max and orlena bought 23 acres of land for $110,400. they bought some of the acres at $4000 per acre and some at $6300 per acre. how many acres did they buy at each price?

Answer:

- 0.5 ≤ x ≤ 3.5

Step-by-step explanation:

since both ends of the interval are closed circles. This indicates that x can equal both - 0.5 and 3.5 and the values between , then

- 0.5 ≤ x ≤ 3.5

The inequality shown on the number line is -0.5 ≤ x ≤ 3.5.

Given is a number line where a value starts from -0.5 and end at 3.5, we need to write down the inequality shown on the number line,

To write down the inequality shown on the number line starting from -0.5 and ending at 3.5, we need to determine the range of values represented by the line segment.

The left endpoint of the line segment is -0.5, which means the value represented by that point is greater than or equal to -0.5.

We can express this as:

x ≥ -0.5

The right endpoint of the line segment is 3.5, which means the value represented by that point is less than or equal to 3.5.

We can express this as:

x ≤ 3.5

Combining these two inequalities, we have:

-0.5 ≤ x ≤ 3.5

This inequality represents all the values on the number line between -0.5 and 3.5, inclusive.

Hence the required inequality is -0.5 ≤ x ≤ 3.5.

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Using population growth modeling it is concluded that the population of insects after 1 hour will be about 1.05 times.

The method used to calculate the growth and decay of insects or bacteria are called growth and decay modeling.

Let us assume n₀ is the initial population, then the total population n(t) after t time is given by the formula:

n(t) = n₀ [tex]e^{rt}[/tex], where r = the relative rate of growth.

Suppose an initial number of insects is x and after 15 hours it becomes 2x.

2x = x[tex]e^{15r}[/tex]

[tex]e^{15r}[/tex] = 2

Take the log of both sides of the equation

ln [tex]e^{15r}[/tex]= ln 2

15r = ln 2

r = 0.693147/15

Now, population after 1-hour = x [tex]e^{r}[/tex]

= 1.047

≈ 1.05

Hence the population of insects after 1 hour will be about 1.05 times.

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[tex]\displaystyle \boxed{\text{First Attachment, 14}}[/tex]

Answer:

x = 30

y = 60

Step-by-step explanation:

      First, vertical angles are congruent. This helps us fill in more of the angles so we can find x and y.

      Next, supplementary angles add up to 180°, aka a line. We can use this to fill out even more of the diagram given.

      Lastly, corresponding angles on parallel lines are congruent.

      By using the information above, we can decide that x = 30 and y = 60. See the first attachment for all the angle values filled out.

[tex]\displaystyle \boxed{\text{Second Attachment, 12}}[/tex]

Answer:

x = 65

Step-by-step explanation:

      From the above explanation, we will be using vertical angles and supplementary angles to solve this question. See the second attachment.

      We also know there are 180 degrees in a triangle.

      Lastly, we know that alternate interior angles are congruent.

      Using this knowledge, we can decide that x = 65.

[tex]\displaystyle \boxed{\text{Third Attachment, 13}}[/tex]

Answer:

x = 30

Step-by-step explanation:

      Again, we will be using vertical angles, supplementary angles, and corresponding angles to solve this question. See the third attachment.

      After placing vertical angles down from the given information, we can fill in more using corresponding angles.

      Lastly, we know there are 360 degrees in a circle. We can create an equation from this and solve.

      Using this information, we can decide that x = 30.

In the expression, 8 + x squared minus 4 x cubed + 5 x + 2 x squared.

2x^2 and x^2 are the like terms

The given expression is 8 + x squared minus 4 x cubed + 5 x + 2 x squared

This is rewritten as

8 + x^2 - 4x^3 + 5x + 2x^2

The terms in the expression are grouped as

constant terms: 8

terms with x variable : 5x

terms with x^2 variables: 2x^2 and x^2

terms with x^3 variables: 4x^3

Like terms refers to terms that are similar either as a constants or have same variables

Hence the like terms in the expression is 2x^2 and x^2

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Answer:

See below

Step-by-step explanation:

Amount = 100 (1/2)^x

after 3 days

    amount = 100 ( 1/2)^3 = 12.5 gm left

The Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.

The distance between Jose's house and school is 1.85 miles.

The school is 2.34 miles from the nearest library, which is 1.91 miles away from Jose's house.

Total distance = Jose’s home to school + school to library

Total distance = 1.85 + 2.34

Total distance =  4.19 miles.

Thus, the Jose travels as he travels from his home to school, through school to the library, then finally back home is 4.19 miles.

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Step-by-step explanation:

s = 17b

when b  =2:

s = 17b

s = 17(2)

s = 34

when b = 4

s = 17b

s = 17(4)

s = 68

Answer:

x=21, m<s=95

Step-by-step explanation:

85+5x-10=180

75+5x=180

5x=105

x=21

m<S= 5(21)-10

m<S= 105-10

m<s=95

m∠C > m∠A > m∠B is correct regarding the angles of the triangle ABC.

What is the angle of the triangle?

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°.

Here, we have

In Δ ABC, the side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

AB=4p-1 , AC=p+4 , BC=3p

where p+4 < 3p        [as p≥3]

3p < 4p-1          [as p≥3]

⇒  4p-1> 3p > p+4

⇒AB > BC > AC

Angle opposite to AB, BC, and AC is m∠C,m∠A, and m∠B.

m∠C > m∠B > m∠A    [∵Angle opposite to greater side is greater]

Hence, mC > mA > m∠B is correct regarding the angles of the triangle ABC.

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The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Option B, x = -5 is correct answer, x = -5 is the counter example to the student's conjecture.

What is inequality?

A mathematical phrase in which the sides are not equal is referred to as being inequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given inequality in the question is:

x +5 < x²

We will check each option given I question by putting value of x,

putting x = -1/5

x + 5 < x²

-1/5 + 5 < (-1/5)²

24/5 < 1/25

4.8 < 0.04

This is wrong inequality , Therefore, x is not equal to -1/5

putting x = -5

x + 5 < x²

-5 + 5 < (-5)²

0 < 25

This is satisfying the inequality ,

Therefore, x is equal to -5

Hence, correct answer is x = -5

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The distance between the x-intercepts of these two line is 10 units.

Given that,

These two lines' x-intercepts are separated by 10 units.

Equation of the line with slope 2 is

y-30/x-40 = 2

For x intercept put y = 0,

then

-30/x-40 =2

x =25

Equation of the line with slope 6 is

y-30/x-40 =6

For x intercept put y = 0,

then

-30/x-40 =6

x =35

Distance between x-intercepts of these two lines is difference of the two intercepts i.e,

D = 35-25 = 10.

Thus, the distance between the x-intercepts of these two line is 10 units.

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Answer:

A right-angled triangle

Step-by-step explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.

Answer: 1.01% sale tax.

Step-by-step explanation:

First you must take your tax price before and the tax price after and divide them. This gets you 1.01.

To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)

Hope that helped in some way :)

The proportional relationship that gives the cost of x pounds of rice is given as follows:

y = 3x.

A proportional relationship is a special case of a linear function, with slope represented by k and intercept of 0, hence the output variable y is obtained with the multiplication of the input variable x and the slope k, as follows:

y = kx.

In this problem, the input and the output are given as follows:

You can buy 3 pounds of rice for 9 dollars use, hence the constant representing the cost per pound is given as follows:

k = 9/3 = 3.

Hence the equation is:

y = 3x.

This problem is incomplete but we suppose that it asks for a proportional relationship giving the cost of x pounds of rice.

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Answer:

x=-6

Step-by-step explanation:

-18x=108

/-18. /-18

x=-6

Hopes this helps please mark brainliest

Divide both sides by −18.

Divide 108 by −18 to get −6.

By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

Given,

In the question:

To solve the equation:

x² + 5x - 14 = 0

Now, According to the question:

x² + 5x - 14 = 0

Split the middle term into two terms :

x² - 2x + 7x  - 14 = 0

Factor the first two terms and the last two terms separately

x(x - 2) + 7 (x -2) = 0

Factor out

(x - 2) (x + 7) = 0

Apply Zero Product Property

x - 2 = 0 or x + 7 = 0

x = 2 or x = -7

Hence, By solving  the equation  x² + 5x - 14 = 0 get the value of x is 2 or -7.

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Answer:

Step-by-step explanation:

1. Divide by -2 and thus flip the inequality

2. (n-5.5)<21/-2

3. Add 5.5 to both sides

4. n<-5

5.Check by plugging in any number less than -5 and see if the inequality is true

6. Example: plug in -10

Is -2(-10-5.5)>21?

Yes

31>21 your solution is n<-5

On solving the linear inequality −2(n − 5.5) > 21 for n, we get n < -5.

Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'.

Given in the question,

-2(n - 5.5) > 21

Solving the inequality,

-2n + 11 > 21

-2n > 21 - 11

-2n > 10

-n > 5

n < -5

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Answer: 60mL per minute

Step-by-step explanation:

300/5=60

Can I please get brainly?

The amount of water after x minutes is equal in both pools.

What is a Linear equation in one variable?

A univariate linear equation is an equation of the form ax + b = 0, where a and b are two integers, x is a variable, and there is only one solution.

For example, 2x+3=8 is a linear equation in one variable.

The given equation is 5000 - 50x = 4800 - 30x.

solving for 'x',

                        5000 - 50x = 4800 - 30x

                        5000 - 4800 = 50x - 30x

                        200 = 20x

                        x = 200/20

                        x = 10

The amount of water after 10 minutes in Pool A will be = 5000 - 50(10)

                                                                                           = 5000 - 500                                                                                                                                              

                                                                                           = 450 liters

The amount of water after 10 minutes in Pool B will be = 4800 - 30(10)

                                                                                           = 4800 - 300                                                                                                                                              

                                                                                           = 450 liters.

Hence, the amount of water will be the same in both pools.

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The domain of the inequality is from zero to negative infinity

The domain refers to the values in the input of a function, these values are in the x direction.

The domain says the extents the values of the input is therefore no all the input values must be in the domain

Examining the graph shows that the graph reached the point x = 0 and returned with an arrow.

The arrow means that the values continued limitlessly, such limitless values are represented by infinity with symbol ∞.

The infinity is in the negative direction

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The change in the amount of seed in the feeder after 7 days is 78.75 ounces.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one.

For example, if you ran 80 meters in 10 seconds, you ran on average 8 meters in 1 second

To find the rate at which the amount of seed decreases.

11 1/4 ounces = 5 days

Dividing both sides of the equation by 5.

11 1/4 ounces = 1 day

Multiplying 7 on both sides to get the number for 7 days

7 x 11.25 ounces = 7 days

78.75 ounces  = 7 days

If the amount of seed in a bird feeder decreases by 11 1/4 ounces in 5 days, the amount of seed decreases by 78.75 ounces.

The change in the amount of seed in the feeder in 7 days is 78.75 ounces.

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Answer:

I+P=A

Step-by-step explanation:

isolate a on 1 side

I=A—P

+P. +P

I+P=A

Hopes this helps please mark brainliest

Answer:

A=P+I

Step-by-step explanation:

make A the subject of formula

giving A= P+I

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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Option B is the correct answer, the interval in which the graph of the function is positive is -∞ < x < -1.

What do mean by interval?

In mathematics, a (real) interval is a collection of real numbers that includes all real numbers that fall inside any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The set of all real numbers, the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton are additional examples of intervals.

As we can see in the graph provided in the question, the graph of function reach the positive side of the y-axis at x = -1, it means one of the two end point of the interval is going to be -1. And, the graph is constantly and slowing increasing it's value as increase in the x-axis therefore, the other endpoint of the interval cab be considered as negative infinity.

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24.15 as two significant figures is 24.

All significant figures are those that enhance the overall worth of the number's meaning. Numbers are frequently rounded to avoid repeating quantities that are not significant. When rounding, one must be careful not to lose precision. Sometimes the purpose of rounding numbers is simply to make them simpler.

Use the following guidelines to decide which numbers are important and which are not:

1) A decimal number less than 1 is not affected by the zero to the left of it.

2) The placeholders for all trailing zeros are all insignificant.

3. There should be significance between non-zero numbers.

4) Every non-zero number has meaning.

5) A number is rounded if it has more digits than the necessary number of significant ones. For instance, 432,500 is rounded up to 433,000 to three significant digits using the half-up (regular) method.

6) Zeros at the end of numbers that are not important but are left in because eliminating them would change the number's value. The 000 in 433,000 in the example above cannot be removed without converting the number to scientific notation.

Given the number, 24.15

We have to convert it to two significant figures, so we will consider the only two figures before the decimal point. So, the number up to two significant figures is 24.

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Answer:

2:1

Step-by-step explanation:

.5 kg : 250g

the units must be same at both sides

500g : 250g

{as 1 kg = 1000g}

by simplifying both sides

10g : 5g

2g : 1g

2:1

Answer:

the fourth one is the right one