For the following pair of lines, identify the system by type.

A) consistent
B) equivalent
C) inconsistent

Population of the town after 5 years = 8933.59.

Population growth rate is defined as the change in the size of the population with respect to the time.

The growth rate is usually written as the ratio of the annual increase or decrease in population to the entire population of that year.

The formula for finding the future population is,

P(F) = P(R) [ 1 + r]ⁿ , where

P(F) = Future population

P(R) = Present population

r = Growth rate

n = Number of years

From the question, we have

P(R) = 8500, r = 1% = 0.01 and n = 5

Substituting these values in the main equation,

P(F) = 8500 [ 1 + 0.01 ]⁵

P(F) = 8500 × 1.01⁵

P(F) = 8933.59

Hence, the population of the town after 5 years if the rate of increase in population is 1% = 8933.59

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The maximum height the football reaches is 147 feet, and it takes 3 seconds for the football to reach that height. To determine when the football is above 122 feet, the equation is set equal to 122 and solved for time t.

To find the maximum height reached by the football, we need to determine the vertex of the parabolic function given by y = -[tex]16t^2[/tex] + 96t + 3. Since the coefficient of [tex]t^2[/tex]is negative, the parabola opens downwards, and the vertex will give us the maximum height.

To find the time at which the maximum height occurs, use the formula t = -b/2a, where a is the coefficient of [tex]t^2[/tex] and b is the coefficient of t.

In this equation, a = -16 and b = 96, so t = -96/(2 x -16) = 3 seconds. Plugging this back into the original equation gives us the maximum height: y = -16[tex](3)^2[/tex] + 96(3) + 3 = 147 feet.

To determine when the football is above 122 feet, we set the equation equal to 122 and solve for t:

122 = -[tex]16t^2[/tex] + 96t + 3. We simplify and solve the quadratic equation, which may yield two possible times, one during the ascent and one during the descent of the football's path.

Answer:

Weight of 11 books =38.5 pounds

Step-by-step explanation:

Weight of 8 science book = 28 pounds

Weight of 11 science books = ?

If 8 science books -----------------------28 pounds

then 11 science books ---------------------?

Cross multiplying, we have

Weight of 11 books = (11 * 28)/8

                                = 308/8

                               = 38.5 pounds

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

Answer:  The correct option is (A) (x + 3) is a factor of the polynomial.

Step-by-step explanation:  Given that p(x) is a polynomial with integer coefficients and p(-3)=0.

We are to select the true statement from the given options.

Factor Theorem:  If q(x) is a polynomial with integer coefficients and q(a) = 0, then (q - a) will be a factor of q(x).

Here, it is given that

p(x) is a polynomial with integer coefficients and p(-3) = 0.

Therefore, by Factor theorem, we can say that (x-(-3)), ie., (x + 3) is a factor of the polynomial p(x).

Thus, (x + 3) is a factor of the polynomial.

Option (A) is CORRECT.

If m∠CXP = 106.02°, m∠SYD is 73.98°. Among the given ones the correct option is 1.

In geometry, a transversal is a line that intersects two or more other lines in a plane.

When a transversal intersects two parallel lines, it forms a set of eight angles, including alternate interior angles, alternate exterior angles, corresponding angles, and consecutive interior angles.

If the lines PQ←→ and RS←→ are parallel, then the alternate interior angles formed by transversal CD←→ are congruent. Therefore, we have:

m∠CXP = m∠DYX (alternate interior angles)

m∠CXD + m∠DXP = 180° (linear pair)

We can use these two equations to find m∠SYD. First, we need to find m∠CXD, which is the same as m∠YXC because they are vertical angles. We know that:

m∠CXP = 106.02°

So, we can use the linear pair equation to find m∠DXP:

m∠CXD + m∠DXP = 180°

m∠DXP = 180° - m∠CXD

Substituting m∠CXD = m∠YXC, we get:

m∠DXP = 180° - m∠YXC

Now, using the alternate interior angles equation, we can replace m∠CXP with m∠DYX:

m∠DYX = m∠CXP = 106.02°

Finally, we can use the linear pair equation again to find m∠SYD:

m∠DYX + m∠SYD = 180°

m∠SYD = 180° - m∠DYX

m∠SYD = 180° - 106.02°

m∠SYD = 73.98°

Therefore, m∠SYD is 73.98°, i.e., option 1.

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Answer:

[tex]y=\frac{2}{3}x+9[/tex]

Step-by-step explanation:

We can describe a line using the following equation :

[tex]y=ax+b[/tex]

Where ''a'' and ''b'' are real numbers.

In the equation, the number ''a'' is the slope of the line. If we want a line with slope [tex]\frac{2}{3}[/tex] ⇒

[tex]y=\frac{2}{3}x+b[/tex]

The intersection of a line with the y-axis can be calculated replacing [tex]x=0[/tex] in the equation ⇒

[tex]y=(\frac{2}{3}).(0)+b\\y=b[/tex]

The interception is the real number ''b''. We want that interception to be 9

⇒

[tex]y=\frac{2}{3}x+9[/tex] is the equation of the line with slope [tex]\frac{2}{3}[/tex] and that intersects the y-axis at the point [tex](0,9)[/tex]

Answer:

The Form 1099-MISC

Step-by-step explanation:

At the end of the calendar year, the a/p department creates 1099 MISC forms for non-incorporated individuals paid over $600.00

The Form 1099-MISC is an IRS tax return document used to give miscellaneous payments made to non employees like  contractors etc, during the calendar year. This is recorded when at least $600 in services, rents and other payments are made.

Answer:

The answer is D. 1/5 hopefully this helps!

Answer:

C

Step-by-step explanation:

Random sample - choosing a sample so that every member has an equal chance of being chosen (this is the absolute definition of random sampling)

Sample - a portion of a large group is termed as a sample.

Biased sample -  choosing a sample from people who are under 15 years old (biased sampling states that all the members of a group are not included in survey)  

Estimating from a sample - using the responses of a small group to make conclusions about the large group.(estimation means roughly judging something based on some sample )

2576 divided by 3 is equal to 859 with a remainder of 2.

When dividing 2576 by 3, you can divide each digit individually. Start with the first digit, 2. Since 2 is less than 3, you can't divide it evenly, so you move to the next digit. The next digit is 5. With 5, you can divide it evenly by 3, which gives you 1. Now, subtract 3 from 5, which gives you 2. Bring down the next digit, which is 7. The new dividend is 27. Divide 27 by 3, which gives you 9 with no remainder. Finally, bring down the last digit, which is 6. The new dividend is 26. Divide 26 by 3, which gives you 8 with a remainder of 2. So, 2576 divided by 3 is equal to 859 with a remainder of 2.

Answer:

The System of inequality is ,

1. y > 2 x + p

2. y < 2 x + p

Suppose we assign some values to p and q and draw its graph

And, then the inequality sign on both inequalities is reversed

3. y < 2 x + p

4. y > 2 x + p

And , then draw it's graph

it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality.

The system has no solution.

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

edge - 2023 :)

Answer:

-3-6i/5 is the answer it was also correct on the test ! :D