for which values of x will the rational expression below equal 0 check all that apply

Answer:

I hope this answer is correct

Step-by-step explanation:

This generation represents a large portion of the current population. As they age, they will cause changes to the economy. The population has grown considerably, but the rate has slowly declined.

find the function value round to four decimal places cos 38.43

using a calculator

cos(38.43)=0.783368

round to four decimal places

1. Table 4 values shows a Linear function.

2. 6 seconds faster were the runner in Group 2 than runners in Group 1.

Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )

Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.

1. In the table 4 we conclude that:

y = f(x)

f(2) = 4         -------- point is ( 2, 4)

f(4) = 6         -------- point is ( 4, 6)

f(6) = 8         -------- point is ( 6, 8)

f(8) = 10        -------- point is ( 8, 10)

for the points to be in a line their slope must be equal:

Slope of line from point (2, 4) and (4, 6):

Slope = ( y2 - y1 )/ (x2 - x1)

Slope = ( 6 - 4 )/(4-2)

Slope = 2/2 = 1

Similarly,

Slope of line from point (4, 6) and (6, 8):

Slope = ( 8- 6 )/(6-4)

Slope = 1

Same as for points (6, 8) and (8,10)

Slope = 1

here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.

Hence, Table 4 values shows a Linear function.

2.  Here we have given the data:

For group 1: 55 68 64 66 70

For group 2: 56 58 59 61 57

Average or Geometric mean :

Sum of all the observation / number of observation

Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5

Average for Group 1 = 64.6

Average for Group 2 = (56 + 58 + 59 + 61 +  57)/5

Average for Group 2 = 58.2

Difference between the Average of group 1 and group 2: 6.4.

in whole number 6 seconds.

Hence,

6 seconds faster were the runner in Group 2 than the runners in Group 1.

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The exponential equation will be y = 10 (0.1)ˣ.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The table of data is given.

x         f(x)

-2        128

-1          27

0          5

1            1

2         0.1

Then the equation will be

f(x) = abˣ

At x = 1, the value of f(x) is 1.

1 = ab ...1

At x = 2, the value of f(x) is 0.1.

0.1 = ab² ...2

Then from equations 1 and 2, we have

0.1 = b

Then the value of a will be

a = 1 / 0.1

a = 10

Then the exponential equation will be

y = 10 (0.1)ˣ

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Answer: f(x)=5(0.2)x

Step-by-step explanation:

I GOT IT RIGHT

Answer:

Step-by-step explanation:

The relations that you need to know to solve this are ...

__

The angle marked x° and the one marked 100° are vertical angles, so have the same measure:

  x° = 100°

__

The angle marked y° is supplementary to the one marked x°, so its value is ...

  y° = 180° -100° = 80°

__

The two angles marked z° and (z+10)° are also supplementary, so ...

  z° +z° +10° = 180°

  2z° = 170°

  z° = 85°

Answer: 26.78 27.08 27.8 27.88

Step-by-step explanation:      

1: Using a Place Value Chart, compare the whole numbers in your list of decimals.

2: Set up a table for the remaining numbers.

3: Transfer the decimals from your math problem into the table.

4: Compare the digits in the tenths column of the table

5: Compare the hundredths column (2 to the right of the decimal point).

6: Examine the digits in the thousandths column.

7: Order the numbers from least to greatest.

- 27.08 - 2nd because 0 is the least/lower number than 8 (tenths value)

- 27.88 - 4th because there are two numbers after the decimal which are greater than the others (tenths & hundredths value)

- 27.8 - 3rd because there is only one number after the decimal (tenths value)

- 26.78 - 1st because 6 is the least number than 7 (tens value)

Explanation in words (Short Form)

- Using the place value chart I can count the lowest number in the tens value that will be the first least number. I will progress my way up until I will eventually find the least to greatest numbers because of there decimal points and numbers after the decimals.

Reference: Place value chart

Answer:  

26.78, 27.08, 27.8, 27.88

Hope this helps.

Answer:

\(z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675\)  

Now we can calculate th p value using the alternative hypothesis with the following probability:

\(p_v =2*P(z>1.675)=0.0939\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of Type A donations  is not significantly different from 0.4 or 40% at 5% of significance.

Step-by-step explanation:

Information given

n=150 represent the random sample taken

X=70 represent the samples with Type A blood

\(\hat p=\frac{70}{150}=0.467\) estimated proportion of samples with Type A blood

\(p_o=0.4\) is the value to verify

\(\alpha=0.05\) represent the significance level

zwould represent the statistic

\(p_v\) represent the p value

System of hypothesis

We want to verify if the actual percentage of Type A donations differs from 40%, then the system of hypothesis are:  

Null hypothesis:\(p=0.4\)  

Alternative hypothesis:\(p \neq 0.4\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.467 -0.4}{\sqrt{\frac{0.4(1-0.4)}{150}}}=1.675\)  

Now we can calculate th p value using the alternative hypothesis with the following probability:

\(p_v =2*P(z>1.675)=0.0939\)  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of Type A donations  is not significantly different from 0.4 or 40% at 5% of significance.

Answer:

all the would need water becouse water is the main reason to get live

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

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Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

Comparing two integers that each stand for a component of a whole results in a proportion. In essence, a percentage declares that two fractions are equal, regardless of the difference in amount. For instance, the ratio of half of 10 marbles to half of 50 marbles is 10. When determining if two ratios or fractions are equivalent, the proportion formula is utilized. By dividing the supplied values, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, b::c: d = a/b = c/d.

Given,

22 miles/ 55 hours = 12 miles/ k hours

Solving the proportion using cross products,

22 × h = 12 × 55

22 × h = 660

h = 660 ÷ 22

h = 30

Solving the proportion 22 miles/ 55 hours :: 12 miles/ k hours using cross products, value of h is 30.

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Answer:

2x-3/7x

Step-by-step explanation:

No, the inference is not valid because it excluded those who were not online and so did not see the poll.

To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds

The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.

To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.

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The values of x is x<39.5.

Given that the shopkeeper spends on rent and electricity is = 5x+14

Spending of shopkeeper on rent = 3x-7

So shopkeeper spends on electricity = (5x+14) - (3x-7) = 2x+21

Given that amount the shopkeeper spends on electricity less than 100.

So suitable inequality,

2x+21 < 100

2x < 100-21

2x < 79

x < 39.5

All the values of x<39.5.

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Answer:

Step-by-step explanation:

find 2^-6 as a fraction​

2^-6 = 0.015625

0.015625 as a fraction

(0.015625/1) × (1000000/1000000) =

15625/1000000

simplified = 1/64.

\(\frak{Hi!}\)

\(\orange\hspace{300pt}\above2\)

                  Let's find \(\boldsymbol{\sf{2^{-6}}}\) as a fraction

                  Did you know that if we have a number with negative

                  exponents, we flop it over? This is how it's done-:

                  \(\boldsymbol{\sf{2^{-6}=\displaystyle\frac{1}{2^6}}}\). And Now we need to evaluate

                 \(\boldsymbol{\sf{\displaystyle\frac{1}{64}}}\).

done!!

\(\orange\hspace{300pt}\above3\)

Answer:

A

Step-by-step explanation:

Answer:

Here's how:-

x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-

\(altitude^{2} + base^{2} = hypotenuse^{2}\)

The base is 120cm and the hypotenuse is 122cm

Putting this in the equation, we get:-

\(altitude^{2} + 120^{2} = 122^{2}\)

\(altitude^{2} = 122^{2}- 120^{2}\)

\(altitude^{2} = 14884 - 14400\)

\(altitude^{2}\) = 484

altitude = \(\sqrt{484}\)

Answer:

y=-2/3x+2

Step-by-step explanation:

multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2

Answer:

38 (cm.)

Step-by-step explanation:

1) to calculate the values of 'x' and 'y' (see the picture):

x=10-3-3-2=2 cm.

y=3 cm.

2) to calculate the required perimeter:

10+3+3+6+3+3+2+3+2+3=38 cm.

The expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

Some laws of exponents are:

We need to find all the expressions equivalent to 4^10​.

We will use laws of exponents for all the options one by one.

Option A:

2^5 . 2^2 = 2^(5 + 2) = 2^7

This is not equivalent to 4^10​.

Option B:

2^10 = 2^(2 * 10) = (2^2)^10 = 4^10

This is equivalent to 4^10​.

Option C:

4^4 . 4^6 = 4^(4 + 6) = 4^10

This is equivalent to 4^10​.

Option D:

4^7 . 4^-3 = 4^(7 + (-3)) = 4^4

This is not equivalent to 4^10​.

Option E:

4^4 / 4^-6 = 4^(4 - (-6)) = 4^10

This is equivalent to 4^10​.

So, 2^20, 4^4 . 4^6, and  4^4 / 4^-6 are equivalent to 4^10​.

So, option B, option C, and option E are correct.

Thus, the expressions equivalent to 4^10​ are 2^20, 4^4 . 4^6, and  4^4 / 4^-6. Option B, option C, and option E are correct.

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It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.

To solve this problem, we can use the formula:

Time = Work ÷ Rate

Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.

Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).

Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).

If they work together, their combined rate of work is the sum of their individual rates:

Rate = Maria's rate + New clerk's rate

Rate = 1/12 + 1/13

Rate = (13 + 12) / (12 x 13)

Rate = 25 / 156

So, their combined rate of work is 25/156 jobs per hour.

Now, we can use the formula to find the time it takes for them to complete the job together:

Time = Work ÷ Rate

Time = 1 ÷ (25/156)

Time = 156/25

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The number of molecules is 6.023× 10²³ in 23 gram of Na.

What is molecules?

A single atom or more make up a molecule. If they have more than one atom, they may all be the same (for example, an oxygen molecule has two oxygen atoms) or they may all be different. Numerous thousands of atoms can be found in biological molecules like DNA and proteins.

What is one mole?

The International System of Units uses the mole (symbol: mol) as the unit of material quantity. How many elementary entities of a particular substance are present in an object or sample is determined by the quantity of that material. It is specified that the mole contains exactly 6.023× 10²³ elementary entities.

The mass of one mole of sodium is 23 gram.

The number of molecules of 1 mole is 6.023× 10²³.

The number of molecules of in 23 g Na is 6.023× 10²³.

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Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.

To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.

First, find the slope (m) using the derivative of the function f(x) = √x:

f'(x) = 1 / (2√x)

Evaluate the derivative at x = 125:

f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10

Now, find the y-coordinate of the point on the function f(x) at x = 125:

f(125) = √125 = 5

So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.

Using the point-slope form of a linear equation, the equation of the tangent line can be written as:

y - 5 = (1/10)(x - 125)

To simplify, multiply through by 10:

10y - 50 = x - 125

Rearranging the equation, express it in the form y = mx + b:

y = (1/10)x - 75/10 + 5

Simplifying further:

y = (1/10)x - 75/10 + 50/10

Combining the terms:

y = (1/10)x - 25/10

Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.

Now, use this tangent line to approximate the value of √125.2:

Substitute x = 125.2 into the equation:

y = (1/10)(125.2) - 25/10

y = 12.52 - 2.5

y ≈ 10.02

So, using linear approximation, approximate √125.2 as approximately 10.02.

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The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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The sum of all interior angles of a parallelogram adds up to 360°.

2(5x) + 2 (11x+4) = 360

Solve for x

10x + 22x + 8 = 360

10x +22x = 360 - 8

32x = 352

x = 352/32

x = 11

m125°

m55°

Answer:

Step-by-step explanation:

We have that he bought 2 units and 3/8 of a unit of ham, we determine its cost as follows:

*We find the simple fraction that represents what he bought:

Now, we determine it's cost:

These values are the cost of one unit times the quantity we want to know the cost of, divided by the unit.

From this, we have that the cost of the ham Juan bought he had to pay approximately $14.23.

Answer:

a. There are 1365 choices of eleven questions.

b. 1764 groups of eleven questions contain five that require proof and six that do not.

Step-by-step explanation:

The order in which the questions are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

a. How many different choices of eleven questions are there?

Eleven questions from a set of 15. So

\(C_{15,11} = \frac{15!}{11!4!} = 1365\)

There are 1365 choices of eleven questions.

b. Suppose seven questions require proof and nine do not. How many groups of eleven questions contain five that require proof and six that do not?

5 from a set of 7 and 6 from a set of 9. So

\(C_{7,5}C_{9,6} = \frac{7!}{5!2!} \times \frac{9!}{6!3!} = 1764\)

1764 groups of eleven questions contain five that require proof and six that do not.