QUESTION 15 What is the quotient when 10x3 3x2 - 7x + 3 is divided by 2x - 1? - a. 5x² + x + 3 b. 5x²-x +3 C. 5x² + x - -3 d. 5x² - x - 3 e. -5x² + x + 3

Answer:

$ 100

Step-by-step explanation:

$ 200 = 200 %

x$ = 100%

The Rule of Three

x = (100%) ($200) / 200%

x = $ 100

The graph that gives the best representation of the scenario is: option 1 (A).

The first graph is the correct one that best represents the scenario because it starts at the point of origin (0, 0), which means the bird covers not distance at zero time when it is still at its nest.

As the bird flies, distance increases with time till it stopped at a point to eat.. This is represented by horizontal line, meaning time increased but distance from the nest remains the same.

The upward slope from the spot represents the further distance the bird is flying in search for more food.

Therefore, the graph that gives the best representation of the scenario is: option 1 (A).

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Answer:

154 bonus points.

Step-by-step explanation:

The differential equation 8x - 4y√(x² + 1) dy/dx = 0 can be solved by multiplying both sides by dx/4y and substituting u = x² + 1. The solution is y² = (3/4) (x² + 2 - (8√(3/2))^2). The solution for dy/dt = 0.2(y - 150) is y = 0.2 t + C3.

A) We have the differential equation 8x - 4y√(x² + 1) dy/dx = 0. This equation is separable. Let's first multiply both sides by dx/4y.8x dx - 4y√(x² + 1) dy = 0We will next substitute u = x² + 1. Then du/dx = 2x. This will give usdu = 2x dx du/2 = x dx We will now substitute these values into the original differential equation.8x dx - 4y√u dy = 08x dx - 4y √u dy/du du/2 = 0Now let's integrate both sides.

∫ 8x dx - 2 ∫ y/√u dy

= 0∫ 8x dx - 4 ∫ (1/√u) du

du/2 = x² + C1/2u^(-1/2) = -2y/3 + C2

Multiplying both sides by 2u^(1/2), we have u^(1/2) = (-4/3) y + C2u = (-4/3) y² + C2² - 1

Now, substituting u = x² + 1, we have x² + 1 = (-4/3) y² + C2² - 1This givesy² = (3/4) (x² + 2 - C2²)The boundary conditions y(0) = -8 will help us to evaluate C2.8² = (3/4)(0² + 2 - C2²)192/3

= C2²C2

= 8 √(3/2)

Therefore the solution to the differential equation isy² = (3/4) (x² + 2 - (8√(3/2))^2)y² = (3/4) (x² - 14)This gives y = ±(3/2) √(x² - 14)B) Given the differential equation dy/dx = (10 + 16x)/xy², we will start by separating the variables. dx/dy = xy² / (10 + 16x)Now, we integrate both sides. ∫ dx/x² = ∫ 1/(10 + 16x) dx(-1/x) = (1/16) ln |10 + 16x| + C1y = [(1/16) ln |10 + 16x| + C1]^(1/2)The initial condition y(1) = 2 gives us2 = [(1/16) ln |10 + 16| + C1]^(1/2)C1 = (8√2 - 10)²

Therefore the solution to the differential equation isy = [(1/16) ln |10 + 16x| + (8√2 - 10)²]^(1/2)C) Given the differential equation dy/dt = 0.2(y - 150), we need to find the solution for y when y = 30 at t = 0.

dx/dy = xy² / (10 + 16x)dy/(y - 150)

= 0.2 dt

We can integrate both sides. ∫ dy/(y - 150) = ∫ 0.2 dt

ln |y - 150| = 0.2 t + C3|y - 150| = e^(0.2t + C3)When y = 30 at t = 0, we have|30 - 150| = e^(0.2(0) + C3)120 = e^C3Therefore the solution to the differential equation is |y - 150| = 120e^(0.2t)

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer:

1 and 8 alternate exterior angles

4 and 5 - alternate interior angles

6 and 7 - vertical angles

4 and 8 - corresponding angles

3 and 5 - consecutive interior angles

1 and 2 - linear pair

Step-by-step explanation:

Answer:

i believe the answer is 25

Step-by-step explanation:

goodluck

Answer:

25

Step-by-step explanation:

Make an equation:

8x-15 = 185

Solve for x.

Add 15 to both sides:

8x-15+15 = 185+15

8x = 200

Divide both sides by 8:

8x/8 = 200/8

x = 25

Answer: 4/25

Step-by-step explanation:

(2/5)^2 or can write as 2/5 times 2/5

2/5 times 2/5 = 4/25

Answer:

0.08

Step-by-step explanation:

2/5 = 0.4 x 0.4

The line segments on the given line are;

Line segment AB

Line Segment BC

Line Segment AC

A line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely.

A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

A segment is named by its two endpoints, for example, Line segment AB.

Now, looking at example 1, we see the line with an arrow at both of its ends showing that the line is infinite. However, from our definitions of line segment above we can say that the line segments on the line are;

Line segment AB

Line Segment BC

Line Segment AC

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A political party is made up of people who band together to run the government, win elections, and shape public policy. Currently, the two major parties in Congress are the Democratic and Republican.

Political parties act as a conduit between the governed and the ruling class. They educate the public, arouse inspiration, and pique interest in and engagement in public affairs. Their main duty is to suggest candidates for elected office.

Self-annuncation, in which a candidate for office only declares their candidacy, is the earliest method of nominating in American politics.

The national chairman, a national committee, the national convention, and two congressional campaign committees make up the party's overall organizational structure. The party is decentralized at the state level, and state legislation generally determines how it is structured.

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Answer:

36 or 63,504

Step-by-step explanation:

Answer:

-z-6≥-2.5

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

Graph C with values below

Step-by-step explanation:
To do this you substitute x with the values of x given to solve for y:
-3:

-2:

0:

2:

Using these values we can fill out the table and see the It must be graph C that is the correct curve.

Answer:

The slope is 2.

Step-by-step explanation:

You can take the second plotted point of the graph. (2,4)

Since slope is y/x, the equation is 4/2.

4/2=2

The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given that,

Population mean,  \(\bar{x}\) = 79

Population standard deviation, σ = 18

Sample size, n = 36

We have to determine the mean and standard deviation of a sampling distribution of sample means.

Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.

Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by \(\bar{x}\).

The sampling distribution of sample means \(\bar{x}\) is given by:

ц \(\bar{x}\) = ц

σ \(\bar{x}\)  = σ/√n

Therefore, for the sample size n = 36, the sampling distribution of sample means \(\bar{x}\) is obtained as:

ц \(\bar{x}\) = 79

σ \(\bar{x}\)  = 18/√36 = 3

Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.

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The sum of the first 7 terms of the series −8 16−32 64−... is 1,016.

The given series is an alternating geometric series with a first term of -8 and a common ratio of -2.

To find the sum of the first 7 terms, we can use the formula for the sum of an alternating geometric series:

S = a(1 - rⁿ) / (1 + r)

where:

S is the sum of the series,

a is the first term,

r is the common ratio,

and n is the number of terms.

In this case, a = -8, r = -2, and n = 7.

Plugging in the values:

S = (-8)(1 - (-2)⁷) / (1 + (-2))

= (-8)(1 - 128) / (-1)

= (-8)(-127) / (-1)

= 1016

Therefore, the sum of the first 7 terms of the series is 1016.

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Answer:

I think  40 percent

Step-by-step explanation:

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

Answer:

320

Step-by-step explanation:

cheerleaders =1

football team members=2

2+1=3

football team members= 480 ×2/3

=320

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

From the graph shown on the coordinate grid, the only correct option is shown in option 4.

When the input value is -4, then the function is shown at 2. Similarly when the input value is 0, the function is shown at 2.

Absolute values are non-negative value of a number. it can denote the distance of a number from zero

Answer:

$7,507

Step-by-step explanation:

Answer:

x = 46°

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equal to the sum of the measures of the two opposite interior angle to this vertex

In the given parallelogram

∵ Its two diagonals intersected at a point and formed 4 triangles

∵ The angle of measure 69° is an exterior angle of the triangle that

   contains angles z, x, and 23°

∵ The opposite interior angles to the angle of measure 69° are x and

   the angle of measure 23°

→ By using the rule above

∴ x + 23° = 69°

→ Subtract 23 from both sides

∴ x + 23 - 23 = 69 - 23

∴ x = 46°

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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im trying to find the answer to this question to, it makes no sense to me

Answer:

To prove that F = A’BC + A’BC’ + A’B’C + AB’C + ABC is equivalent to F = A'B + C, we can use proof by rewrite to simplify and transform one expression into the other.

Starting with F = A’BC + A’BC’ + A’B’C + AB’C + ABC, we can apply the distributive law to factor out A’ and get:

F = A’(BC + BC’ + B’C) + AB’C + ABC

Next, we can use the law of complementation to simplify A’(BC + BC’ + B’C) as A’B + A’C, and then use the distributive law again to factor out C:

F = A'B + A'C + AB'C + ABC

Finally, we can use the law of idempotence to simplify A'C + ABC as C + A'BC, and then substitute this into the above expression to get:

F = A'B + C

Therefore, we have shown that F = A’BC + A’BC’ + A’B’C + AB’C + ABC is equivalent to F = A'B + C using proof by rewrite. The key to the simplification was applying the distributive law, law of complementation, and law of idempotence, and using the fact that the uniting law allows us to combine terms that have a common variable.