2.
(06.01)

Which of the following shows the correct evaluation for the exponential expression 6 over 7 to the power of 2 ? (2 points)
6 over 7 plus 2 equals 2 and 6 over 7
6 over 7 times 2 equals 12 over 7 which equals 1 and 5 over 7
6 over 7 times 6 over 7 equals 36 over 49
6 over 7 divided by 2 equals 6 over 14

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

easy it is

x= -12

Step-by-step explanation:

Now lets assume you use a stronger password with a mix of lowercase and uppercase characters, such as "blUeFisH", then the character set is 52. In this case, there are 52^8 possible combinations of 8 character passwords. So, to break an 8 character password, it will take (1.7*10^-6 * 52^8) seconds / 2, or 1.44 years.

Answer:

4(0,1),(1,3),2,9),(3,6)....

I hope maka tulong

Answer:

i think it is B sorry if i em wrong

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3 3/8 becomes 27/8.

27/8 x 16/3=18

You have to flip 3/16 since you are dividing.

Answer:18

Step-by-step explanation:

3 3/8 devided by 3/16=18

The probability of choosing the expected value of games is

a) P ( G ) = 1/4

b) P ( R ) = 3/8

c) P ( B ) = 1/4

d) P ( Y ) = 1/8

Given data ,

Color Payout

Red $2

Blue $6

Green $6

Yellow $20

Now , game costs $5 to play and you win money based on the color the spinner lands on

On simplifying , we get

The number of yellow spinner = 1

The number of blue spinner = 2

The number of green spinner = 2

The number of red spinner = 3

So , the probabilities are

a) P ( G ) = 1/4

b) P ( R ) = 3/8

c) P ( B ) = 1/4

d) P ( Y ) = 1/8

Hence , the probability is solved

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

f(5) = 12

Step-by-step explanation:

f(x) = x +7

f(5) = (5) + 7

f(5) = 12

Hope this helps and I hope u have an Amazing day!!

Answer:

Step-by-step explanation:

1) BD bisects ∠ABC                 Given

2) ∠BDA ≅ ∠BDC                     Given

3) BD ≅ BD                                Reflexive property

4)Δ BDA ≅ ΔBDC                     A S A congruent

2) 1.ST ≅ UV                                Given

2.∠WST ≅ ∠WVU   Alternate interior angles, ST //UV and SV transversal              

3. ∠WTS≅∠WUV    Alternate interior angles, ST//UV and Tu transversal.

4. ΔWST ≅ΔWUV       A S A

3) ∠EHF ≅ ∠GHF            Given  FH bisects ∠EHG

2.∠ FEH ≅∠FGH               Given

   FH ≅ FH                        Reflexive property

ΔFEH ≅ΔFGH                  A A S

Answer:

6.8 miles

Step-by-step explanation:

First, create the equation representing Chelsey's miles compared to Kyle's:

c = k + 2.8

Next, find how many miles Chelsey runs if Kyle runs 4 miles.

Plug in 4 as k into the equation:

c = k + 2.8

c = 4 + 2.8

c = 6.8

So, Chelsey runs 6.8 miles

Answer:

Each day after school, Chelsey runs 2.8 miles farther than Kyle.

Part A. Write an equation that represents the number of miles Chelsey runs, c, compared with Kyle, k.

plzz help

Part B. If Kyle runs 4 miles, how many miles does Chelsey run?

Let the miles walk by Chelesy be x

Now,

x = 4 + 2.8

x = 6.8 miles

Therefore,

\( \\ \)

Answer:

Y ≥(greater than or equal to) R or Y ≤(less than or equal to) R

The phrase at least means about equal to, represented by that sign. In this case, equal to, because x + y = 16 total since she spent 16 hours cooking and cleaning. That would mean they both have to equal 8 to get 16. You can also do 10 + 6 to get 16. There are a few more solutions after this you can try, which I will not list at the moment.

__________________________________________________________

Ask in the comments box.

The graphs of y = x + 1 and y = 2^x intersect at approximately (-0.3517, 0.6483) and (1.561, 3.561).

To find the points of intersection between the graphs of y = x + 1 and y = 2^x, we need to set the two equations equal to each other and solve for x.

Setting y = x + 1 equal to y = 2^x, we have:

x + 1 = 2^x

To solve this equation, we can use numerical methods or make observations to find the points of intersection. By observing the behavior of the two functions, we can see that they intersect at two points: one when x is negative, and another when x is positive.

For x < 0, the exponential function y = 2^x approaches 0 as x approaches negative infinity, while the linear function y = x + 1 continues to decrease as x becomes more negative. Thus, there is one point of intersection in this region.

For x > 0, the exponential function grows faster than the linear function, so there is another point of intersection in this region.

However, finding the exact values for the points of intersection requires numerical methods such as using a graphing calculator or solving the equation numerically. Approximate values for the points of intersection can be found as x ≈ -0.3517 and x ≈ 1.561.

for more such questions on graphs

https://brainly.com/question/29538026

#SPJ8

Answer:

400

Step-by-step explanation:

20 times 20

Projects that adopt agile methodology are not prone to the typical rapid changes that occur throughout the system development lifecycle, The statement is False.

The methodology is defined as to the overarching strategy and rationale of your research project.

It involves studying the methods used in your field and the theories or principles behind them, in order to develop an approach that matches your objectives.

Agile project management methodology is commonly used for software development projects. It has greater adaptability to frequently changing scopes. Adopt Agile because they want to increase speed to market, meet customer demand, or increase team productivity.

To know more about Methodology:

https://brainly.com/question/12325081

#SPJ4

Answer:

6\(cm^{2}\)

Step-by-step explanation:

0.5bh=0.5*3*4=6

Let x be Ben's score in his third game, then if the average is at least 170 we get that:

Multiplying the above inequality by 3 we get:

solving the above inequality for x we get:

Therefore x is at least 156.

Answer: He must bowl at least 156 in his third game in order to have an average of at least 170.

Answer:

3.4375

Step-by-step explanation:

One pint = 16 fluid ounces

55 ÷ 16 = 3.4375

(So basically a bit more than 3)

Answer:

The mean is \(\mu = 69.25\)

Step-by-step explanation:

We are given the following distribution:

P(x = -500) = 0.076

P(x = -250) = 0.191

P(x = 0) = 0.265

P(x = 250) = 0.316

P(x = 500) = 0.152

Find the mean, µ for the probability distribution.

To find the mean, we multiply each outcome by its probability. So

\(\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25\)

The mean is \(\mu = 69.25\)

Answer:

-18+12

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

The solution to the equation 4x - 6 = 30 is x = 9.

Given the equation in the question:

4x - 6 = 30

To solve the equation 4x - 6 = 30, first, isolate the term with the variable:

4x - 6 = 30

Add 6 to both sides of the equation to isolate the term with the variable:

4x - 6 + 6 = 30 + 6

Add -6 and 6

4x + 0 = 30 + 6

4x = 30 + 6

Add 30 and 6

4x = 36

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 36/4

x = 36/4

x = 9

Therefore, the value of x is 9.

Learn more about equations here: brainly.com/question/14686792

#SPJ6

Answer:

The answer is B.

hope this helps

have a good day :)

Step-by-step explanation:

v=pi*r^2h

Answer:

5626.9m³

Step-by-step explanation:

V = πr²h

radius = 8

height = 28

to make it easier first step is to get the multiply the radius and the height but first multiple the radius by itself

=> 8 x 8 = 64

=> 64 x 28 = 1792

then multiply 1792 by π (3.14)

=> 1792 x 3.14 = 5626.88

when you round the answer it will be 5626.9

hope this helps and is right :)

Answer:4 ma boi

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

because I am god at meth and very smart

For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

Find out more on confidence interval here: https://brainly.com/question/15712887

#SPJ1

The probability of Event A is 1/360 and the probability of Event B is 1/15.

For Event A, we can calculate the probability by considering the order in which the acts are scheduled.

There are 6 acts, so there are 6 possible choices for the first act. After the first act is scheduled, there are 5 remaining acts, so there are 5 possible choices for the second act.

Similarly, there are 4 possible choices for the third act, and 3 possible choices for the fourth act.

Finally, there are 2 possible choices for the fifth act, and only 1 choice remains for the last act.

Therefore, the total number of possible ways to schedule all 6 acts is:

6 x 5 x 4 x 3 x 2 x 1 = 720

Since we are only interested in one specific order of the first four acts, we need to count the number of ways to schedule the remaining two acts after the first four have been scheduled in the desired order.

There are 2 remaining acts, so there are 2 possible choices for the fifth act.

Only one act remains for the last slot.

Therefore, the total number of ways to schedule all 6 acts such that the acrobat is first, the singer is second, the violinist is third, and the whistler is fourth is:

1 x 1 x 1 x 1 x 2 x 1 = 2

Thus, the probability of Event A is:

P(A) = 2/720 = 1/360

For Event B, we want to count the number of ways to schedule the first four acts as the whistler, the acrobat, the guitarist, and the dancer, in any order.

There are 4 acts, so there are 4 possible choices for the first act. After the first act is scheduled, there are 3 remaining acts, so there are 3 possible choices for the second act.

Similarly, there are 2 possible choices for the third act, and only one choice remains for the fourth act.

Therefore, the total number of possible ways to schedule the first four acts is:

4 x 3 x 2 x 1 = 24

Since we do not care about the order in which the last two acts are scheduled, we can simply choose any two acts from the remaining 2. There are 2 ways to do this.

Therefore, the total number of ways to schedule all 6 acts such that the first four acts are the whistler, the acrobat, the guitarist, and the dancer, in any order is:

24 x 2 = 48

Thus, the probability of Event B is:

P(B) = 48/720 = 1/15

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

Answer:

63.89

Step-by-step explanation:

my teacher went over this in class

Answer:

It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC

Step-by-step explanation:

nope

The number of mosquitoes will be increased by 5 inches of rain.

Maximum mosquito population = 25000

We are given the following in the question:

M(x) = 10x - x²

where M(x) denotes the number of mosquitos in millions and x denotes the amount of rainfall in inches.

To begin, we differentiate M(x) with respect to x, yielding

d(M(x)) /dx = d(10x - x²) /dx = 10 -2x

When we set the first derivative to zero, we get

d(M(x)) /dx = 0

10 - 2x = 0

x = 5

We get the same result when we differentiate M(x) with respect to x:

d²(M(x)) / dx² = -2

d²(M(x)) / dx² < 0

As a result of the double differentiation test, the maxima for M(x) occur at x = 5.

when the rainfall is 5 inches, the most mosquitoes are present.

Maximum mosquito population:

M(5) = 10(5) - (5)² = 25

As a result, the maximum number of mosquitos is 25000.

To learn more about derivatives refer to :

https://brainly.com/question/12047216

#SPJ13

Answer:

\(g(x) = x^2 + 13x + 30\)

Step-by-step explanation:

We are given the function:

\(f(x) = x^2 + 5x - 6\)

It is shifted 4 units left to create g(x), and we want to determine the equation of g.

Recall that to shift a function horizontally, we add a constant k to the function. k is the horizontal translation. That is:

\(\displaystyle f(x) \rightarrow f(x - k)\)

Since we are shifting four units left, k = -4:

\(\displaystyle f(x) \rightarrow f(x - (-4)) = f(x+4)\)

Find f(x + 4):

\(\displaystyle \begin{aligned} g(x) = f(x + 4) &= (x+4)^2 + 5(x+4) - 6 \\ \\ &= (x^2 + 8x + 16) + (5x + 20) - 6 \\ \\ &= (x^2) + (8x + 5x) + (16+20-6) \\ \\&= x^2 + 13x + 30\end{aligned}\)

In conclusion:

\(g(x) = x^2 + 13x + 30\)