep going, eliminating half of the players each round and taking half as long as the previous round to play the games out, until the finals, at which point there is 1 game with 2 possible outcomes.

This is a total of 2^32×2^16×2^8×2^4×2^2×2^1 possible outcomes that is 2^63 outcomes.

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Answer:

175

Step-by-step explanation:

its easy just multiply 7 and 25

p = d(w)/dt ,  this equation is used to describe how the value of w changes over time.

Left side: p is the derivative of w

Right side: d(w)/dt, where d stands for derivative and dt stands for derivative with respect to time (t)

The mathematical translation of the sentence "p is the derivative of w with respect to time (t)" is expressed as p = d(w)/dt. This equation states that p is the rate at which w changes over time (t). The left side of the equation, p, is the derivative of w indicating that it is the rate of change of w with respect to time. The right side of the equation, d(w)/dt, is the derivative of w with respect to time. The d stands for derivative, and the dt stands for derivative with respect to time. Therefore, this equation is used to describe how the value of w changes over time.

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Answer:

10 cm

Step-by-step explanation:

im smart

One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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Answer:5566

Step-by-step explanation: