Help me please with this

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

To know more about Radical form .

https://brainly.com/question/29153583

#SPJ8

Answer:

56

Step-by-step explanation:

Answer:

\(\boxed{\tt v < 6.8}\)

Step-by-step explanation:

\(\tt 0.5v+0.06 < 3.46\)

Multiply both sides by 100:-

\(\tt 0.5v\times\:100+0.06\times\:100 < 3.46\times\:100\)

\(\tt 50v+6 < 346\)

Subtract 6 from both sides:-

\(\tt 50v < 340\)

Divide both sides by 50:-

\(\tt \cfrac{50v}{50} < \cfrac{340}{50}\)

\(\tt v < \cfrac{34}{5}\)

Or

\(\tt v < 6.8\)

Therefore, your answer is v < 6.8!!! :)

______________________

Hope this helps!

Have a great day!

Answer:

864

Step-by-step explanation:

120 x 7.2 ..................

According to the given information the line integral is 8(1+125\(\sqrt{110}\)) / 15 .

What distinguishes a line integral from a definite integral?

Line integrals include several integrals across a curve, but definite integrals only entail a single integral over a specified interval. This is the primary distinction between the two types of integrals.

\(\int\limits_c {xy} \, ds\),  C : x = t^2 , y = 2t,  0 ≤ t ≤ 3

x' = 2t , y' = 2

ds = \(\sqrt{(x')^2 + (y')^2}\)

\(\sqrt{4(t)^2 + 4}\)

\(\int\limits C {xy} \, ds\) = \(\int\limits^3_0 {2.2t.2\sqrt{1+t^2}} \, dt\)

t = tanθ

dt = (1+\(tan^{2}\)θ)dθ = (\(sec^{2}\)θ)dθ

= \(\int\limits^3_0 {4t^3\sqrt{1+t^2} } \, dt\)

= 8(1+125\(\sqrt{110}\)) / 15

To know more about line integral visit : brainly.com/question/15052855

#SPJ4

Answer:

There are none

Step-by-step explanation:

Because 1/8 = 0.125

Just divide 1 over 8

The number of 3's in  the given fraction number 1/8 is, Zero

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number, 1/8

The number of 3's = ?

⇒ 1/8 = 0.125

There is no number 3 present in the result of this division

Hence, the number of 3's  is Zero

To know more about Fraction check:

https://brainly.com/question/8482939

#SPJ2

Answer:

a)57,600 b)12.5% increase

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it will take her 90000 seconds to complete 3000 piece of puzzle

Step-by-step explanation:

every 30 seconds, a correct puzzle piece , meaning 1 piece

how long would it take her to complete a 3000 piece puzzle

so let x = how long it would take her to complete a 3000 piece puzzle

so if 30 seconds = 1 piece

x seconds = 3000 piece

x = 90000 seconds

Answer: 5

Step-by-step explanation:

5765.903

going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .

.9 ( tenths) 0 (hundredths) 3 (thousandths)

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ4

Answer:

Step-by-step explanation:

tan 45=1

\(tan 2\alpha =\frac{2tan\alpha}{1-tan^2\alpha } \\put~\alpha =22.5\\2\alpha =2 \times 22.5=45\\tan~2\alpha =tan~45=1\\1=\frac{2tan \alpha }{1-tan^2\alpha} \\1-tan^2\alpha =2 tan\alpha \\ tan^2\alpha +2tan \alpha -1=0\\tan\alpha =\frac{-2 \pm\sqrt{4+4} }{2} \\=-1\pm\sqrt{2} \\\alpha =22.5\\so ~tan~\alpha ~is~positive.\\so ~tan~\alpha =\sqrt{2} -1\)

A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

\(s = \frac{-5 - 7}{-4 - (-8)} = -3\)

A perpendicular line to PQ must have a slope equal to:

\(s' = -(\frac{1}{-3} ) = (\frac{1}{3})\)

So we have two correct options (two lines with that slope) which are options B and C.

If you want to learn more about perpendicular lines:

https://brainly.com/question/7098341

#SPJ1

Answer:

Each t-shirt costs about $9.46

Step-by-step explanation:

We can represent as the function

\(f(x)=28x+30\)

\(295=28x+30\)

\(265=28x\)

\(x=9.46\)

Answer:

That's the 9.46

Step-by-step explanation:

//////__/////////////_/////

99% confidence level will be the widest and least precise for a particular data set including exactly 500 cases.

A confidence interval is a range around a measurement that conveys how precise the measurement is. The greater the confidence level the confidence interval. A narrow confidence interval enables more precision.

The width of the confidence interval is a function of two elements:

1. Confidence level 2. Sampling error. A wider confidence interval means a larger margin of error.

The question was incomplete but most probably the question was

Which ____ percent confidence interval will be the widest (i.e., the least precise) for a particular data set that includes exactly 500 cases?

a)99%

b)95%

c)90%

d)None of the above

Another problem based on confidence interval

brainly.com/question/16750075

#SPJ4

Answer: \(\quad x=1+\sqrt{3}i,\:x=1-\sqrt{3}i\)

Step-by-step explanation: \(x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:6\cdot \:24}}{2\cdot \:6}\)

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

Learn more about hypothesis from the given link

https://brainly.com/question/32562440

#SPJ11

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

To know more about median refer here:

https://brainly.com/question/11237736#

#SPJ11

37 is at the 50th percentile in the given set of values.

To find the percentile of 37 in the given set of values, we need to count the number of values in the set that are less than or equal to 37, and then divide by the total number of values in the set.

The given set has 16 values, and there are 8 values that are less than or equal to 37.

So, the percentile of 37 is:

Percentile = (number of values below score / total number of values) × 100

Percentile = (8 / 16) × 100

Percentile = 50

Therefore, 37 is at the 50th percentile in the given set of values.

Learn more about the percentile here:

https://brainly.com/question/1594020

#SPJ1

The probability that X has a value smaller than 7.5 is approximately 0.1056.

To find the probability that X is smaller than 7.5, we have to standardize the variable using the z-score formula:

z = (x - μ) /σ

here,

x = value of probability,

μ = mean of the distribution, and

σ= standard deviation.

Now, we get,

z = (7.5 - 10) / 2 = -1.25

Now, we have to find the probability that Z (the standardized variable) is less than -1.25.

From a standard normal distribution table, we get that the probability of Z being less than -1.25 is 0.1056.

Therefore, the probability that X has a value smaller than 7.5 is approximately 0.1056.

To know more about the probability, click here.

https://brainly.com/question/30034780

https://brainly.com/question/11234923

The probability that X has a value smaller than 7.5 is approximately 0.1056. This means that in a large number of trials, we would expect X to be smaller than 7.5 about 10.56% of the time.

To answer this question, we need to use the properties of the normal distribution. We know that X is normally distributed with mean 10 and standard deviation 2. We want to find the probability that X has a value smaller than 7.5.
We can use the standard normal distribution to solve this problem. To do this, we first need to standardize the value of 7.5. We do this by subtracting the mean from 7.5 and dividing by the standard deviation:
Z = (7.5 - 10) / 2 = -1.25
Now we can use a standard normal distribution table or calculator to find the probability that Z is less than -1.25. This probability is approximately 0.1056.

Learn more about probability here

https://brainly.com/question/24756209

#SPJ11

Answer:

0

Step-by-step explanation:

y2 - y1 / x2 - x1

10 - 10 / 2 - 4

0/-2

Answer:

y = 2x + 0

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4(2)+3(b-4(2))-2(2)=8

9514 1404 393

Answer:

  -24

Step-by-step explanation:

We can simplify this to ...

  b^2 +3(b -b^2) -2a

  = b^2 +3b -3b^2 -2a

  = -2b^2 +3b -2a . . . . . . . simplified form

This can be made easier for evaluation by factoring out b.

  = (-2b +3)b -2a

Using the given values, this is

  = (-2(4) +3)(4) -2(2)

  = (-5)(4) -4

  = -24 . . . . value of the expression

The simplified rational expressions are given as follows:

The first rational expression is given as follows:

\(\sqrt[5]{288p^7}\)

The number 288 can be simplified as follows:

\(288 = 2^5 \times 3^2\)

\(p^7\), can be simplified as \(p^7 = p^5 \times p^2\), hence the simplified expression is given as follows:

\(\sqrt[5]{2^5 \times 3^2 \times p^5 \times p^2} = 2p\sqrt[5]{9p^2}\)

(as we simplify the exponents of 5 with the power)

The second expression is given as follows:

\((216r^{9})^{\frac{1}{3}}\)

We have that 216 = 6³, hence we can apply the power of power rule to obtain the simplified expression as follows:

Hence the simplified expression is of:

\((216r^{9})^{\frac{1}{3}} = 6r^3\)

More can be learned about exponent rules at https://brainly.com/question/11975096

#SPJ1

Answer:

5 hours and 2 minutes?

Step-by-step explanation:

5,10,15,20,25 + the two=27

Answer: 3 hours

Step-by-step explanation: First you add the one time fee to the first hour. Which you get $17. Then you keep adding $5 until you get $27

Beta decay is a type of radioactive decay that occurs in certain atomic nuclei. It involves the transformation of a neutron or proton within the nucleus into the other.

In the case of Lanthanum-144 (La-144), a neutron undergoes beta decay to convert into a proton, resulting in the formation of Cerium-144 (Ce-144).

The equation for the beta decay of La-144 into Ce-144 is as follows:

La-144 → Ce-144 + β¯

In this equation, the La-144 nucleus decays into the Ce-144 nucleus. To conserve charge, a beta particle (β¯) is emitted. The beta particle can be either an electron (β-) or a positron (β+), depending on the specific type of beta decay occurring in the nuclide.

Learn more about Beta decay here : brainly.com/question/21370162

#SPJ11

To get from the number of eggs used to make a certain number of cookies to the number of eggs needed to make some other number of cookies, you would use a proportional relationship.

Let's say x represents the number of eggs used to make a certain number of cookies, y represents the number of cookies made, and z represents the number of eggs needed to make some other number of cookies.

Then, we can set up the proportion:

x eggs / y cookies = z eggs / (some other number of cookies)

We can then solve for z by cross-multiplying:

z eggs = x eggs * (some other number of cookies) / y cookies

This formula tells us how many eggs are needed to make the specified number of cookies, based on the number of eggs used and the number of cookies originally made.

Learn more about the proportional relationship at

brainly.com/question/29765554

#SPJ4

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as matched pairs.

Matched pairs refer to a specific type of data collection where two sets of data are linked together based on a common characteristic. This method is often used in research studies and experiments to compare the effects of different treatments or conditions on the same group of individuals. By matching data values in one sample with corresponding values in another sample, researchers can control for individual differences and isolate the impact of the treatment or condition being studied. This helps to minimize the influence of confounding variables and increases the validity of the results. Matched pairs design is particularly useful when working with small sample sizes or when it is difficult to obtain a large, random sample. By using matched pairs, researchers can enhance the precision and reliability of their findings.

Learn more about data collection here

brainly.com/question/15521252

#SPJ11

Answer:

u got zoom class in session ??

Step-by-step explanation: