x/7+x-2/14=1/7
Please answer x as a fraction!

9514 1404 393

Answer:

  24

Step-by-step explanation:

If we reschedule the doctor's half-hour break so that s/he quits work at 3:00 pm, s/he will have worked 6 straight hours from 9 am to 3 pm. Seeing 4 patients each hour, the doctor will have seen ...

  (6 h) × (4 pt/h) = 24 pt

The doctor saw 24 patients by 3:30 pm.

Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

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Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

Answer:-30

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

sorry if im wrong

Step-by-step explanation:

I hope this answer is helpful ):

The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)

We want to factor the algebraic expression;

26r³s + 52r^(5) - 39r²s⁴

Now, we need to first find the highest common factor here and factorize out.

First of all for the letters;

The highest common factor of the letters is r²

Factors of 26 = 1, 2, 13, 26

Factors of 39 = 1, 3, 13, 39

Factors of 52 = 1, 2, 4, 13, 26, 52

The highest common factor for the 3 numbers is 13.

Thus,in total, the highest common factor for the algebraic expression is 13r².

Finally, we have;

13r²(2rs + 4r³ - 3s⁴)

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Answer:

Step-by-step explanation:

Right Triangle Similarity

Acute Angle Similarity

If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.

In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .

So, ΔLMN∼ΔXYZ .

Leg-Leg Similarity

If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.

In the figure,  ABPQ=BCQR .

So, ΔABC∼ΔPQR .

Hypotenuse-Leg Similarity

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)

In the figure, DFST=DESR .

So, ΔDEF∼ΔSRT .

Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.

The probability that the gambler selected the fair coin, given that he observed two heads in a row, is 1/3.

Let's denote the event of selecting the fair coin as "F" and the event of getting two heads in a row as "HH". We need to find the probability of selecting the fair coin given that we observed "HH".

Using Bayes' theorem, the probability can be calculated as:

P(F | HH) = (P(HH | F)  P(F)) / P(HH)

P(HH | F) is the probability of getting two heads in a row given that the fair coin is selected. Since the fair coin is unbiased, the probability of getting heads on a single flip is 1/2. Therefore, the probability of getting two heads in a row with the fair coin is (1/2)  (1/2) = 1/4.

P(F) is the prior probability of selecting the fair coin, which is 1/2 since the gambler randomly selects one of the coins.

P(HH) is the total probability of observing two heads in a row. It can be calculated as the sum of the probabilities of getting two heads in a row with each coin: (1/4)  (1/2) + 1 (1/2) = 3/8.

Plugging these values into Bayes' theorem, we get:

P(F | HH) = (1/4 x 1/2) / (3/8) = 1/3

Therefore, the probability that the gambler selected the fair coin given that he observed two heads in a row is 1/3.

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Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

Multiply the provided meter value by 1000 to convert it to millimeters (meter to mm).

The following is an example of how to convert 8 meters to millimeters:

We are aware that 1 m = 1000 mm.

Consequently, five meters equal five times one thousand millimeters.

8m = 8000 mm.

Therefore, 8 meters equals 8000 millimeters when converted to millimeters.

Hope this helped!

Using the conversion factors to convert from meters to millimeters (5 m = 5000 mm), multiply the given meter number by 1000. The result of converting 5 meters to millimeters is 5000 mm.

Multiplicands are frequently used to convert measurements of a set quantity between multiple units.

These factors influence a measured quantity's value while altering its effects.

A conversion factor is a quantity that is multiplied or split by two different sets of units.

If a translation is necessary to arrive at an equivalent value, it must be performed using the correct conversion factor.

For instance, 12 inches equals one foot when translating between feet and inches.

The provided meter value must be multiplied by 1000 to convert from meters to millimeters (5 m = 5000 mm).

5000 mm is the result of converting 5 meters to millimeters.

Therefore, to convert from meters to millimeters (5 m = 5000 mm), multiply the given meter number by 1000. The result of converting 5 meters to millimeters is 5000 mm.

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Answer:

\(1\frac{3}{8} aka \frac{11}{8}\)

Step-by-step explanation:

to start, think of them as decimals

1/2 = 0.5

1/8 = 0.125

4/4 = 0.75

if you add them, youll get 1.375

as a fraction this is \(1\frac{3}{8} aka \frac{11}{8}\)

The given function is f(x) = 1/x, and we are to determine its average value over the interval from x = a to x = b, where a = 1/10 and b = 10.

We note that the average value of a function over an interval [a, b] is given by : Average value of f(x) over [a, b] = (1/(b - a))∫(from a to b) f(x)dx

Using this formula, we have : Average value of f(x) over [1/10, 10] = (1/(10 - 1/10))∫(from 1/10 to 10) 1/x dx= (1/(99/10)) [ln|x|] (from 1/10 to 10)= (10/99) [ln(10) - ln(1/10)]= (10/99) ln(100) = 10 ln(10)/99

Therefore, the average value of f(x) over the interval from x = a to x = b, where f(x) = 1/x, a = 1/10 and b = 10, is 10 ln(10)/99.

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(a) The number of binary strings of length 10 with at least one 1 is 1023.

(b) The number of binary strings of length 10 with at least one 1 and at least one 0 is 2045.

(a) To count the number of binary strings of length 10 with at least one 1, we can subtract the number of strings with all 0's from the total number of binary strings of length 10.

The total number of binary strings of length 10 is 2^10 = 1024, and the number of strings with all 0's is 1 (namely, 0000000000). Therefore, the number of binary strings of length 10 with at least one 1 is:

1024 - 1 = 1023

(b) To count the number of binary strings of length 10 with at least one 1 and at least one 0, we can use the principle of inclusion-exclusion.

The number of strings with at least one 1 is 1023 (as we calculated in part (a)), and the number of strings with at least one 0 is also 1023 (since the complement of a string with at least one 0 is a string with all 1's, and we calculated the number of strings with all 0's in part (a)).

However, some strings have both no 0's and no 1's, so we need to subtract those from the total count. There is only one such string, namely 1111111111. Therefore, the number of binary strings of length 10 with at least one 1 and at least one 0 is:

1023 + 1023 - 1 = 2045.

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The task is to derive and solve the system of equations for the nodes and weights of the Le quadrature rule on the interval (-1, 1) using four nodes, with t1 = -1 and ta = 1 given, and t2 and t3 chosen optimally to minimize.

To determine the nodes and weights for thecon the interval (-1, 1) with four nodes, we need to solve a system of equations.

Given t1 = -1 and ta = 1, and with t2 and t3 chosen optimally, we aim to minimize the error by obtaining an equation involving 1 + t that does not contain the weights w or w2.

The system of equations will involve the weights and the nodes, and solving it will provide the specific values for t2, t3, w1, w2, w3, and w4.

The optimality condition ensures that the chosen nodes and weights provide accurate approximations for integrating functions over the interval (-1, 1).

By solving the system of equations, we can obtain the exact values of the nodes and weights, achieving the desired equation involving 1 + t.

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The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

12.36

Step-by-step explanation:

the standard deviation is 12.36123 or 12.36 rounded.

The factor of the polynomial is option (D) (2x+5)^2 is the correct answer.

In this question,

Factorization is the breaking or decomposition of an entity (i.e.,) a number, a matrix, or a polynomial into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

The polynomial is \(4x^{2} +20x+25\)

The above polynomial can be factored as

⇒ \(4x^{2} +20x+25=0\)

⇒ \((2x)^{2}+2(2x)(5)+5^{2}\)

⇒ \((2x+5)^{2}\)

Hence we can conclude that the factor of the polynomial is option (D)(2x+5)^2 is the correct answer.

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The area of the region bounded by the parabola y=2-x^2, and the lines x-y=0 and 2x-y=0 is 2.667 square units.


To find the area, we set up a double integral over the given region. The region is bounded by the curves y=2-x^2, x-y=0, and 2x-y=0. We need to determine the limits of integration for x and y. The parabola intersects the x-axis at x=-2 and x=2.

The line x-y=0 intersects the parabola at x=-1 and x=1. The line 2x-y=0 intersects the parabola at x=-√2 and x=√2. Therefore, the limits for x are -√2 to √2, and the limits for y are x-y to 2-x^2. Integrating the constant 1 over these limits, we obtain the area as approximately 2.667 square units.

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The variable d in the given equation represents the number of minutes that Lilianna spends walking to the park.

Calories that Lilianna uses by sitting = 3/4

Calories that Lilianna uses by walking = calories used sitting + 1 : 1 + 3/4

Calories that Lilianna uses when she walks to the park = calories used per minute when walking x number of minutes spent walking.

Calories that Lilianna uses when she walks to the park = d(1 + 3/4)

12 1/4 = d(1 + 3/4)

d - 12 1/4 ÷ 1 3/4

d = 49 / 4 x 4/7

d = 7 minutes

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Answer:

Step-by-step explanation:

chicken=x+22

cow=x

chicken+cow=98

x+22+x=98

2x+22=98

2x=76

x=38

chicken =x+22=38+22=60

There are 60 chickens

Answer:

chicken=x+22

cow=x

chicken+cow=98

x+22+x=98

2x+22=98

2x=76

x=38

Step-by-step explanation:

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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Answer:

2.0612439 x 10^7

Step-by-step explanation:

Answer:

2.0612439 x 10 to the 7th power

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If a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The total cost of a washer and dryer combined = $750

The cost of the dryer = x

The cost of the washer is two times the cost of the dryer.

The cost of the washer = 2x

Then the equation will be

x + 2x = 750

Add the like terms of the equation

3x = 750

Move 3 to the right hand side of the equation

x = 750/3

x = $250

Hence, if a washer and dryer cost $750 and the cost of the washer is two times the cost of the dryer, then the cost of the dryer $250

The complete question is:

A washer and dryer cost $750 combined the cost of the washer is two times the cost of the dryer what is the cost of the dryer?

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Answer:

The answer is: Hundred Thousands

Answer:

A

Step-by-step explanation:

Answer:

the answer is 4

Step-by-step explanation:

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Vector that as a linear combination of the unit vectors i and j of (-7, √3) is -7 * i + √3 * j

To write the vector (-7, √3) as a linear combination of the unit vectors i and j, we need to determine the coefficients that multiply the unit vectors to obtain the components of the given vector.

The unit vectors i and j represent the directions of the x-axis and y-axis, respectively. The vector (-7, √3) can be expressed as:

(-7, √3) = a * i + b * j

where a and b are the coefficients we need to find.

The coefficient a represents the component of the vector (-7, √3) in the x-direction, parallel to the x-axis, and the coefficient b represents the component in the y-direction, parallel to the y-axis.

To find the coefficients, we can equate the corresponding components:

-7 = a

√3 = b

Therefore, the vector (-7, √3) can be written as:

(-7, √3) = -7 * i + √3 * j

In this representation, the coefficient -7 indicates that the vector (-7, √3) has a magnitude of 7 in the negative x-direction (opposite to the x-axis), and the coefficient √3 indicates that it has a magnitude of √3 in the positive y-direction (parallel to the y-axis).

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Answer:

28k

Step-by-step explanation:

There are k tanks with 28 fish each

The total number of fish is

28k

Answer: 28k

k represents the number of fish tanks.

If we have that then we can multiply and solve for the total number of fish.

Best of Luck!