the population of a small town, P, as a function of time, t, in years past 1940 is given below.

P= 1304 + 300t

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

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Answer:

A.

Step-by-step explanation:

Since the associate property is grouping and since the only that groups the number differently is A.

6(1/3 x 7/5) changes to (6 x 1/3) 7/5

Hope this helps :)

Answer:  \(6 \times 10^6\) which is choice B

==========================================

Method 1

5,846,000 rounds to 6,000,000 aka "6 million".

This converts to the scientific notation \(6 \times 10^6\)

The first 6 is from "6 million", while the 6 as the exponent tells us to move the decimal point that many places to the right to go from 6.0 to 6,000,000

---------------

Method 2

Place a decimal point between the first two digits of 5,846,000 and erase the zeros at the end.

So we get 5.846

We must move the decimal point 6 spaces to the right to go from 5.846 back to 5,846,000 again

Therefore, \(5,846,000 = 5.846 \times 10^6\)

Then the 5.846 rounds to 6.0 or simply 6 when rounding to the nearest whole number. This leads to \(6 \times 10^6\)

If NP and QS are parallel lines and ∠NOM = 130° then the value of ∠POM is 50°.

Parallel lines are two or more lines in a plane that do not intersect, regardless of how far apart they are.

Despite being located at different distances from one another, parallel lines always have the same slope, which is the same steepness and direction.

Since NP and QS are parallel lines, we have:

∠NOM + ∠MOP = 180° (because NOM and MOP are on a straight line)

Also, the alternate interior angles NOM and POM are equal, so:

∠NOM = ∠POM

Substituting this into the first equation gives:

∠POM + ∠MOP = 180°

We can now solve for ∠POM by substituting the given value:

130° + ∠POM = 180°

∠POM = 50°

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Answer:12

Step-by-step explanation:just know i did it and got it right

Answer:

1

Step-by-step explanation:

bc I know

Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)

The domain refers to the set of possible input values.

The domain of a graph consists of all the input values shown on the x-axis.

The range is the set of possible output values, which are shown on the y-axis.

According to the graph ,

The horizontal extent of the graph is starting from -4 and ending on 1

Therefore , the domain of graph is (-4 , 1)

These points are not included in the domain , you can observe the end points of curves is not filled

The vertical extent of graph is starting from 4 and going downwards till -5

so, Range of graph is (4 , -5)

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Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

Answer:

Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.

A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.

Step-by-step explanation:

Answer:

a7 equals 35 +3=38

Step-by-step explanation:

5times7 is 35

u sub 7 for n

Domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}.

In mathematics, the domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce, based on its input values. In other words, the domain is the set of all x-values that the function can take, while the range is the set of all corresponding y-values that the function can take.

The given graph is oriented toward x direction

Domain of function =x≥2

For every value of x the y is always positive

So, range =y≥0

Hence, domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}

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Answer:

5 1/2 and -5 1/2

Step-by-step explanation:

thats just what the arrows point to

Answer:

4k^3 + k^2 - 2k + 7

Step-by-step explanation:

Hope this helps, and good luck

Answer:

It is C

Step-by-step explanation:

The square root of 61 is 7.81024967591 so it is an irrational number.

Answer:

13

Step-by-step explanation:

2(5) = 10, +3 = 13 years old,, just use order of operations and plug in jillians age for the x

Answer:

7

Step-by-step explanation:

2x2 = 4+3=7 so her brother is 7

on solving the provided question, we can say that by equation we Consequently, he will sell 16 automobiles at this price.

A number, a variable, or a mix of both, combined with certain operation symbols, make up an expression. An equal sign is used to denote the separation of two expressions in an equation.

Here,

Given: Number of cars sell in a day = 12

Price of a car =\($23,000\)

For each $300 price reduction dealer can sell two more cars per day.

Solution: Let there be x unit 300 price reduction

2x unit increase in sale of car

\(|R(x)=(15000-300x)(12+2x)\)

Cost

\(|C(x)=1000+12000 (12+2x)\)

Profit

\(|P(x)=(15000-300x)(12+2x)-1000+12000 (12+2x)\\15000(12+2x)–12000 (12+2x)-300x(12+2x)-1000\\=180000-144000+30000x-24000x -3600x -600-1000\\=36000+2400x-600 = P'(x)=-1200x +2400 = P"(x)=-1200\)

For critical points

\(P'(x)=0= -1200x + 2400=0= x=2\)

Since P"(x) <0at x = 2it is max profit 12+2x=12+2(2)=16

16cars per day he will sell

\(Price = 15000-300*16 = $10200\)

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The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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The maximum likelihood estimate of the probability of getting a green light on a single pass through the traffic signal is 0.63.

To find the maximum likelihood estimate of the probability p of a green light on a single pass, we need to consider the observed frequency of green lights in the given data.

1. We are given that the car passed through the traffic signal 100 times and got a green light 63 times.
2. To find the maximum likelihood estimate (MLE) of the probability p of a green light, we need to divide the number of successful green light events (63) by the total number of passes (100).
3. Calculate the MLE: p = 63/100 = 0.63

The maximum likelihood estimate of the probability p of a green light on a single pass is 0.63.

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Answer:

mera bahi mil nhi rha h abhay ko jante h

Answer:

sin(\(\frac{7\pi }{4}\) ) = -\(\frac{\sqrt{2} }{2}\)

Step-by-step explanation:

If cos(theta) = \(\frac{\sqrt{2} }{2}\), then theta should equal \(\frac{\pi }{4}\) or \(\frac{7\pi }{4}\)  since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is \(\frac{7\pi }{4}\) .

So theta should equal \(\frac{7\pi }{4}\) .

Now that we have theta, all you have to do is find the value of sine by plugging it in.

sin(\(\frac{7\pi }{4}\) ) = -\(\frac{\sqrt{2} }{2}\)

The given polynomial has two distinct real zeroes and the real zeroes are; x = -6 and x = 5.

The distinct real zeroes of the polynomial are as follows;

Given; f(x) = (x+6)² (x-5) (x² + 9)

The distinct zeroes are therefore; x = -6, x = 5 and x = ±3i.

Ultimately, since ±3i are complex zeroes; it follows that there are two distinct real zeroes which are; x = -6 and x = 5.

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The first-year profits (to the nearest hundred dollars) is, $26,701.18.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

In its second year of operation, a local Internet provider's profits were $180,500.

And, This amount was 676% of the company's first-year profits.

Now, Let the amount in the first-year profits = x

So, We can formulate;

⇒ 676% of x = 180,500

⇒ 676/100 × x = 180,500

⇒ x = 180500 × 100 / 676

⇒ x = $26,701.18

Thus, The first-year profits (to the nearest hundred dollars) is, $26,701.18.

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The ordered pair which is a solution to every linear equation of the form given is; (0, 0).

It follows from the task content that the ordered pair which satisfies the equation of the form y =Mx be determined.

On this note, since the product of any real number, slope in this scenario and 0 is; 0.

Ultimately, it follows that the required ordered pair is; (0, 0) for any real number value of the slope, m.

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Answer: The answer is  6x^4-4x

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Answer:

48°

Step-by-step explanation:

Given that GK is the diameter of the circle ;

Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)

Diameter =half of the entire circle = 360 /2 = 180

GK = 180°

GK =GR + KR = 180

KR = 132°

180 = GR + 132

GR = 180 - 132

GR = 48°

Answer: the answer would be approximately 7:45 or 8:45

Step-by-step explanation:

the short hand is known for hours and the long hand is known for minutes the long hand is different than the short hand.

the short hands numbers is from 1-12 while the long hand numbers start from 5-60

hope this helps!

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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Using scientific notation, the measure is given as follows:

\(1.9 \times 10^{-10}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

The diameter of a proton, in scientific notation, is given by:

\(1.9 \times 10^{-15}\).

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

\(L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}\)

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

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Answer:

3 = x

Step-by-step explanation:

Well, the two unknown sides share the same size due to the same angle, so now, using the fact we only have the info about one side, we need to do a reverse pythagorean theorem.

\(c^{2} = a^{2} + b^{2}\)

Our a and b are the same, so I will change them to "x" and combine them.

\(c^{2} = 2(x)^{2}\)

Now we plug in our "c" and square it ("C" in this case is: \(3\sqrt{2}\) )

\(18 = 2(x)^{2}\)

\(9 = x^{2}\)

3 = x