I need help with something maybe if I can send a picture of it it will be easier​

After 2.57 hours, the distance between Steve and Elsie will be 25 miles.

So, let t (hours) represent the amount of time Elsie needs to travel before they are 25 miles apart.

Steve takes longer because he is 2 hours earlier, so his time is t + 2.

So, according to the formula the distance between Steve and Elsie will be:

Solve for t as follows:

\(\begin{aligned}&(2(t+2))^2+(2.5 t)^2=25^2=625 \\&4(t+2)^2+6.25 t^2=625 \\&4\left(t^2+4 t+4\right)+6.25 t^2=625 \\&10.25 t^2+16 t-609=0 \\&t=\frac{-b \pm \sqrt{t^2-4 a x}}{2 a} \\&t=\frac{-16 \pm \sqrt{(16)^2-4 *(10.25) *(-109)}}{2 *(10.25)} \\&t=\frac{-16 \pm 68.74}{20.5}\end{aligned}\)

So, t = 2.57 or t = -4.13.

Therefore, after 2.57 hours, the distance between Steve and Elsie will be 25 miles.

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The correct question is given below:

Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 miles per hour. Elsie sleeps in and starts walking west at 2.5 miles per hour starting at 10 AM. When will the distance between them be 25 miles?

Answer:

576

Step-by-step explanation:

5 + 3 = 8

5 - 2 = 3

8 x 3 = 24

24 to the second power is 576

Answer:

27x+5

Step-by-step explanation:

5+3x(5-2)^2

5+3x(3)^2

5+3x*9

5+27x

27x+5

Answer:

x can be all real positive numbers besides 1.

Step-by-step explanation:

10x + 5 ≥ 25

10x ≥ 25 - 5

10x ≥ 20

10x/10 ≥ 20/10

x ≥ 2

Since x is larger than or equal to 2, it can be any number besides 1 and all negative numbers. It can still be 2 because it says larger than or equal to.

Ans: x can be all real positive numbers besides 1.

Hope it helps :)

Hey there! :)

Answer:

(5, -2), or x = 5 and y = -2.

Step-by-step explanation:

We can solve the two equations algebraically by eliminating a variable:

2x + 5y = 0

3x - 4y = 23

Eliminate the x variable by finding the least common multiple and multiplying both equations:

3(2x + 5y = 0)

2(3x - 4y = 23)

Distribute and subtract the bottom equation from the top:

6x + 15y = 0

6x - 8y = 46

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

0x + 23y = -46

23y = -46

y = -2.

Plug in y into an equation to solve for x:

2x + 5(-2) = 0

2x - 10 = 0

2x = 10

x = 5. Therefore:

The solution to this equation is (5, -2), or x = 5 and y = -2.

Answer:

x = 5; y = -2

Step-by-step explanation:

2x + 5y = 0

3x - 4y = 23

Let's eliminate y. Multiply the first equation by 4. Multiply the second equation by 5. Then add them.

         8x + 20y = 0

(+)      15x - 20y = 115

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

          23x         = 115

x = 5

Now we substitute 5 for x in the first equation and solve for y.

2(5) + 5y = 0

5y = -10

y = -2

Solution: x = 5; y = -2

Answer:

b≤2

Step-by-step explanation:

2+4b≤10

Subtract 2 from each side

2-2+4b≤10-2

4b≤8

Divide each side by 4

4b/4≤8/4

b≤2

Answer:

3! = 3*2*1 = 6

Step-by-step explanation:

! is factorial meaning that you multiply that number by all of the number below it

9! = 9*8*7*6*5*4*3*2*1

1011 = 1011*1010*1009*1008...3*2*1

The set of real numbers includes both rational and irrational numbers.


1. Real numbers: Real numbers include all rational and irrational numbers. They can be represented on a number line and are not limited to whole numbers or integers.

2. Rational numbers: Rational numbers are numbers that can be expressed as a fraction or a ratio of two integers. They can be written in the form a/b, where a and b are integers and b is not equal to 0. For example, 3/4, -2/5, and 0.6 are all rational numbers.

3. Irrational numbers: Irrational numbers are numbers that cannot be expressed as a fraction or a ratio of two integers. They cannot be written in the form a/b. Examples of irrational numbers include √2, π (pi), and e.

Therefore, the set of real numbers includes both rational and irrational numbers.

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Answer:

B. SSS

Step-by-step explanation:

The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.

Geometric series is convergent if the |r|<1 where r is the common ratio.

Let Sn=∑ni=0(−3/4)i then

Sn=(−3/4)n+1−1(−3/4)−1

Now take n→∞ then

Sn→0−1(−3/4)−1=4/7

because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is

lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.

Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.

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Answer:

I'll go with the last option. c=√Em

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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i would say its the first one

Answer:

c: 8

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

Step-by-step explanation:

a:b = 8:5

a = 8x, b= 5x

a+b = 91

13x = 91

x = 7

a=8x = 56

b = 5x = 35

The larger number is 56

$8000+5.75% =$84600

1. The base pay Carter makes regardless of computer sales is $100

2. The linear relationship that shows the sales will be P = 100 + 10x

From the information given, Carter is a salesperson who sells computers at an electronics store and he makes a base pay amount each day and then is paid a commission for every computer sale he makes.

The starting salary is $100. This is the base pay.

The commission given is $10 per good sold. Therefore, the expression will be:

= 100 + 10x

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Answer:

B

Step-by-step explanation:

all you need to do is add 5 to the y for example ( -5, 5) add 5 to the (x,5) to make ( -5,10). As you can see only the y value is shifting, not the x value, that's why you need to add 5 to all the y values.

So the answer here is B.

Answer:

B

Step-by-step explanation:

The answer is B because 5 units up from 5 is 10. A and B both have a y coordinate of 5 and the answer letter B is the only one that mention 10 as a y coordinate twice

The probability that neither of the two individuals has some college or a college degree is (1 - P(college))^2.

To calculate the probability that at least one of the two individuals chosen at random from the population will have some college or a college degree, we need to consider the complement of the event, which is the probability that none of the individuals have a college degree.

Let's assume that the population size is N, and the number of individuals with a college degree is C. The probability that an individual does not have a college degree is (N - C) / N.

When choosing the first individual, the probability that they do not have a college degree is (N - C) / N.

When choosing the second individual, the probability that they do not have a college degree is also (N - C) / N.

Since these events are independent, we can multiply the probabilities together:

P(no college degree for either individual) = (N - C) / N * (N - C) / N = (N - C)² / N².

Now, to find the probability that at least one of the individuals has a college degree, we subtract the probability of none of them having a college degree from 1:

P(at least one with a college degree) = 1 - P(no college degree for either individual) = 1 - (N - C)² / N².

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Jane makes sure that the (B) coffee is brewed simultaneously in each pot as part of her experimental study.

Experimental investigations involve introducing an intervention and observing its results.

Typically, volunteers in experimental research are grouped randomly, or by chance.

In experimental research, the dependent and independent variables are compared to examine how they relate to one another.

A link between a certain feature of an item and the variable under investigation is either accepted or denied following the conclusion of an experimental research study.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

Laboratory experiments are the most fundamental type of experimental study, albeit they can take on several forms depending on the research topic.

So, in the given situation, Jeane makes sure that the coffee is brewed simultaneously in all of the pots.

Therefore, Jane makes sure that (B) coffee is brewed simultaneously in each pot as part of her experimental study.

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Complete question;
Jenae noticed that many of her co-workers would opt for the coffee that appeared to be most recently brewed, regardless of the flavor of the coffee offered. This leads her to believe that what she was witnessing was not really representative of everyone's true flavor preferences. She adapted her experimental study accordingly. Select one control in Jenae's experimental study:

a. Jeane places condiments at random places throughout the kitchen.

b. Jeane makes sure that the coffee in different pots is brewed at the same time.

c. Jeane uses different locations in the kitchen for the coffee pots.

d. Jeane monitors the habit of co-workers who do not drink coffee.

The total or actual time he needs to practice is 140 min whereas he practiced for 98 min during the school week.

We need to find the total time he must practice for a week. To find the total time we assume that the total time is x min.

Given Data:

Dmitri practices time during the school week = 98 min

Dmitri practices amount of time = 70% of his total time

Total time = x

Then the equation is given as

70% × (x) = 98

0.70 × (x) = 98

x = 98 / 0.70

x = 140

Therefore, The total time of the practices is 140 min

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Answer:

A. \(r^{3}\)(\(\frac{2}{3}\)\(\pi\) + 8)

Step-by-step explanation:

A composite figure is formed by two or more shapes in contact.

Volume of a cube = \(l^{3}\)

where l is the length of its sides.

Given that l = 2r, then;

volume of the cube = \((2r)^{3}\)

                                 = 8\(r^{3}\)

volume of the cube = 8\(r^{3}\)

For a hemisphere, volume = \(\frac{2}{3}\)\(\pi\)\(r^{3}\)

Also,

volume of the hemisphere = \(\frac{2}{3}\)\(\pi\)\(r^{3}\)

So that,

volume of the composite figure = volume of the cube + volume of the hemisphere

                                                 = 8\(r^{3}\) + \(\frac{2}{3}\)\(\pi\)\(r^{3}\)

                                                 = \(r^{3}\)(8 +  \(\frac{2}{3}\)\(\pi\))

volume of the composite figure =  \(r^{3}\)(\(\frac{2}{3}\)\(\pi\) + 8)

Using normal approximation and binomial distribution;

a. The probability of making a Type I error is approximately 0.3483.

b. The probability of committing a Type II error is approximately 0.6869.

To solve this problem, we can use the normal approximation to the binomial distribution.

a) Type I error refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis is that the proportion of vehicle engine failures due to cooling system problems is 40%. Let's calculate the probability of making a Type I error, assuming p = 0.4.

First, we need to calculate the mean and standard deviation of the binomial distribution:

Mean (μ) = n * p = 70 * 0.4 = 28

Standard Deviation (σ) = sqrt(n * p * (1 - p)) = sqrt(70 * 0.4 * (1 - 0.4)) ≈ 4.062

Next, we can use the normal distribution to approximate the binomial distribution. We want to find the probability of x < 26, which can be rewritten as P(X < 26.5) since we are dealing with discrete values.

Z = (X - μ) / σ

Z = (26.5 - 28) / 4.062 ≈ -0.390

P(X < 26.5) ≈ P(Z < -0.390) = 0.3483

Therefore, the probability of making a Type I error is approximately 0.3483.

b) Type II error refers to failing to reject the null hypothesis when it is actually false. In this case, the alternative hypothesis is that the proportion of vehicle engine failures due to cooling system problems is 30%. We want to evaluate the probability of committing a Type II error for p = 0.3.

Using the same mean (μ) and standard deviation (σ) calculated above, we can find the probability of x ≥ 26.

Z = (X - μ) / σ

Z = (26 - 28) / 4.062 ≈ -0.490

P(X ≥ 26) ≈ P(Z ≥ -0.490) = 1 - P(Z < -0.490) = 1 - 0.3131 = 0.6869

Therefore, the probability of committing a Type II error is approximately 0.6869.

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Answer:

Yes, you are 100% correct! Good job!!!

Step-by-step explanation:

Answer: B

Step-by-step explanation:

To solve this problem, we need to understand y-intercepts and slope.

Looking at the problem, we can automatically eliminate C and D. The graph has a negative slope because it is going down.

Now, let's look at the y-intercept. We see that the graph passes the y-axis at 1. Therefore, B is the correct answer.

A irrational number is a number that can't be expressed as a ratio of two whole numbers. That's it.

For examples (in increasing order of difficulty)

1 is a rational number because it is 1/1

0.75 is a rational number because it is equal to 3/4

2.333... (infinite number of digits, all equal to three) is rational because it is equal to 7/3.

sqrt(2) is not a rational number. This is not completely trivial to show but there are some relatively simple proofs of this fact. It's been known since the greek.

pi is irrational. This is much more complicated and is a result from 19th century.

As you see, there is absolutely no mention of the digits in the definition or in the proofs I presented.

Now the result that you probably hear about and wanted to remember (slightly incorrectly) is that a number is rational if and only if its decimal expansion is eventually periodic. What does it mean ?

Take, 5/700 and write it in decimal expansion. It is 0.0057142857142857.. As you can see the pattern "571428" is repeating in the the digits. That's what it means to have an eventually periodic decimal expansion. The length of the pattern can be anything, but as long as there is a repeating pattern, the number is rational and vice versa.

As a consequence, sqrt(2) does not have a periodic decimal expansion. So it has an infinite number of digits but moreover, the digits do not form any easy repeating pattern.

Answer:

Cost of a T-shirt is £4
Cost of a Hat is £1

Step-by-step explanation:

Let T be the cost of each T-shirt and H the cost of each hat

We get two equations based on the cost description

3T + 2H = 14 ...... (1)
2T + 7H = 15 ...... (2)

Multiply (1) by 2 and (2) by 3 so that the T terms are the same
(1) x 2  ==> 6T + 4H = 28  ...  (3)
(2) x 3 ==> 6T + 21H = 45 ... (4)

Subtract (3) from (4) to eliminate the T terms
21H - 4H = 45 - 28 or 17H = 17 ==> H = 1

Substituting the value of H in either (1) or (2) will give us a value for T
Substitute in (1)
3T + 2*1 = 14 ==> 3T = 12, T = 4

Check
In (1) 3 *4 + 2 *1 = 14
In (2) 2*4 + 7*1 = 15
So satisfies both equations

Answer: x= -1

Step-by-step explanation:

In mathematics when you have bases that are the same while multiplying you add the powers. In this case we do not have the same bases so we are going to make it look like 8 is 2. So we sort of simplify it. So we get 8 and put into like 2^4. We do not eliminate the power x that was already there though. So we will have 2^4x × 2^4-x. So like I said earlier we add the powers. Soo we will have

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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