how to solve this plss frac{(\sqrt{(3)})^{5}}{((\sqrt{(3)})^{-4})}=(\sqrt{(3)})^{(2k+1)​

Answer:

Step-by-step explanation:

1,4,7,10

r=3

a1+10r=a11

a1+30=a11

a1=1

a11=31

Answer:

\(a1 = 1 \\ d = 4 - 1 = 3 \\ a11 = a1 + 10d \\ a11 = 1 + 10 \times 3 \\a11 = 1 + 30 = 31 \\ thank \: you\)

Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Jordan scored a total of 4.4 points on all five tests combined. Therefore, Jordan needs a score of 1 point on the sixth test to achieve an average of 90% over all six tests.

a. To find the total score Jordan received on all five tests, we can multiply his mean score (88%) by the total number of tests (5). The calculation is as follows:

Total score = Mean score x Number of tests

Total score = 88% x 5

To calculate the total score, we convert 88% to its decimal form by dividing it by 100:

Total score = 0.88 x 5 = 4.4

Therefore, Jordan scored a total of 4.4 points on all five tests combined.

b. To calculate the score Jordan needs on the sixth test to achieve an average of 90%, we need to consider the total number of tests and the desired average.

Let's assume the sixth test is worth 100 points (as the previous tests were). Jordan's goal is to have an average of 90% over the six tests.

To find the score he needs on the sixth test, we can set up the following equation:

(4.4 + x) / 6 = 90%

Here, x represents the score on the sixth test. We multiply the average by the total number of tests to find the sum of all scores. Solving the equation:

4.4 + x = 6 * 0.90

4.4 + x = 5.4

x = 5.4 - 4.4

x = 1

Therefore, Jordan needs a score of 1 point on the sixth test to achieve an average of 90% over all six tests.

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Answer:

what

Step-by-step explanation:

...

As per the standard deviation, the average number of hours per week spent studying for students at her college is less than 17 hours per week.

The term standard deviation is defined as the statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here we have given that one faculty member in statistics believed the average number of hours/week spent studying stat 200 was 4, but most other faculty members think it is less than 4. the faculty want to see if the average is less than 4. (the sample average was 3.7 hours/week with a sample standard deviation of 1.8 hours/week) and we need to find analysis should they use.

While we reading the question, we know that

Sample average = 3.7

Standard deviation = 1.8

Then the null and alternative hypothesis is written as,

p-value = P(z ≤ 29.07) = 1.0000

Rejection Rule is Reject H0 if p-value < a

p-value 1.0000 > a = 0.05

Therefore,  the conclusion said that here we do Not Reject H0

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The conditional relative frequency that a female prefers running is 0.36

Statistics is a branch of applied mathematics that involves the collection, description, analysis, and inference of conclusions from quantitative data

The specific number (females prefer cycling = 0.15) and the fitting total. There are 2 possibilities for that total :

all females

all people preferring cycling

the way it was phrased I would say the reference is all females.

the conditional relative frequency is then

0.15 / 0.46 = 0.326

Hence the conditional relative frequency that a female prefers running is 0.36

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Answer:

Step-by-step explanation:

Dont listen to the above the answer is acually 58

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

\(a^2 + b^2 = c^2\)

\(a^2 + (40)^2 = (54)^2\)

\(a^2 + 1600 = 2916\)

\(a^2 = 2916-1600 = 1316\)

\(a = \sqrt{1316}\)

\(a = 36.27671429\)

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

Answer:

_______Y=0.75X-2_______

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

Step-by-step explanation:

Median: First write in ascending order. If number of data's is odd, median is the middle data.

If number of data's is even, then median = average of n/2th and (n+2)/2th term.

1) 1 , 3 , 5 , 5 , 6

Median = 5

2) 3,4,10,2,1

Ascending order: 1,2,3,4,10

Median = 3

3) 4, 5,7,11

Median = (5+7)/2 = 12/2 = 6

4) 1,1,2,6

Median = (1+2)/2 = 3/2 = 1.5

5) 2,2,3,3,,5,7

Median = 3+3/2 = 6/2 = 3

6)1,2,4,6,7,7

Median = (4+6)/2 = 10/2 = 5

7) 2,2,3,6,7,8

Median = (3+6)/2 = 9/2 = 4.5

8)1,2,3,14,17,18

Median = (3+14)/2 = 17/2 = 8.5

Mean= Sum of all the items÷ number of items

1)Mean = (1+2+3+2)÷4 = 8÷2 = 4

2)Mean=(4+3+2+4+2)÷5 = 15÷5 = 3

3)Mean = (5+4+6+1)÷4 = 16÷4 = 4

4)Mean = (2+5+1+4+7+5)÷6 = 24÷6 = 4

5)Mean =(10+11+9+12+8)÷5=50÷5 = 10

6)Mean = (1 + 2 + (-2)+1+(-2) )÷5 = -2÷5 = -0.4

7)Mean = (4+(-2)+3+(-3)+3)÷5 = 5÷5 = 1

8)Mean = (4+5.5+3+5.5)÷4=18÷4 = 4.5

Answer:

Median

1) 5

2) 3

3) 5+7=12/2=6

4)1+2=3/2=1.5

5)3+3=6/2=3

6) 4+6=10/2=5

7) 3+7=10/2=5

8)14+3=17/2=8.5

Mean

1) 2

2) 3

3)4

4)4

5) 10

6) 0

7) 1

8) 4.5

Step-by-step explanation:

Median is the middle number, make sure the list of in order from smallest to highest.

2) 1, 2, 3, 4, 10

if you have two numbers in the middle add them together then divide by 2

4) 1, 1, 2,6

5)2, 2, 3, 3, 5, 7

6) 1, 2, 4, 6, 7, 7

7)2, 2, 3, 7, 6,8

8)1, 2, 3, 14, 17, 18

Mean is when you add all the numbers together and divide by how many there are.

1) 1+3+2+2=8/4=2

Answer:

i

Step-by-step explanation:

he went slower go down because you try sliding gong down

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

The time, when the cyclist was twice as far from b as the motorcyclist was is 1.12 p.m.

Step-by-step explanation:

The time both the motorcyclist and the cyclist leave from a = 12 noon

The time it takes the motor cyclist to arrive at b = 1 1/2 hours = 1 hour, 30 minutes

The time it takes the cyclist to arrive at b = 30 min later than the motorcyclist = 30 minutes + 1 hour 30 minutes = 2 hours

The speed of the motorcyclist = x/1.5 mph

The speed of the cyclist = x/2 mph

Let the time, in hours, when the cyclist was twice as far from b as the motor cyclist was be t, and let c represent the location of the cyclist at time, t, we have;

The ratio of the speed of the two cyclist is 3:4

t × b/2 = b - (b - c) and t × b/1.5 = b - (b - c)/2

c/(t/2) = (b/2 + c/2)/(t/1.5)

2·c = 1.5·b/2 + 1.5·c/2

2·c - 1.5·c/2 = 1.5·b/2

1.25·c = 0.75·b

c = 0.6·b

Substituting gives;

t × b/2 = b - (b - 0.6·b)

t = 0.6·b ×2/b = 1.2

Therefore, the time, in hours, when the cyclist was twice as far from b as the motorcyclist was = t = 1.2 hours from the starting time or 1.12 p.m.

Answer:

0

Step-by-step explanation:

1.6x + 9x =15x

2. 15(x + 4) = 15x + 60

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

15x + 35 = 15x + 60 - 25

15x + 35 = 15x + 35

0 = 0

The difference in the shortest collection times before and after the well installation is 20 minutes, calculated by subtracting the shortest time after installation (25 minutes) from before (45 minutes), as shown in the box and whiskers plot.

This is calculated by subtracting the shortest collection time after well installation (25 minutes) from the shortest collection time before well installation (45 minutes):

45 - 25 = 20 minutes.

This can be seen in the box and whiskers plot provided, where the lowest value for each distribution is denoted by the beginning of the whiskers.

So, the difference is before and after the well installation is 20 minutes.

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--The given question is incomplete, the complete question is given

" What is the difference in minutes between the shortest collection times before and after the well was installed"--

The following is true about the study: e. It has one factor (medication) blocked by age.

In statistics, when a factor (independent variable) is blocked by another factor, it means that the effect of the first factor is controlled or eliminated by the second factor.

In this case, the factor that is blocked is the medication, which means that the effect of medication on the outcome variable is controlled by age.

Blocking a factor is often done in experimental design to remove the effects of extraneous variables or to control the influence of certain factors on the outcome variable.

In this case, age is considered a blocking variable because it is not of interest in the study, but it may have an effect on the outcome variable. By blocking the effect of medication by age, the study can better isolate the effect of medication on the outcome variable.

In summary, the statement e. "It has one factor (medication) blocked by age" is correct which means that the study controlled for the effect of age on the outcome variable by blocking the effect of medication by age.

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Answer:

10.22 kilograms

Step-by-step explanation:

you do 1.48+8.74=10.22

The chef bought 10.22 kilograms of nuts in total.

To find the total amount of nuts the chef bought, we add the number of almonds to the number of pecans:

1.48 kg + 8.74 kg = 10.22 kg

So the chef bought 10.22 kilograms of nuts in total.

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B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

Let's clarify the comparison between the functions f(x) and g(x) and explain the rates of decrease more accurately.

The given table represents the values of function g(x) for different values of x: x = 0, 1, 2, 3, 4.

The corresponding values of g(x) are 75, 43, 27, 19, and 15, respectively.

Function f is described as an exponential function that has an initial value of 64 and decreases by 50% as x increases by 1 unit.

However, we don't have the specific values of f(x) for the interval [0, 4].

So, we cannot compare the exact values of f(x) and g(x) directly.

Now, let's compare the average rates of decrease between the two functions:

For function f, we know that it decreases by 50% as x increases by 1 unit. This means that for every unit increase in x, the value of f(x) decreases by half of its previous value.

On the other hand, for function g, we can observe the values in the table. As x increases from 0 to 1, g(x) decreases from 75 to 43.

This is a decrease of 32, which represents a decrease of (32/75) \(\times\) 100% ≈ 42.67%.

From the given information, we can conclude that function g is decreasing at a faster average rate compared to function f on the interval [0, 1].

However, without further information or additional data points, we cannot make a definitive comparison for the entire interval [0, 4].

Therefore, the correct statement regarding the comparison of the two functions on the interval [0, 4] would be:

B. Both functions are decreasing, but function g is decreasing at a faster average rate on that interval.

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Answer:

17.25 lbs

Step-by-step explanation:

6 x 2 3/8

The limiting speed of particle is: 12 cm/sec.

We have the following information available from the question:

A particle is falling in a viscous liquid.

We have to assume that the drag force is 245  dyn-isec/cm times cm the velocity.

If the mass of the particle is 10 grams, the limiting speed in cm is sec.

We have to find the limiting speed in cm is sec.

Now, According to the question:

The mass of particle is given as 6 grams.

Suppose the limiting speed be x cm/s.

6 × 980 = 490x

⇒ x = (6 × 980)/490

⇒ x = 12

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Answer:

I don't think there is a least perfect square that is factor of 4536

Step-by-step explanation:

Work Shown:

Length of AC = 10-4 = 6 units (I'm subtracting the x coordinates)

Length of A'C' = 25-10 = 15 units

Scale factor = (A'C')/(AC) = 15/6 = 5/2 = 2.5 = 2 & 1/2

Triangle A'B'C' has side lengths that are 2 & 1/2 times longer compared to the corresponding sides of triangle ABC.

Answer:

5/6

Step-by-step explanation:

There are 24 hours a day and a koala sleeps for 20 hours of it:

20/24

5/6

Answer:

they sleep for 20/24 percent of the day or 4.8 percent.

Step-by-step explanation:

Answer:

D) y=-x

Step-by-step explanation:

Slope intercept form is , y = mx+c, where m is the slope and c is the y-intercept. Substituting the values of m and c, we will get,

y = (-1)*x + 0

y = -x

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.

Let's apply this general guideline to your scenario:

One three-credit class that is less demanding:

Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Two three-credit classes that are typically demanding:

Similarly, for each of the two three-credit classes, you would spend:

3 credits * 2-3 hours/credit = 6-9 hours per week.

Since you have two such classes, the total time would be:

2 * (6-9) hours = 12-18 hours per week.

One four-credit class that is very challenging:

Using the same guideline, for a four-credit class, you would ideally spend:

4 credits * 2-3 hours/credit = 8-12 hours per week.

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Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2\(\sqrt{3}\), 6-2\(\sqrt{3}\)

There are various factors that can distort the relationship between the independent and dependent variables. Nonetheless, the factor that most likely distorts the relationship between the two is the presence of a confounding variable.

What is a confounding variable

A confounding variable is an extraneous variable in a statistical model that affects the outcome of the dependent variable, providing an alternative explanation for the relationship between the dependent and independent variables. Confounding variables may generate false correlation results that lead to incorrect conclusions. Confounding variables can be controlled in a study through the experimental design to avoid invalid results. Thus, if you want to get a precise relationship between the independent and dependent variables, you need to ensure that all confounding variables are controlled.An example of confounding variables

A group of researchers is investigating the relationship between stress and depression. In their study, they discovered a positive correlation between stress and depression. They concluded that stress is the cause of depression. However, they failed to consider other confounding variables, such as lifestyle habits, genetics, etc., which might cause depression. Therefore, the conclusion they made is incorrect as it may be due to a confounding variable. It is essential to control all possible confounding variables in a research study to get precise results.Conclusively, confounding variables are the most likely factors that can distort the relationship between the independent and dependent variables.

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Answer:

Step-by-step explanation:

a.) S(t)=9t-4

   S(4)= 9(4)-4

         =  36-4

   S(4)=32

b.)  S(4) means the number of people who got the flu in 4 days.

c.)  S(t)=23  t=23/s

d.)  I'm not sure on this one. S(t)=23 means 23 people got the flu in t days

e.) Choose values as inputs- these will be your x values, your putput will be the y.

I think I did this right, Hope this helps :)