Can some help me!!!! Answers only no explanation

To find the average rate of change of a function over an interval, we need to calculate the slope of the secant line connecting the points on the function at the two endpoints of the interval.

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. In the case of a secant line, we can calculate the slope by using the formula:

m = (y2 - y1) / (x2 - x1)

For the function y = x^2 + 4x - 1, we can plug in the values of x and y at the two endpoints of the interval, (-4 and 1), to find the slope of the secant line:

m = [(1)^2 + 4(1) - 1] - [(-4)^2 + 4(-4) - 1] / (1 - (-4))

Simplifying this expression, we get:

m = (1 + 4 - 1) - (16 + 16 - 1) / (-3)

This simplifies to:

m = -20 / -3

Therefore, the average rate of change of the function y = x^2 + 4x - 1 over the interval -4 ≤ x ≤ 1 is 6.5.

Based on the fact that the chance of having a boy or a girl is 50%, the probability of the Smiths having two girls is 25%.

When you are faced with two independent events happening one after the other, the way to find their probability is:

= Probability of first event x Probability of second event

The probability of the Smiths getting two girls is therefore:

= 50% x 50%

= 25%

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A better, less biased question would be: "Should companies that provide diesel engines be responsible for any costs of purifying air quality?"

The question, "Should companies that provide diesel fuel engines that pollute the environment pay a tax on each engine to help in the cost of cleaning the air?" is biased due to the use of the word "pollute."

A better, less biased question would be: "Should companies that provide diesel engines be responsible for any costs of purifying air quality?"

This question removes the negative connotation associated with the word "pollute" and focuses on the responsibility of companies to contribute to air quality improvement.

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A better, less biased question would be: "Should companies that provide diesel engines be responsible for any costs of purifying air quality?"

The question, "Should companies that provide diesel fuel engines that pollute the environment pay a tax on each engine to help in the cost of cleaning the air?" is biased due to the use of the word "pollute."

A better, less biased question would be: "Should companies that provide diesel engines be responsible for any costs of purifying air quality?"

This question removes the negative connotation associated with the word "pollute" and focuses on the responsibility of companies to contribute to air quality improvement.

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Answer:

Your answer is <, Hope it helps.

Using the box-and-whisker plot, it is found that the median of the data-set is given by:

B. 87.

A box and whisker plot shows three things:

In this plot, we have that:

Hence option B is correct.

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Answer:

B) 87

Step-by-step explanation:

Hope it helps!

Answer:

35/4

Step-by-step explanation:

28/4=7

7×5/4

=8.75

=35/4

Answer:

The region of the \(|x|<5\) is the common area between -5 and 5.

But there is no common area for the solution of \(|x|>5\).

Step-by-step explanation:

Given two modulus functions:

\(1.\ |x|<5\\2.\ |x|>5\)

Let us have a look at the definition of modulus function first:

\(|x|=\left \{ {-{x}\ if\ x<0 \atop {x}\ if\ x>0} \right.\)

Now, solving the above given modulus functions one by one using the definition of modulus function.

Solution 1 :

\(\pm x <5\\\Rightarrow x<5, -x<5\\OR\\\Rightarrow x<5, x>-5\)

Kindly refer to the attached diagram for solution.

The area shaded in the green color shows the solution for this equation.

Solution 2 :

\(\pm x >5\\\Rightarrow x>5, -x>5\\OR\\\Rightarrow x>5, x<-5\)

Kindly refer to the attached diagram for solution.

The area shaded in the blue color shows the solution for this equation.

We can clearly observe that the region of the first equation is the common area between -5 and 5.

But there is no common area for the solution of the second equation.

Therefore, solution of \(|x|<5\) has intersection and

solution of \(|x|>5\) has union.

Answer:

The solution of |x|<5 is the set of numbers that makes both of two inequalities true. The solution of |x|>5 is the set of numbers that makes either of two inequalities true.

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The expression of the composite function is (d) 192 - 24t

From the question, we have the following parameters that can be used in our computation:

B(t) = 2(8 - t)

M(n) = 12n

To calculate the required function, we make use of

M(B(t))

Substitute the known values in the above equation, so, we have the following representation

M(t) = 12 * 2(8 - t)

So, we have

B(t) = 192 - 24t

Hence, the expression is (d) 192 - 24t

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Answer:

$12

Step-by-step explanation:

Answer:

4x + 15

Step-by-step explanation:

1. Add the numbers

4x + 2(2 + 5) + 1

4x + 2(7) + 1

2. Multiply the numbers

4x + 2(7) + 1

4x + 14 + 1

3. Add the numbers

4x + 14 + 1

4x + 15

Solution:

4x + 15

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Parental phenotypes: iai is type A blood and ibi is type B blood.

The Punnett square:

 |  i   a   i   b

--|---------------

i | ii  ia  ii  ib

a | ai  aa  ai  ab

Possible offspring phenotypes: type A, type B, type AB, type O.

Parental phenotypes: iai is type A blood.

The Punnett square:

 |  i   a

--|-------

i | ii  ia

a | ai  aa

Possible offspring phenotypes: type A and type O.

Parental phenotypes: iaia is type A blood and ibib is type B blood.

The Punnett square:

 |  i   a

--|-------

i | ii  ia

a | ia  aa

Possible offspring phenotypes: type A, type B, and type AB.

Parental phenotypes: iaib is type AB blood and ii is type O blood.

The Punnett square:

--|-------

i | ia  ib

i | ia  ib

Possible offspring phenotypes: type A, type B, and type AB.

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Answer:

2x = -y

Step-by-step explanation:

Answer:

D.  18,000(0.97)^x

First, let's look at everything we know from reading the question.

We know that y = the population

We know that x = the number of years

We know the population starts at 18,000

We know the population is decreasing at a rate of 3% each year

Since the population is decreasing by 3%, the population will be 0.97 times the previous population each year.

This is because 100 - 3 = 97

That means we can make part of the equation.

y = 18,000(0.97)

Now, do we do 0.97^x or 0.97x?

Well, if we did 0.97x, it would look something like this

If x = 2

0.97(2) = 1.94

That means that, by 2 years, the population would be increasing when it should be decreasing

Now let's try 0.97^x

if x = 2

0.97^2 = 0.9409

That makes sense because the population would be decreasing by a slightly larger amount each time.

So, our final equation is

D.  18,000(0.97)^x

Lets check

\(\\ \rm\longmapsto P(1-r)^t\)

\(\\ \rm\longmapsto P(1-0.03)^t\)

\(\\ \rm\longmapsto 18000(0.97)^t\)

Answer:

The answer is that the ball was in the air for 0.56 seconds when it was 54 feet above the ground. This was determined by using the Quadratic Formula to solve the equation 54 = -16s^2 + 96s for the variable s.

Step-by-step explanation:

To solve this equation, we can use the Quadratic Formula, which states that for a quadratic equation in the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 96, and c = -54. Plugging these values into the Quadratic Formula, we get:

s = (-96 +/- sqrt(96^2 - 4 * -16 * -54)) / (2 * -16)

= (96 +/- sqrt(9216 + 4352)) / -32

= (96 +/- sqrt(13,568)) / -32

Since we want the time (in seconds) that the ball was in the air, we need to find the positive solution to this equation. Thus, we have:

s = (96 + sqrt(13,568)) / -32

= (96 + 120) / -32

= 0.5625 seconds

Rounding this value to the nearest hundredth of a second, we get 0.56 seconds. This means that the ball was in the air for 0.56 seconds when it was 54 feet above the ground.

To solve this equation, we used the Quadratic Formula. This method allowed us to find the time (in seconds) that the ball was in the air by solving for the value of the variable s in the given equation. This helped Vue answer his question by providing a numerical value for the amount of time that the ball was in the air when it was 54 feet above the ground.

The ∠DAB + 2∠ABC = 180∠DAB + ∠ABC = 90This proves that the consecutive angles of a parallelogram are supplementary.

A parallelogram is a four-sided geometric shape with two pairs of parallel sides.

The opposite angles of the parallelogram are equal, and the consecutive angles are supplementary. Here's how we can prove that the consecutive angles of a parallelogram are supplementary:

Let's assume we have a parallelogram ABCD where AB is parallel to CD and AD is parallel to BC. Let's assume that ∠DAB and ∠ABC are consecutive angles.

∠DAB + ∠ABC = ∠BAD (The sum of the angles in triangle ABD)Also, ∠BAD + ∠BCD = 180 (The sum of the angles in triangle BCD)

Therefore, ∠DAB + ∠ABC + ∠BCD = 180Since AB is parallel to CD, we know that ∠ABC and ∠BCD are equal.

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Using the first index law, the solution provided indicates that this has a value of 1.

X to the power of A multiplied by X to a power of B results in X to the power of A + B, according to the first law of indices. Keep in mind that adding the indices when multiplying terms with them means that the base must remain constant throughout.

A topological invariant of a certain class of differential operations on a manifold is studied in index theory, as well as the invariant's local formula in terms of the manifold's geometry. inspirational cases. operator elliptic The index theorem by Atiyah-Singer.

(m³)⁶/m¹⁸ = m³ˣ⁸/m¹⁸

= m¹⁸/m¹⁸

= 1

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Permutation relates to the act of arranging all the members of a set into some sequence or order. Combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

The formulas to calculate the permutation of choosing r things from a set of n things is given to be:

The formula for calculating the combination choice of r things from a set of n things without replacement and where order does not matter is given to be:

An example of permutation is arranging people, digits, numbers, alphabets, letters, and colors. An example of combination is the selection of menu, food, clothes, subjects, and team.

Answer:

210*pi

Step-by-step explanation:

Surface area=2*pi*r*(r+h)

=2*pi*5*(21)=210*pi

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

Answer:

50% decrease

Step-by-step explanation:

it would be a 50% decrease because half of 8 is 4 and 1/2 is 50 %.

Answer:

5 and 2/10

Step-by-step explanation:

You have to have a common denominator

Answer:

   B.  (10, 10, 0)

Step-by-step explanation:

Each component of the sum is the sum of corresponding components:

  r + v = (7, 3, 9) +(3, 7, -9) = (7+3, 3+7, 9-9) = (10, 10, 0)

Answer:

33

Step-by-step explanation:

43-10=33 sarah has 33 bananas ledt