a soup can has a diameter of 8 cm and a height of 12 CM what is the volume of the soup can use 3.14 for pi​

Answer:

The internal rate of change over the interval (-1,2) is 1

The inequality that represents the amount of sales, \(s$,\) that Lee must have to reach the goal is:

\($$s \geq \frac{525}{p}$$\)

In business and finance, profit refers to the monetary gain earned by a business or individual after subtracting the expenses from the total revenue. In other words, profit is the difference between the amount of money earned from selling goods or services and the total cost of producing or delivering those goods or services. Profit is often used as a key performance indicator (KPI) to measure the financial success of a business or individual.

Let's assume that the cost of making one t-shirt is c and Lee sells each t-shirt for p.

To make at least $400 profit, Lee's revenue from sales p must be greater than or equal to the sum of the startup costs $125 and the desired profit $400:

\($$p\times s \geq 125+400$$\)

We can simplify this inequality to:

\($$p\times s \geq 525$$\)

Therefore, the inequality that represents the amount of sales, \(s$,\) that Lee must have to reach the goal is:

\($$s \geq \frac{525}{p}$$\)

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Answer:

\(12/19\)

Step-by-step explanation:

When multiplying fractions, just multiply the numerator and the denominator. In this case, a whole number, or 3 is also known as \(3/1\).

\(\frac{4}{19} * \frac{3}{1}\)

You will get 12 for the numerator and 19 as the denominator.

Answer: answer 74 hope it help

Step-by-step explanation:

9x9= 81

3x3x3 27

27-20=7

81-7=74

Answer: (3x+4)(3x−5)

Step-by-step explanation:

No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.

A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.

When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.

However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.

In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

6.9

Step-by-step explanation:

6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.

The largest positive integer $n$ for which the given equation holds true for all real numbers $a_1, a_2, \dots, a_{n-1}$ (where $a_{n-1} \neq 0$) is $n = 3$.

We are given the equation $a_{n-1}x^2 - 2x\sqrt{a_1^2a_2^2\dots a_{n-1}^2}(a_1a_2\dots a_{n-1}) = 0$, and we want to determine the largest $n$ for which this equation holds true for any choice of $a_1, a_2, \dots, a_{n-1}$.

If we simplify the equation, we can rewrite it as $x^2 - 2x\left|a_1a_2\dots a_{n-1}\right| = 0$. From this equation, we can observe for any non-zero value of $a_1a_2\dots a_{n-1}$, the equation will always hold true, regardless of the value of $x$. However, when $a_1a_2\dots a_{n-1} = 0$, the equation becomes $x^2 = 0$, which implies that $x = 0$.

Therefore, for $n > 3$, we can find values of $a_1, a_2, \dots, a_{n-1}$ for which the equation does not hold true, making $n = 3$ the largest positive integer for which the equation holds true for all $a_1, a_2, \dots, a_{n-1}$.

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Answer:

Just simply look up how to find the volume of a prism and the answer will immediately come to your head you'll get the right answer.

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

180 - 114)  These angles are supplemental.  They add to 180

66

Answer:

m<6=66°

Step-by-step explanation:

Because m<2 and m<3 are both on a straight line, we know they must add to 180°:

m<2 + m<3 =180

We know m<3=114°, so:

m<2 +114 = 180

m<2 = 66

Since AB|CD, m<2 and m<6 are corresponding angels, making them equal, and so m<6=66°.

Answer:

Step-by-step explanation:

https://www.tiger-algebra.com/drill/2x_8y=68,y=6x-4/

The radius of the circle circumscribing the isosceles triangle is :

(a) 20sqrt(2).

To find the radius of the circle circumscribing the isosceles triangle, we need to use the fact that the perpendicular bisectors of the sides of the triangle intersect at the center of the circle. Since the triangle is isosceles, the perpendicular bisector of the base will also be an altitude, so it will intersect the base at its midpoint. Let's call this point M.

First, we can use the Pythagorean theorem to find the height of the triangle. If we draw an altitude from the vertex opposite the base to the midpoint of the base, we get two right triangles that are congruent by the hypotenuse-leg congruence theorem. Let's call the height h. Then:

h^2 + 24^2 = 40^2
h^2 = 40^2 - 24^2
h = sqrt(40^2 - 24^2)
h = 32

Now we can find the distance from the center of the circle to point M, which is the radius of the circle. Let's call this distance r. Since M is the midpoint of the base, its distance from each endpoint is 24. We can use the Pythagorean theorem again to find r:

r^2 = h^2 + 24^2
r^2 = 32^2 + 24^2
r^2 = 1152
r = sqrt(1152)
r = 12sqrt(8)
r = 24sqrt(2)

So the answer is (a) 20sqrt(2).

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The correct option is b which tells that an optimal solution to a linear programming problem must lie at the intersection of at least two constraints.

Linear programming is an optimization technique that is fine for the purpose of getting the best solution such as maximizing profit or certain 4th-era quantities.

When there are just two choice variables, the graphic method of solving a linear programming issue can be employed.

It is fine by modelling real-life problems into mathematical models that have linear relationships or constraints such as in the form of objective functions.

In linear programming, an objective function defines the formula for quantity optimization and the goal from this is to determine variable values that maximize or minimize the objective function depending on the problem robbery solved.

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25+200=X that is your equation    

Answer:

the answer is n ≥ -49

here are the steps for solving-

the problem Is like  n/7+3 ≥ -4

1. First subtract 3 from both sides. After doing that, the inequation should be Like This:

n/7 ≥ -7

2. since 7 is in Division form, when it goes to RHS, You multiply.

So -7 times 7 Is -49

so the answer is n≥ -49

Sum of interior angles of a triangle is 180 degrees

Add the angles up

2z-1+z+14+95 = 180

3z+108 = 180

3z = 72

z = 24

Z = 24

These coefficients can be determined by using the initial values to solve a system of linear equations. Another method involves using generating functions, which can help transform the recurrence relation into a simpler algebraic equation.

From there, you can find the coefficients of the solution by taking derivatives or performing other operations on the generating function. Both of these methods

Solving linear homogeneous recurrence relations with variable coefficients can be challenging, especially when there are no clear patterns to follow. However, there are methods that can help make the process more systematic. One approach is to use the characteristic equation, which involves finding the roots of the polynomial equation that represents the recurrence relation. From there, you can determine the form of the general solution, which will involve coefficients that depend on the initial values of the sequence. These coefficients can be determined by using the initial values to solve a system of linear equations. Another method involves using generating functions, which can help transform the recurrence relation into a simpler algebraic equation. From there, you can find the coefficients of the solution by taking derivatives or performing other operations on the generating function. Both of these methods require some mathematical background and practice, but they can be useful tools for solving linear homogeneous recurrence relations with variable coefficients.

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Answer:

180

Step-by-step explanation:

Answer:

0.001

Step-by-step explanation:

The volume of a cube when the area of a face is 0.01 square units is 0.001 cubic units

Cube is a three dimensional solid with a special characteristics such as having all the sides equal and intersecting at an angle of 90 degrees. A cube has six faces and each face has same properties as a square.

Given data

Area of face of a cube = 0.01 square units

solving for a side for the cube we have:

let a side of the cube be x

\(x = \sqrt{0.01}\)

x = 0.1

The volume of a cube is calculated by multiplying the three sides. We have earlier made a side to be x, so we have:

volume of a cube = x * x * x

volume of a cube = x^3

substituting the value of x gives

volume of a cube = 0.1^3

volume of a cube = 0.001 cubic units

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Answer:

Step-by-step explanation:

6

Answer:a

plz give brainliest

Step-by-step explanation:

Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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The probability of red on the second spin 1/12. the probability of blue on the second spin 1/18.  the probability of not spinning cyan on either spin is 25/36.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The ratio of favorable outcomes to all possible outcomes is used as the formula to determine an event's probability. Probabilities are always in the 0 to 1 range.

Probability = Number of Favorable Outcomes / Total Number of

we know the formula of probability;

probability=favorable outcomes/total number of outcomes

so for red:

P(red) = 3/6 = 1/2

so for blue:

P(blue) = 2/6 = 1/3

so for cyan

P(cyan) = 1/6

Now totally;

P( cyan then red) =  1/6 * 1/2 = 1/12

P(cyan then blue) =  1/6 * 1/3 = 1/18

P( no cyan on 2 spins) = (1/2+1/3)* (1/2+1/3) = 5/6 * 5/6 = 25/36

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Since i = √(-1), it follows that i ² = -1, i ³ = -i, and i ⁴ = 1.

q1. We have

i ³¹ = i ²⁸ × i ³ = (i ⁴)⁷ × i ³ = 1⁷ × (-i ) = -i

q2. Approach each square root individually:

√(-20) = √(-1 × 2² × 5) = √(-1) × √(2²) × √5 = 2i √5

√(-12) = √(-1 × 2² × 3) = √(-1) × √(2²) × √3 = 2i √3

Then

√(-20) × √(-12) = (2i √5) × (2i √3) = (2i )² √(5 × 3) = -4√15

You may have been tempted to combine the square roots immediately, but that would have given the wrong answer.

√(-20) × √(-12) ≠ √((-20) × (-12)) = √240 = 4√15

More generally, we have

√a × √b ≠ √(a × b)

for complex numbers a and b. Otherwise, we would have nonsensical claims like 1 = -1 :

√(-1) × √(-1) = i ² = -1

whereas

√(-1) × √(-1) ≠ √((-1)²) = √1 = 1

q3. Nothing tricky about this one:

3i × 4i = 12i ² = -12

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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We have:

h(x) = f(x) - g(x) = 8x^2 - 3x^4

Taking the derivative, we get:

h'(x) = 16x - 12x^3

Thus, h'(-1) = 16 - 12(-1)^3 = 16 + 12 = 28.

Therefore, h'(-1) = 28.

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