Question 2 (2 points)

y=5575.(0.65)t

a. What is the initial value?

b. What is the decay factor?

Blank 1:

Blank 2:

Answer:

APart 1:

A.53 =53

B.3^5/3^-6 =177147

C.(1/4)^3 • (1/4)^2 = 1 /1024

D.(-7)^5/(-7)^7 = 1/49

Step-by-step explanation:

I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1

Answer:

using hyp²=opp²+adj²

x²=21²+20²

x²=441+400

x²=841

x =/841

x=29

Answer:

It's 29 ft. Hope the picture will help you understand better.

Answer:

  2

Step-by-step explanation:

The average rate of change from x=a to x=b is found from ...

  m = (f(b) -f(a))/(b -a)

For the points (x, f(x)) = (2, -3) and (3, -1), the average rate of change from x=2 to x=3 is ...

  m = (-1 -(-3))/(3 -2) = 2/1 = 2

The average rate of change on the interval is 2.

Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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Answer:

C) RC',180° rm

Step-by-step explanation:

Answer: the last option is the correct answer

Step-by-step explanation:

Answer:

Common Types of Variables. Categorical variable: variables than can be put into categories. ... Confounding variable: extra variables that have a hidden effect on your experimental results. Continuous variable: a variable with infinite number of values, like “time” or “weight”.

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer:

can you plz help me find trenton aka trent

Step-by-step explanation:

For solving the inequalities, there are more than four steps.

The step to solve given inequalities, the first step is to add the same number to both sides, the second step is to  Subtract the same number from both sides and the third step is to  Multiply both sides by the same positive number, and the fourth step is to  Divide both sides by the same positive number, and the fifth step is to Multiply both sides by the same negative number and reverse the sign and the last step is to Divide both sides by the same negative number and reverse the sign. Out of which steps 2,3,4 and 5 are the most important steps.

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Answer:

The following statements are true:

• The square root of a positive number less than 1 is between 0 and 1.

• The square root of a perfect square is a whole number.

Answer:

B, C, and D

Step-by-step explanation:

They have an either a less than sign ( < ) or a greater than sign ( > ).

Answer:

4.7 :)

Step-by-step explanation:

Answer:

1331:216

Step-by-step explanation:

Given the ratio of the lengths of two similar solids as a:b

The ratio of the surface areas = \(a^2:b^2\)

The ratio of the volume = \(a^3:b^3\)

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

\(a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6\)

Since the ratio of the lengths is 11:6

The ratio of their volumes = \(11^3:6^3\)

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.

the answer is A. fggggggggtggg

There are 37 numbers from 1 to 37, inclusive.

The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

How to find and what is probability?

To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.

Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.

Therefore, the probability of choosing a number that is a multiple of 3 is:

P(multiple of 3) = number of multiples of 3 / total number of numbers

P(multiple of 3) = 12/37

So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

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Answer:

-1

Step-by-step explanation:

The number which should come to the left after -3/4 is -4/4 & that is -1.

Answer:

1) You think of G(x) as x, so you plug it in. So, f(x) = \(-2^{2}\) - 2, which is 4 - 2, which is 2.

3) Y = 1

I think, I'm not 100% sure--

Answer: Forgot to divide at the end

Step-by-step explanation:

To figure out your friend's error, solve the equation yourself.

When we do this, we realize adding 3 would make it 33. This shows that the friend likely forgot to divide by 25 to completely isolate x, and stopped at that step.

Answer:

X=8

Step-by-step explanation:

Given that the Area is 36ft^2, and the formula for calculating the area of a triange is:

\(a_{t} =h_{b}b/2\)

we have:

\(36 = \frac{(x+1)*x}{2}\)

we can start solving for x through the quadratic formula, but that will take long.

Instead, we can try replacing x by some numbers.

\(36*2=(x+1)*x\)

\(72=(x+1)*x\)

After a while,

\(72=(8+1)8\\\\72=9*8\\\\72=72.\)

We find that x=8.

IMPORTANT: X can also be -9 in this case. But a negative measurement doesn't make sense in this context, I would say that x=8 in this problem.

A three-line horizontal arrangement of a flag can be made in five different ways.

A flag can be represented in various ways. To determine how many ways three lines can be arranged horizontally on a flag, we must first recognize that a flag is a rectangle. The three lines can be arranged horizontally in two ways.Let's try to comprehend it.

If the lines are arranged horizontally, they can either be equally spaced apart or unevenly spaced apart. There are only two ways to accomplish this:Equally spaced apart: If the lines are spaced equally apart, it means there are two spaces between them. The two lines create three spaces that are equal to one another.

So, there are two lines in a rectangle and three spaces, each of which is the same size. The number of different ways to arrange the lines is therefore 3.Unevenly spaced apart: If the lines are spaced unevenly apart, there is one tiny space and one larger space between them.

The number of distinct ways to place the lines in the larger space is the number of places to put a single line (2) multiplied by the number of ways to put the other two lines in the tiny space. So, in total, there are 2*1=2 ways.The total number of different ways to arrange three horizontal lines on a flag is therefore 3 + 2 = 5.

Therefore, the answer to the question is 5.A three-line horizontal arrangement of a flag can be made in five different ways.

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Answer:

mass is 58kg

Step-by-step explanation:

Answer:

is the t for ten or were you trying to type 5

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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The HR administrator must collect a sample size of 108 employees to be accurate within 0.09 at the 95% confidence interval.

To determine the necessary sample size, we need to use the formula:

\(n = \frac{(z^2 )(p) (1-p)}{E^2}\)

Where:
- n = sample size
- z = the z-score for the desired level of confidence (in this case, 1.96 for 95%)
- p = the estimated proportion of employees using the benefit (since we have no preliminary notion, we will use 0.5 as the most conservative estimate)
- E = the desired margin of error (0.09)

Plugging in these values, we get:

\(n = \frac{(1.96^2 )(0.5) (1-0.5)}{0.09^2}\)
n = 107.92 = 108

We round up to the next whole number since we can't have a fraction of a person in our sample.

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Answer: 6cm por 3 cm.

Step-by-step explanation:

Si el ratio es 1:20 esto significa que las dimensiones de  el verdadero televisor es 20 veces las dimensiones del dibujado.

Entonces, si las dimensiones del televisor son 1.20 mts por 0.6 mts, las dimensiones del televisor dibujado son:

1.20mts/20 = 0.06 m

0.6mts/20 = 0.03 m

y sabemos que 1m = 100cm

entonces las dimensiones del dibujo son 0.06m por 0.03cm o 6cm por 3cm.

Answer: 750/500,000

Step-by-step explanation:

you get this because:

the company is giving out 750 hats and there are 500,000 people so you divided those numbers

The type of function that fits the given description is D. Exponential decay.

In an arithmetic sequence, the difference between consecutive terms remains constant. If the y-values of a function form an arithmetic sequence that decreases in value, it means that the difference between consecutive terms is negative.
Exponential decay functions exhibit a constant ratio between consecutive terms, resulting in a decreasing sequence. As the x-values increase, the y-values decrease at a consistent rate. This is represented by the formula y = ab^x, where b is a constant between 0 and 1.
In contrast, linear functions have a constant difference between consecutive terms, resulting in an arithmetic sequence. However, since the y-values are decreasing, the function cannot be linear.
Exponential growth functions, on the other hand, have a constant ratio between consecutive terms, but they result in an increasing sequence. The y-values of an exponential growth function increase as the x-values increase.

Therefore, based on the given information, the most appropriate type of function is D. Exponential decay.

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Answer: y < -4

Step-by-step explanation:

SOLUTION

The triangle in the picture has two sides to be equal. This means that the triangle is an isosceles triangle.

The base angles of an isosceles triangle are equal.

This implies that angle C = B = 49 degrees

So both angles B and C are 49 degrees each.

Now let's find angle A

A + B + C = 180 degrees (sum of angles in a triangle)

Then

The line bisects angle A into two equal triangles, that is angle y and the angle at the other side

This means that

Now let's find x.

Angles x, y, and B make up a triangle. This means that

Therefore, x = 90, and y = 41