678 students are taking a field trip. A bus can seat 48 people. How many buses
will be needed for the trip? *

Answer:

x=1

Step-by-step explanation:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. In this equation, the AOS is x=1

Brainliest would be appreciated! :-)

Step-by-step explanation:

it is simple you know

make 3 month into year by 3/12

then solve it using formula

1) The distance left in the race is  554.93km

2) The total amount earned is $2,178.91

We know that the total race is of 1000km, to find the distance missing, we need to take that total distance and subtract the amounts that the cyclist already traveled.

Then we will get:

distance left = 1000km - 145.8km - 136.65km - 162.62 km

distance left = 554.93km

That is the distance left in the race.

2) We know that each piece costs $19.99, and 109 pieces are sold, then the amount earned is the product between these two numbers.

Earnings = 109*$19.99  = $2,178.91

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Answer:

x = 6

Step-by-step explanation:

6x + 27 = 12x - 9

6x -12x = -9 -27

-6x = -36 /: (-6)

x = 6

Answer:

-0.099

Step-by-step explanation:

0.9 × -0.11 = -0.099

Your pfp is giving me a seizure

You're like 12

And your cringy

""Sorry to be mean XD""

Answer:

y = -4

Step-by-step explanation:

6 - 3y = 6

now were going to get the variable and the numbers on different sides

6 - 3y - 6 = - 3y

6 + 6 = 12

now divide each side by -3

-3y / -3 = y

12 / -3 = -4

y = -4

The corresponding homogeneous differential equation with constant coefficients is y''' - (4i + 5)y'' + 20iy' - 20y = 0, where y is the dependent variable and i is the imaginary unit.

Given that the roots of the cubic auxiliary equation are r₁ = 2i and r₂ = 5, we can write the equation as

(x - 2i)(x - 2i)(x - 5) = 0

Expanding this equation, we get

(x² - 4ix + 4)(x - 5) = 0

Simplifying further, we get

x³ - (4i + 5)x² + 20ix - 20 = 0

Therefore, the corresponding homogeneous differential equation with constant coefficients is

y''' - (4i + 5)y'' + 20iy' - 20y = 0

where y is the dependent variable and i is the imaginary unit.

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Answer:

x=1/8

y=27/8

Step-by-step explanation:

First number=x

Second number=y

x+y=4x+3

x-y=2y-10

Answer:

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

The standard equation for a circle is (x - a)² + (y - b)² = r²

If you find the r² of this circle, you will get 100, and there's just one equation with 100

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer:

130

Step-by-step explanation:

65/50*100= 130

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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The iterated integral that expresses the surface area of the given function over the given triangle is:

∫ from -1 to 0 ∫ from 2x+2 to x+2 √(1 + (9x^4sin^4x)) dy dx + ∫ from 0 to 1 ∫ from 2 to 2x+2 √(1 + (9x^4sin^4x)) dy dx This represents the double integral over the region of the triangle, where the function being integrated is the square root of the sum of the squares of the partial derivatives of the given function with respect to x and y. The limits of integration are determined by the bounds of the triangle in the x and y directions, which are broken up into two regions based on the dividing line x=0. The double integral is evaluated using standard techniques for integrating over regions in two dimensions, such as Fubini's theorem or change of variables. The resulting value represents the surface area of the given function over the given triangle.

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The first credit card was Diners Membership Card in 1950.  In 1951 the Franklin National Bank issued the first credit card on Long Island, New York.

The key purchases from US credit history are as follows:

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Answer:

10 months

Step-by-step explanation:

30x = 22x + 80

8x = 80

x = 10

The correct answer is option (c): 1 (probability of 1). If two events are collectively exhaustive, the probability that they both occur is 1.

When two events are collectively exhaustive, it means that one of the events must occur. In other words, the two events together cover all possible outcomes, leaving no room for any other outcome to happen. Since at least one of the events must occur, the probability of their joint occurrence is 100%, or 1.

To understand this concept, consider a simple example. Let's say we have two events: A and B. If A and B are collectively exhaustive, it means that either event A occurs or event B occurs, or both events A and B occur together. Since all possibilities are covered, the probability of their joint occurrence is certain, and therefore, it is 1.

Option a (0), option b (0.5), and option d (it cannot be determined from the information given) are incorrect because they suggest that there is a possibility that both events might not occur, which contradicts the assumption that the events are collectively exhaustive.

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The probability of getting 9 heads out of 15 coin flips is approximately 0.4000

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. An event with probability 0 is impossible, while an event with probability 1 is certain. The probability of an event A is typically denoted as P(A), and it is calculated by dividing the number of outcomes that satisfy A by the total number of possible outcomes in the sample space.

The probability of getting 9 heads out of 15 coin flips is given by the binomial distribution formula:

P(X = 9) = (15 choose 9) × (0.5)⁹× (1 - 0.5)¹⁵⁻⁹

where "choose" represents the binomial coefficient, which calculates the number of ways to choose k items out of n, and is calculated as n!/(k!(n-k)!).

Evaluating this expression, we get:

P(X = 9) = (¹⁵C₉) × (0.5)⁹× (0.5)⁶

P(X = 9) = 5005×(0.5)¹⁵

P(X = 9) ≈ 0.438≈0.4

Therefore, the probability of getting 9 heads out of 15 coin flips is approximately 0.4000

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Answer:

0.1527

Step-by-step explanation:

Step-by-step explanation:

Volume of a sphere is given by the formula

4/3 pi r^3       diameter = 6.3 cm  so radius, r = 3.15 cm

4/3 * pi * (3.15)^3 = 130.9 cm^3

Given that Justice selected a random sample of 25 students at his school and asked the students.

To report their GPAs and was 90% confident that the interval from 0.40 to 0.72 captures the proportion of all students at his school with GPAs greater than 3.0. We need to calculate the sample proportion Justice obtained from his sample.  Solution :We know that the confidence interval for population proportion is given by:

s the level of significance (type I error rate) Justice said that he was 90% confident that the interval from 0.40 to 0.72 captures the proportion of all students at his school with GPAs greater than 3.0. So, the confidence with GPAs greater than 3.0. Therefore, the midpoint of the interval represents the sample proportion, which is given by:[\overline{p}=0.56\]Thus, Justice obtained the sample proportion 0.56 from his sample.

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Answer:

Irrational

Step-by-step explanation:

40 is not a perfect square.

Answer:

irrational

Step-by-step explanation:

40 isnt a perfect square where if you want to know weather it is or not you put the square root of any number on the calculator and if it's the same answer or in the answer there is a square root then it is an irrational number

Answer:

x = 4

Step-by-step explanation:

x = 4 is a vertical line that passes through all points with x-coordinate of 4.

Answer:

A: 5

B: 2

C: -34

Answer:

factor

Step-by-step explanation:

Answer:

2 pair=3.18×2=6.36

3pair anklets=3×4.47=13.47

total=19.77

6.36+13.41

19.77

195 out of 1500 would be left handed

Answer:

Step-by-step explanation:

Firstly, find the total amount of pens

5  + 10 + 20 = 35, Total of 35 pens

White pens: 10/35

Not a red pen: 20 + 10= 30, 30/35

Calculate these to a percentage:

White- 10/35: 28.57%

Not a red pen- 30/35: 85.71%

To find the absolute maximum and minimum values of the function f(x) = x^4 + 8x^3 - 80x^2 on the interval [-4, 3], we need to evaluate the function at the critical points and endpoints of the interval.

Critical Points:

To find the critical points, we need to find the values of x where the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x), we get:

f'(x) = 4x³ + 24x² - 160x

Setting f'(x) equal to zero, we have:

4x³ + 24x² - 160x = 0

Factoring out common terms, we get:

4x(x² + 6x - 40) = 0

Using the zero-product property, we have two critical points:

x = 0 and x² + 6x - 40 = 0

Solving the quadratic equation, we find:

x = -10 or x = 4

Endpoints:

The interval [-4, 3] has two endpoints: x = -4 and x = 3.

Now, we evaluate the function f(x) at the critical points and endpoints to find the absolute maximum and minimum values.

f(-4) = (-4)⁴ + 8(-4)³ - 80(-4)² = 256 - 512 - 1280 = -1536

f(3) = (3)⁴ + 8(3)³ - 80(3)² = 81 + 216 - 720 = -423

f(0) = 0⁴ + 8(0)³ - 80(0)² = 0

Therefore, the absolute maximum value of f(x) on the interval [-4, 3] is -423, and the absolute minimum value is -1536.

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