tao's restaurant orders 400 pound bags of rice. every week, they
go through 45 pounds. he has decided he always wants 2 weeks
worth of rice on hand in case of emergencies. what is the maximum
amount of time they can wait before placing another order?

Answer:

The probability of you winning is 1/3

No, it is not a fair game

Step-by-step explanation:

The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.

Please check attachment for this

Kindly note that the total number of possible outcomes is 36.

And in the attachment, sums which are divisible by 3 are circled.

The number of circles we can count is 12

Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3

Is it a fair game?

No, it is not

It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)

Answer:60

Step-by-step explanation:

We can start by splitting the figure into 3 rectangals. one with side lengths 4,6 another with 5,4 and another with 4,4. Then we get 24+20+16=60

Step-by-step explanation:

It is given that,

The height of the sail on a boat is 7 feet less than 3 times the length of its base.

Let the length of the base is x.

ATQ,

Height = (3x-7)

Area of the sail is 68 square feet.

Formula for area is given by :

\(A=lb\\\\68=x(3x-7)\\\\3x^2-7x=68\\\\3x^2-7x-68=0\)

x = 8 feet and x = -3.73 feet

So, length is 8 feet

Height is 3(8)-7 = 17 feet.

So, its height and the length of the base is 17 feet and 8 feet respectively.

Answer:

x= 136

Step-by-step explanation:

The two angles are corresponding angles, therefore they are equal to each other.

Answer: 136 degrees

Step-by-step explanation:

Angle 136 and x are corresponding angles so that’s why x is 136

The fourth angle is also x degrees, or approximately 40.57 degrees. The closest answer choice to these measures is C. 100° and 80°.

To solve this problem, we need to remember that opposite angles in a parallelogram are congruent. Let's call the measure of the third angle x. Then, the fourth angle is also x degrees.
Using the given information, we can set up an equation:
3(2+10) + x + 4(x+10) = 360
Simplifying and solving for x, we get:
36 + 3x + 40 + 4x = 360
7x = 284
x ≈ 40.57
Therefore, the measures of the angles are:
3(2+10) = 36 degrees
4(x+10) = 163.43 degrees
x = 40.57 degrees
And the fourth angle is also x degrees, or approximately 40.57 degrees.
The closest answer choice to these measures is C. 100° and 80°.

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Answer:

y = 24√3, or approximately 41.6

Step-by-step explanation:                                √3        36

Here the ratio 36/y = cosine of 30 degrees = ------- = ------

                                                                               2         y

Cross-multiplying yields (√3)y = 72, so y = 72/√3, or 72√3/3, or y = 24√3

Answer:

If a line is parallel with Another...

They will have the same Gradient or equal Gradient (m)

So for two parallel lines

m=m'

So the gradient of the second or other line would be Same

Now

y= -3x + 10

comparing with

y= mx + c

m = -3

So the other line would have the same gradient.

from the options provided in the comment section...

y= -3x + 12

Is your Most probable answer cos it has the same gradient

Answer:

can u plz put a picture

Step-by-step explanation:

Answer:

I think it’s D not sure tho

Step-by-step explanation:

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

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Answer:

75.9 km/hr

Step-by-step explanation:

Distance between the highway and farmhouse is given as = 2km = a

The distance after the intersection and the highway = b

Let the distance between the farmhouse and the car = c

Using the Pythagoras Theorem rule

c² = a² + b²

c² = 2² + b²

Step 1

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

c² = 2² + b²

dc/dt (2c) = 4 + 2b

dc/dt =[ b/(√b² + 4)] × db/dt

We are told in the question that:

the car travels past the farmhouse on on the highway at a speed of 80 km/h.

We are asked to calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road.

This calculated using the obtained differentiation above:

dc/dt = [ b/(√b² + 4)] × db/dt

Where b = 6km

db/dt = 80km/hr

[6/(√6² + 4)] × 80km/hr

6/√36 + 4 × 80km/hr

6 × 80/√40

480/√40

= 75.894663844km/hr

Approximately = 75.9km/hr

In this exercise we want to calculate the speed of the vehicle to reach the farm, in this way we will find a speed of approximately:

\(75.9 km/hr\)

To start this exercise we have to use some data informed in the text, like this:

Since distance is involved, time is required. Hence, we differentiate the equation above in respect to time

\(c^2 = 2^2 + b^2\\\frac{dc}{dt} (2c) = 4 + 2b\\\frac{dc}{dt} =[ b/(\sqrt{b^2} + 4)] ( \frac{db}{dt})\)

Calculate the speed at which the distance between the car and the farmhouse kept increasing when the car is 6 km past the intersection of the highway and the road. This calculated using the obtained differentiation above:

\(\frac{dc}{dt} = [ 6/(\sqrt{6^2} + 4)] (80)\\=6/\sqrt{36} + 4 * 80\\=6 * 80/\sqrt{40} \\=480/\sqrt{40} \\= 75.9km/hr\)

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The area of Jimmy's rectangular room is approximately 27.7241 square yards.

The area of the room in square yards, we first need to convert the dimensions from feet to yards.

Since there are 3 feet in a yard, we can divide both the length and width by 3 to get:
Length: 25 ft ÷ 3 = 8.33 yards (rounded to two decimal places)
Width: 10 ft ÷ 3 = 3.33 yards (rounded to two decimal places)

Now we can find the area by multiplying the length and width in yards:
Area = 8.33 yards x 3.33 yards
Area = 27.7241 square yards (rounded to four decimal places)

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Step-by-step explanation:

then let's change that. you don't want to stay a dumdum, right ?

midpoint. what does that mean ? it is the point exactly in the middle between 2 other points.

what does that mean to be in the middle between 2 other things ?

well, it means that the distance is the same to both other things. otherwise it would not be the middle.

therefore,

4.

QS = 56 ft

exactly the same distance as PQ.

PS = PQ + QS

because Q is the point in the middle between P and S.

it is really that simple.

5.

the line segment PQ is bisected (cut in half) by the line segment MN at point R.

so, we know what the intersection of PQ and MN did to PQ (cut PQ in half). but this does not tell us what it did to MN. it could be also one of the ends of MN that cut PQ in half. we simply don't know.

therefore, we cannot say anything about the midpoint of MN.

and therefore the first 2 answer options are not generally correct. they COULD be correct, but they could be also wrong. therefore they are mathematically and logically not a true statement per se. for that the statement needs to be true unconditionally = in all possible cases.

R is the midpoint of PQ. yes, correct. that's what is meant by being bisected or cut in half at that point.

since the 3rd answer option is correct, the 4th answer option (none of these) is incorrect.

sum (meaning adding) of a neg and a pos always neg if the negative number is bigger than the positive

product (meaning multiplication) of a neg and a pos always neg

if you have $5 (positive number) &

you owe a friend $3 (negative number).

If we calculate your total wealth by multiplying the amount you have by the amount you owe, it would be $5 x (-$3) = -$15.

This means you have a debt of $15, which is a negative amount.

when you multiply a positive number by a negative number, you are adding or gaining something in the opposite direction, which means you are actually losing or subtracting

Because you are losing or subtracting something, the result is a negative number

chatgpt bardAI

The width and length of the rectangle is 27 cm and 36 cm. respectively.

To solve the problem, we can use the Pythagorean theorem since the diagonal, width, and length of the rectangle form a right triangle. The Pythagorean theorem states that:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse (diagonal of the rectangle).

Let's denote the width of the rectangle as w, the length as l, and the diagonal as d. According to the problem, we have:
d = w + 18
l = w + 9

Substituting these equations into the Pythagorean theorem, we get:
(w + 9)² + w² = (w + 18)²

Expanding and simplifying the equation, we get:
w² - 18w - 243 = 0

We can solve for w by factoring the expression:
(w - 27)(w + 9) = 0

w = 27 or w = -9

The positive solution for w is 27. We can use this value to find the length of the rectangle:
l = w + 9
l = 27 + 9
l = 36

Therefore, the width of the rectangle is 27 cm, and the length of the rectangle is 36 cm.

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Answer:

after 2 seconds

Step-by-step explanation:

Given

h(x) = - x² + 4x + 12

The ball will reach its maximum at the vertex of the parabola

Find the zeros by letting h(x) = 0, that is

- x² + 4x + 12 = 0 ← multiply through by - 1

x² - 4x - 12 = 0 ← in standard form

(x - 6)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 6 = 0 ⇒ x = 6

x + 2 = 0 ⇒ x = - 2

The x- coordinate of the vertex is at the midpoint of the zeros, thus

\(x_{vertex}\) = \(\frac{-2+6}{2}\) = \(\frac{4}{2}\) = 2

Substitute x = 2 into h(x)

h(2) = - 2² + 4(2) + 12 = - 4 + 8 + 12 = 16

The cannonball reaches its maximum height of 16 ft after 2 seconds

Answer:

2 seconds

Step-by-step explanation:

I just did it just trust me. This isn't reated to the answer but I had spagehtti for lunch

Answer:

x=10

Step-by-step explanation:

x^2 + 24^2 = 26^2

x^2 + 576 = 676

x^2 = 100

√x^2 = √100

x=10

Answer:

well,  we carry 2 of 2 of x so we know that 10 is in because of 6 +4  and 2+2=4  add them up so if im correct its 14 mark brainleist

Step-by-step explanation:

The system of equations represented in matrix form as:

[[A]] × [[X]] = [[B]]

[[-4, -2], [x], [7],

[3, 1]] * [y] = [-5]

To represent the system of equations with a matrix, write the coefficients of the variables and the constants as a matrix equation.

The given system of equations

-4x - 2y = 7

3x + y = -5

We can rewrite the system of equations using matrix notation as:

A × X = B

where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The coefficient matrix, A, is formed by the coefficients of the variables:

A = [[-4, -2],

[3, 1]]

The variable matrix, X, contains the variables:

X = [[x],

[y]]

The constant matrix, B, contains the constants on the right-hand side of the equations:

B = [[7],

[-5]]

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The survival time of a 60kg deer without food at -20 degrees Celsius depends on various factors, including its age, sex, and physical condition. However, assuming the deer is healthy and has 5kg of fat, it could potentially survive for around 30 to 50 days without food.

The exact survival time can vary depending on several factors, such as the deer's level of physical activity, environmental conditions, and how much energy it is expending to stay warm in the cold temperature. Additionally, if the deer is able to find sources of water, this can also increase its chances of survival.

It's important to note that this is just an estimate and that the actual survival time may vary. If the deer is injured or sick, its chances of survival may be reduced, and it may not be able to survive as long without food.

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Complete Question

How many days could a 60kg deer survive without food at -20 degrees Celsius if it has 5kg of fat?

Answer:

they are alternate interior angles and because we have parallel lines these two angles are equal

these angles are equal to 115°

Step-by-step explanation:

57x+1=56x+3

57x-56x=3-1

x=2

57x+1=57*2+1=114+1=115°

56x+3=56*2+3=112+3=115°

Answer:

It would take 9 years for the population to fall below 10000.

The function that is odd is `f(x) = 3sin(-x)`.

A function is odd if it satisfies the property:

```

f(-x) = -f(x)

```

Let's check each of the given functions to see which one is odd.

- `f(x) = 3sin(x)`: This function is not odd, because `f(-x) = 3sin(-x) = -3sin(x)`, which is not equal to `-f(x)`.

- `f(x) = 3sin(-x)`: This function is odd, because `f(-x) = 3sin(-(-x)) = 3sin(x) = -f(x)`.

- `f(x) = 3sin(x) + 3cos(x)`: This function is not odd, because `f(-x) = 3sin(-x) + 3cos(-x) = -3sin(x) + 3cos(x)`, which is not equal to `-f(x)`.

- `f(x) = 3cos(-x)`: This function is odd, because `f(-x) = 3cos(-(-x)) = 3cos(x) = -f(x)`.

Therefore, the function that is odd is `f(x) = 3sin(-x)`.

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Answer:

y=16.96

Step-by-step explanation:

Sin(58)=opposite/hypotenuse

Sin(58)=y/20

20×Sin(58)=(y/20)×20

y=16.96

If an indifference curve is straight, the marginal rate of substitution (MRS) is indeed constant.

The MRS represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of satisfaction. A straight indifference curve means that the consumer is indifferent between two goods, regardless of the quantity of each good they have. Therefore, the MRS between these goods remains constant, regardless of the quantity of each good consumed. On the other hand, if an indifference curve is bowed inward, the MRS is not constant and changes as the consumer moves along the curve. Yes, if an indifference curve is straight and does not bow inward, it implies that the marginal rate of substitution (MRS) is constant. In this case, the consumer is willing to substitute one good for another at a fixed rate, regardless of the quantity of goods consumed. This constant MRS reflects the consumer's equal preference for both goods, and thus, the indifference curve remains linear.

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we have the following:

therefore, replacing:

the answer is, the perimeter is 10x + 8

Using the Distributive Property, we can simplify the equation \(2(3x + 4) = 6x + 8\)  by multiplying 2 by each term inside the parentheses to get \(6x + 8.\)

Isolate the variable: To isolate the variable in an equation means to rearrange the equation in such a way that the variable appears alone on one side of the equation.

For example, to isolate the variable n in the equation \(3n + 12 = 27,\)  we can subtract 12 from both sides to get 3n = 15 and then divide both sides by 3 to get  \(n = 5.\)

Inequality: An inequality is a mathematical statement that compares two expressions using one of the symbols <, >, ≤, or ≥. For example, \(3x + 5 < 10\)  is an inequality that states that the expression   \(3x + 5\) is less than 10.

Distributive Property: The Distributive Property is a property of multiplication that states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the products.

For example,  \(10(x + 5) = 10x + 50\) is an equation that uses the Distributive Property to simplify the expression \(10(x + 5)\) .

Example:

To isolate the variable in the equation  \(4y - 6 = 18\), we can add 6 to both sides to get  \(4y = 24\), and then divide both sides by 4 to get y = 6.

The inequality  \(2x + 3 > x + 7\) states that the expression \(2x + 3\) is greater than x + 7.

Therefore, Using the Distributive Property, we can simplify the equation   \(2(3x + 4) = 6x + 8\) by multiplying 2 by each term inside the parentheses to get   \(6x + 8\).

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Answer:

30 inches

Step-by-step explanation:

The circumference of a circle (the length around it) is equal to pi times the diameter.

C = πd

The circumference is 94.2 inches, so the diameter is:

94.2 in = πd

d ≈ 30 in