please help me with the question answer it please .

Answer: The additive inverse of −5 is +5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 23. The additive inverse of −5 is −5, so 18 − (−5) = 13.

Step-by-step explanation:

The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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Given :

Three roots , \(\sqrt{7},\ -\sqrt{7},\ -4\) .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

\((x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0\)

Therefore, the cubic function of given zeroes is \(x^3+4x^2-7x-28=0\).

Hence, this is the required solution.

A function can only have an absolute minimum value if it is defined on a closed interval. An open interval does not have an endpoint, so there is no way to know if the function is minimized at either endpoint.

If a function is continuous on an open interval (a, b), then it can have relative minima and maxima. However, it cannot have an absolute minimum value, because there is no way to know if the function is minimized at either endpoint.

For example, the function f(x) = x2 is continuous on the open interval (-1, 1). The function has a relative minimum at x = 0, but it does not have an absolute minimum value. This is because the function continues to decrease as x approaches -1 and 1. Therefore, the statement "If f is continuous on an open interval (a, b), then f does not have an absolute minimum value" is true.

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Given:

Number of people = 6

Cost per person = $52

Let's find the cost per person if the number of people changes to 12.

Given that the number of people is inversely proportional to the cost per person, we have the equation:

Where, k represents the constant of proportionality, y represents the number of people and x represents the cost per person.

Let's find the constant of proportionality k:

The constant of proportionality, k is 312

To find the cost when number of people changes to 12, we have:

Therefore, when the number of people changes to 12, the new cost is $26

ANSWER:

$26

Answer:

1) 26

2) 5

3) 20

Step-by-step explanation:

1. 7 x 3 + 5  Do Multiplication before addition

21 + 5

26

2. 8÷4 + 3 Do division before addition

2 + 3

5

3. 2(12-4) + 4  Do what is in the parentheses first

2(8) + 4  Multiply before you add

16 + 4

20

Answer:

96 square tiles are needed

Step-by-step explanation:

To calculate this, the first thing we need to do is calculate the total area covered by the rectangular wall.

Mathematically, the area of the rectangle = 16 * 24 = 384 ft^2

The next thing we need to do is calculate the area of the square tiles = L^2 = 2^2 = 4 ft^2

the number of square tiles needed = Area of rectangular wall/Area of square tiles = 384/4 = 96

The fraction of the problems that she gets correct is:

during the Ferris wheel ride, 0.6 minutes are spent higher than 9 meters above the ground.

What is Fraction?

Fraction: In mathematics, a fraction is used to express a part/part of a whole. It represents equal parts of a whole. A fraction has two parts namely numerator and denominator. The top number is called the numerator, the bottom number is called the denominator.

To solve this problem, we can break it down into steps:

Step 1: Find the radius of the Ferris wheel.

The diameter of the Ferris wheel is given as 10 meters, and the radius is half of the diameter. So the radius of the Ferris wheel is 10 / 2 = 5 meters.

Step 2: Determine the height of the Ferris wheel when it is at the six o'clock position.

At the six o'clock position, the Ferris wheel is level with the loading platform, which is 3 meters above the ground. Therefore, the height of the Ferris wheel at the six o'clock position is 3 meters.

Step 3: Calculate the total distance traveled by the Ferris wheel in one revolution.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the circumference of the Ferris wheel is C = 2π(5) = 10π meters.

Step 4: Determine the time taken for one revolution.

The problem states that the Ferris wheel completes one full revolution in 6 minutes.

Step 5: Find the distance covered by the Ferris wheel in the vertical direction during one revolution.

The distance covered by the Ferris wheel in the vertical direction during one revolution is equal to its diameter, which is 10 meters.

Step 6: Calculate the time spent higher than 9 meters above the ground.

Since the diameter of the Ferris wheel is 10 meters, the highest point it reaches is 10 meters above the ground. We need to determine the time spent between 9 meters and 10 meters above the ground.

To do this, we calculate the fraction of the total distance covered by the Ferris wheel that corresponds to the distance between 9 meters and 10 meters. The difference between 10 meters and 9 meters is 1 meter. So the fraction of the total distance covered is 1 meter divided by 10 meters, which is 1/10.

Since the Ferris wheel takes 6 minutes to complete one revolution, the time spent higher than 9 meters above the ground is equal to 1/10 of 6 minutes.

Step 7: Perform the calculations.

1/10 of 6 minutes is (1/10) * 6 = 0.6 minutes.

Therefore, during the Ferris wheel ride, 0.6 minutes are spent higher than 9 meters above the ground.

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Required value of angle R is 21°.

What is the relationship between the angle of circumference and angle of centre of circles?

Following is the relationship between angle of an arc on that circle and the angle of the center of a circle,

1)We can say that the angle of an arc is half the angle at the center that it deleted.

2) Or we can say oppositely the angle at the center of a circle is twice the angle of the arc that it subtends.

The measure of an arc is proportional to the measure of the angle it subtends and that the angle at the center of a circle is always twice the angle formed by any two points on the circumference of the circle that are connected to the center This relationship is based on the fact that.

Here, angle of circumference is angle R and angle of centre is angle P.

According to their relationship,

angle P = 2 × angle R

15x+3 = 2 × ( 10x-3)

We are Simplifying,

15x+3 = 20x-6

20x-15x = 3+6

5x = 9

x = 9/5

So, required angle R = 10x + 3 = 10×(9/5)+3 = 21

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The relation R defined on X={1,2,⋯,20} as xRy if x≡y+1 (mod5) is not reflexive, not symmetric, and not transitive. These counter-examples demonstrate the violation of each property: reflexivity, symmetry, and transitivity, respectively.

To show that R is not reflexive, we need to find an element x in X such that x is not related to itself under R. For example, let's take x=1. In this case, 1R1 means 1≡1+1 (mod5), which is not true. Therefore, R is not reflexive.

To demonstrate that R is not symmetric, we need to find elements x and y such that xRy but yRx does not hold. Let's consider x=2 and y=1. We have \(2R_1\) because 2≡1+1 (mod5), but \(1R_2\) is not true since 1 is not congruent to 2+1 (mod5). Hence, R is not symmetric.

Lastly, to prove that R is not transitive, we need to find elements x, y, and z such that if xRy and yRz hold, xRz does not hold. Let's choose x=1, y=2, and z=3. We have \(1R_2\) because 1≡2+1 (mod5) and \(2R_3\) since 2≡3+1 (mod5). However, \(1R_3\) is not true because 1 is not congruent to 3+1 (mod5). Thus, R is not transitive.

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Answer:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

Step-by-step explanation:

Answer:

A, both shapes are quadrilaterals

B, Both shapes should have equal lengths

E, both shapes have parallel opposite sides

Step-by-step explanation: good luck

The velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.

To calculate the velocity of an airplane traveling 4500 miles West over 10 hours, we need to divide the distance traveled by the time taken.

Velocity is defined as the rate at which an object moves in a specific direction, and it is given by the formula:

Velocity = Distance / Time

In this case, the distance traveled by the airplane is 4500 miles West, and the time taken is 10 hours. Let's calculate the velocity:

Velocity = 4500 miles / 10 hours

Dividing 4500 by 10, we find:

Velocity = 450 miles per hour

Therefore, the velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.

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The probability in which the number rolled is a 4 is 2/7.

Probability is a branch of mathematics that studies the results of random events. The chance or potential of a result is referred to as probability. It makes it clear how likely it is that a certain event will occur. We commonly use phrases like "He'll probably pass the test," "There's not much possibility of getting a storm tonight," and "The price of onions will probably go up again." Every instance of chance, uncertainty, likelihood, etc. is replaced with the word probability in these passages.

Probability, in its simplest form, is the capacity to predict a result based on the variety and number of possible outcomes or the examination of previous evidence.

Probability that the man speaks the truth is =P(A)= 2/3

he probability that the man lies is =  P(B)=1−P(A)=(1− 2/3)= 1/3

P (A/B) = {P(B/A)*P(A)} / P(B)

​P (A/B) = { 1/6*2/3} / {  {1/6*2/3}* {5/6*1/3}

​P (A/B) = 2/7

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Answer:

a

Step-by-step explanation:

sum always means only addition :D mark brainliest if right

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

This phenomenon occurs due to the way light interacts with the concave shape of the spoon's bowl. The reflection in the spoon is formed by rays of light bouncing off the curved surface and reaching your eyes, creating an inverted image.

The reason spoons reflect upside down is related to the principles of optics and the behavior of light. When light hits a reflective surface, such as the bowl of a spoon, it follows the law of reflection, which states that the angle of incidence (the angle at which the light ray strikes the surface) is equal to the angle of reflection (the angle at which the light ray bounces off the surface).

In the case of a spoon, the bowl is typically concave, meaning it curves inward. When you look at your reflection in the spoon, the light rays from your face hit the curved surface and bounce off at different angles. Because the concave shape causes the reflected rays to diverge, they do not bounce back parallel to one another.

As a result, the rays of light form an inverted or upside-down image in the spoon's bowl. This inverted image is then perceived by your eyes, leading to the observation that the reflection in the spoon appears upside down compared to your actual orientation. This phenomenon is similar to how an image is formed by a concave mirror, where the curvature of the mirror causes light rays to converge and create an inverted image.

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

whats the question

Step-by-step explanation:

Answer:

What is the question???

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Density equals the mass of the substance divided by its volume; D = m/v. Objects with the same volume but different mass have different densities.

so 10/5=2 so the density =2

at 0.1 level of significance, we can conclude that these data are sufficient to indicate that the mean for population 2 is larger than that for population 1.

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (- 3.7 - 0)/(2.71/√10)

t = - 4.32

We would determine the probability value by using the t test calculator.

p = 0.00097

Since alpha, 0.1 > than the p value, 0.00097, then we would reject the null hypothesis. Therefore, at 0.1 level of significance, we can conclude that these data are sufficient to indicate that the mean for population 2 is larger than that for population 1.

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Answer:

⏬⬇⤵

Step-by-step explanation:

The Fundamental Theorem of Algebra states that the degree of a polynomial is the maximum number of roots the polynomial has. A third-degree equation has, at most, three roots.

So:

1. 3

2. 4

3. 3

4. 0

5. 1

6. 4

Answer:

YEP THAT IS quadratic formula

Step-by-step explanation:

Answer:

its 1.8

Step-by-step explanation:

Answer:

answer is 1271.1 inches

plz mark my answer as brainlist and plzzzz also vote me plz

Answer:

The answer is A. 18.84

Step-by-step explanation:

Hope this helps =)