Algebra 2 - U2 L2 - Multiplying and Dividing Radical Expressions

A ratio describes a relationship between two or more quantities. When mixing colors, ratios are often used to determine the ratio of different colors required to achieve a desired hue. Ratios can be expressed in 1:, 2:3,.. etc.

Ratios affect the appearance of paint colors. In this scenario, Can A has a higher percentage of red than can B. This means that the shade of pink you get with Can A is likely to be darker and more red due to the higher concentration of red.

Can B, on the other hand, has a lower percentage of red, suggesting that the resulting pink hue is lighter and less red than can A.  

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Answer:

147+25=172

Step-by-step explanation:

Have a nice day!

Brainliest me pls

Answer:

A = 147

Step-by-step explanation:

A + 25 = 172

subtract 25 from both sides

A + 25 - 25 = 172 - 25

A = 147

The data provide evidence that the rate is at least 90% correct.

To determine whether the rate of correct readings by the OCR system is at least 90%, we can perform a hypothesis test. The null hypothesis, denoted as H0, would state that the rate is equal to 90% or less, while the alternative hypothesis, denoted as Ha, would state that the rate is greater than 90%.

In this case, we have 462 out of 500 digits read correctly by the OCR system. To test the hypothesis, we can calculate the sample proportion of correct readings, which is 462/500 = 0.924.

Using this sample proportion, we can conduct a one-sample proportion test. With a sample size of 500, the conditions for performing the test are satisfied. We can calculate the test statistic and p-value to assess the evidence against the null hypothesis.

If the p-value is less than the significance level (commonly 0.05), we would reject the null hypothesis and conclude that there is evidence that the rate is greater than 90%. Conversely, if the p-value is greater than or equal to the significance level, we would fail to reject the null hypothesis.

Without the specific test statistic and p-value provided, we cannot give a definitive conclusion. However, based on the given information, the data indicate that the rate is at least 90% correct, as the sample proportion is 0.924.

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Answer:

A and E

Step-by-step explanation:

a) The strongest aptitude for student A cannot be determined without knowing the specific percentile rankings.

b) The percentage of students who scored lower than student A in mathematical skills cannot be determined without knowing the specific percentile ranking of student A in mathematical skills.

c) The comparison between student A, student B, and the rest of the students in reading comprehension cannot be determined without knowing their respective percentile rankings.

d) The prediction of the area of study in which student B would most likely be successful cannot be determined without additional information.

e) The weakest aptitude for student A cannot be determined without knowing the specific percentile rankings.

To answer the questions, we need the specific percentile rankings for student A and student B in each sub-test. The percentile rankings indicate the percentage of students who scored lower than a particular student. Without this information, it is not possible to determine their strengths, weaknesses, or make predictions about their areas of study.

Without knowing the specific percentile rankings for student A and student B in each sub-test, it is not possible to determine their strongest and weakest aptitudes, compare them to other students, or make predictions about their areas of study based on the given information.

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Answer:

She will need to pay $206.50 per month.

Step-by-step explanation:

Divide the total cost ($2,478) by the number of months (12 mos) to obtain Sam's monthly payment:

 $2,478

---------------- = $206.50/month

12 months

She will need to pay $206.50 per month.

Answer:

it's got unlimited solutions

Step-by-step explanation:

Answer:

(0, 1)

Step-by-step explanation:

First, we need to make y the subject of the formula from both expressions

For 4x+8y=5

8y = 5- 4x

y = (5-4x)/5

Similarly for x-3y= -3

-3y = -3 - x

3y = x+3

y = (x+3)/3

Since both lines intersects, hence;

(5-4x)/5 = (x+3)/3

Cross multiply

5(x+3) = 3(5-4x)

5x + 15 = 15 - 12x

5x + 12x = 15 - 15

17x = 0

x = 0/17

x = 0

Sustitute x = 0 into any of the equations

Given that y = x+3/3

y = 0+3/3

y = 3/3

y = 1

This shows that the lines intesects at (0, 1)

Answer:

he has to start at 8:30 PM I think

Step-by-step explanation:

it's because you do 30*5 then you get the answer 150, then you will do 150/60 whitch will get you to 2.5 and I think 2.5 is 2 hours, and 30 minutes. Then you minius 2 hours, and 30 minutes to the 10 hours and you get 8:30 PM (I don't know if that's correct or not)

Answer:

35 feets

Step-by-step explanation:

Initial Position = - 25 feets

Final height reached after jumping = 10 feets

The vertical distance traveled by dolphin :

Final height reached - Initial position

(10 feets) - (-25 feets)

10 feets + 25 feets

= 35 feets

Answer:

324

Step-by-step explanation:

6 x 3 = 18

18 x 2 = 36

16 x 3 = 48

48 x 2 = 96

6 x 16 = 96

96 x 2 = 192

192 + 96+ 36 = 324 metres squared

Answer:

96or44

Step-by-step explanation:

6×16

=96

or

6+6+16+16

=44

Answer:

2400+56=2456 OR

2500-44=2456

Answer:

Step-by-step explanation:

614x4=2,456

The answer is (a) 0.63.

The standard error of the mean can be calculated using the formula:

SE = sqrt(s^2 / n)

where s is the sample standard deviation, n is the sample size, and SE is the standard error of the mean.

Given that the sample size is 50 and the sample variance is 19.8, we need to first calculate the sample standard deviation by taking the square root of the sample variance:

s = sqrt(19.8) = 4.45

Then, we can plug in the values into the formula to get:

SE = sqrt(s^2 / n) = sqrt(19.8 / 50) ≈ 0.63

Therefore, the answer is (a) 0.63.

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The probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

To find the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

- P(X = k) is the probability of exactly k successes,

- n is the number of trials,

- k is the number of successes,

- p is the probability of success in a single trial, and

- C(n, k) is the combination of n choose k.

In this case, n = 12, k can be 0, 1, or 2, and p = 0.59 (the probability of using smartphones in meetings or classes).

Now we can calculate the probabilities for each value of k and sum them up:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Calculating these probabilities and summing them up will give us the desired probability that fewer than 3 out of 12 users use their smartphones in meetings or classes.

Let's calculate the probabilities.

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

Using the combination formula, C(12, 0) = 1, and simplifying the equation:

P(X = 0) = 1 * 1 * (1 - 0.59)^12 = 0.0003159

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

Using the combination formula, C(12, 1) = 12, and simplifying the equation:

P(X = 1) = 12 * 0.59^1 * (1 - 0.59)^11 = 0.0065294

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Using the combination formula, C(12, 2) = 66, and simplifying the equation:

P(X = 2) = 66 * 0.59^2 * (1 - 0.59)^10 = 0.0470972

Now, let's sum up these probabilities to find P(X < 3):

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.0003159 + 0.0065294 + 0.0470972 = 0.0539425

Therefore, the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

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DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Answer:

Step-by-step explanation:

The graph has an initial value (y-intercept) of 6 and a slope of 2/3, using the slope intercept formula, the graph has the equation

y = (2/3)x + 6

The characteristics of the normal distribution can be used to determine the likelihood that X equals 19.62 because X is a normally distributed random variable with a mean of 12 and a standard deviation of 3.

We must compute the z-score, which counts the number of standard deviations a given result is from the mean, in order to determine this probability. Calculating the z-score is as follows:

z = (x - μ) / σ

If the supplied value, x, the mean, and the standard deviation are all given.In this instance, x=19.62, =12, and =3 respectively. By replacing these values, we obtain:

z = (19.62 - 12) / 3 ≈ 2.54

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It is predicted that there will be approximately 122 thousand keylogging programs reported in 2014.

To predict the number of keylogging programs that will be reported in 2014, we can use the given information about the growth rate of keylogging programs from 2000 to 2005.

The data indicates that the number of keylogging programs grew approximately exponentially from 0.4 thousand programs in 2000 to 13.0 thousand programs in 2005.

To estimate the number of keylogging programs in 2014, we can assume that the exponential growth trend continued during the period from 2005 to 2014.

We can use the exponential growth formula:

N(t) = \(N0 \times e^{(kt)\)

Where:

N(t) represents the number of keylogging programs at time t

N0 is the initial number of keylogging programs (in 2000)

k is the growth rate constant

t is the time elapsed (in years)

To find the growth rate constant (k), we can use the data given for the years 2000 and 2005:

N(2005) = N0 × \(e^{(k \times 5)\)

13.0 = 0.4 × \(e^{(k \times 5)\)

Dividing both sides by 0.4:

\(e^{(k \times 5)\) = 32.5

Taking the natural logarithm (ln) of both sides:

k × 5 = ln(32.5)

k = ln(32.5) / 5

≈ 0.4082

Now, we can use this growth rate constant to predict the number of keylogging programs in 2014:

N(2014) = N0 × \(e^{(k \times 14)\)

N(2014) = 0.4 × \(e^{(0.4082 14)\)

Using a calculator, we can calculate:

N(2014) ≈ \(0.4 \times e^{5.715\)

≈ 0.4 × 305.28

≈ 122.112

Rounding to the nearest integer:

N(2014) ≈ 122

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when considering the given options, Argentina stands out as the country where inflation has historically been high and unpredictable.

Among the options provided (Germany, Canada, China, Argentina, Sweden), Argentina is known for its history of high and unpredictable inflation. Argentina has experienced significant inflationary periods throughout its economic history. Factors such as fiscal imbalances, currency depreciation, and inconsistent monetary policies have contributed to inflationary pressures in the country.

Argentina has faced several episodes of hyperinflation, with inflation rates reaching extremely high levels. These periods of inflationary instability have had detrimental effects on the economy, including eroding purchasing power, increasing costs, and creating economic uncertainty.

In recent years, Argentina has implemented various measures to combat inflation and stabilize its economy

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The correct answer is option A, counter clockwise 90°, for the needle to lean on the outline section, the wheel must be turned counter clockwise 90°. Any other turn of the wheel will not result in the needle leaning on the outline section.

Counterclockwise is an adjective used to describe motion or rotation that is in the opposite direction of a clock's hands. For example, when a person swims in a pool, they may swim counterclockwise around the perimeter of the pool. This is the opposite direction of the way a clock's hands move. Counterclockwise rotation is also known as anti-clockwise rotation.

When an object is placed on a flat surface and the wheel is turned, it will rotate in the same direction as the motion of the wheel. If the needle is leaning on the outline section, the wheel must be turned counter clockwise 90°. This is because when the wheel is turned counter clockwise, the needle will be forced to move in the same direction and end up leaning on the outline section.

When the wheel is turned clockwise, the needle will move in the opposite direction and it will not end up leaning on the outline section. Therefore, a clockwise turn of 120° or 180° is not the correct answer. Similarly, turning the wheel counter clockwise by 180° is also not the correct answer. This is because the needle will end up pointing in the same direction it was pointing before the wheel was turned.

In conclusion, for the needle to lean on the outline section, the wheel must be turned counter clockwise 90°. Any other turn of the wheel will not result in the needle leaning on the outline section.

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Answer:

A. counter clockwise 90°.

Step-by-step explanation:

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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The probability that 5 people sit in the correct order in either direction clock or anti-clock is equal to the probability of any one of the orders occurring, which is 1/2, or 50%.

To calculate the probability that they sit in the correct order in both directions, you would multiply the probability of each event occurring. Since the probability of either event occurring is 1/2, the probability of both events occurring is (1/2) * (1/2) = 1/4, or 25%. This means that there is a 25% chance that the 5 people will sit in the correct order in both directions around the table.

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If the device needs 3 volts and 1.2 Amp, then the minimum number of AA batteries which are required to power this equipment is 3.

In order to find minimum number of AA batteries needed to power the portable communication-device, we compare voltage and current requirements of device with specifications of AA batteries.

We know that,

AA battery voltage: 1.5 volts

AA battery current: 0.5 Amps

Device voltage requirement: 3 volts

Device current requirement: 1.2 Amps

First, we calculate voltage requirement. Since each AA battery provides 1.5 volts, we calculate how many batteries are needed to reach the desired 3 volts by dividing the device voltage requirement by the battery voltage:

3 volts / 1.5 volts = 2 batteries

So, at least 2-AA batteries are needed to satisfy voltage requirement.

Next, we consider current requirement, each AA battery can provide up to 0.5 Amps, so we check if this is sufficient to meet the device's current requirement of 1.2 Amps.

Since the device requires 1.2 Amps, and each AA battery can provide 0.5 Amps, we can find how many batteries are needed by dividing device current requirement by battery current,

So, (1.2 Amps)/(0.5 Amps) = 2.4 batteries,

We can't have a fraction of a battery, on rounding up to nearest whole number. We need at least 3-AA batteries to satisfy current-requirement.

Therefore, 3 AA batteries are required.

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Answer:

x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2  = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

Answer:

11sqrt(2)

Step-by-step explanation:

This is an isosceles right triangle so x=y.

By Pythagorean Theorem, x^2+x^2=22^2.

2x^2=22^2 after combining like terms

x^2=22^2 /2 after dividing 2 on both sides

x=sqrt(22^2 /2) after taking square root of both sides

x=22/sqrt(2)

x=22/sqrt(2) sqrt(2)/sqrt(2)

x=22sqrt(2)/2

x=11sqrt(2)

Answer:

Step-by-step explanation:

10:3 i believe

Answer:

9:31

Step-by-step explanation:

I guess since there arent any other mentioned its only black and brown horses so it would be 9:31

Answer: 8 cookies

Step-by-step explanation:

   First, we will find the cost of 7 donuts.

          7 donuts * $1.25 per donuts = $8.75 for the donuts

   Now, we will subtract the cost of the donuts from the money Seoul has.

       $15 total - $8.75 for the donuts = $6.25 for the cookies

   Next, we will divide the money left by the price per cookie for the number of cookies.

       $6.25 for the cookies / $0.75 per cookie = 8 \(\frac{1}{3}\) cookies

   Lastly,  you usually cannot buy one-third of a cookie, so we will round down.

       8 \(\frac{1}{3}\) cookies ≈ 8 cookies

Answer:

The system of equations is:

-5x + 9y = -9

5x - 8y = 4

The determinant of the coefficients is:

D = |-5 9|

| 5 -8|

D = (-5)(-8) - (9)(5) = 40 - 45 = -5

The determinant of x is found by replacing the x-coefficients with the constants:

Dx = |-9 9|

| 4 -8|

Dx = (-9)(-8) - (9)(4) = 72 - 36 = 36

The determinant of y is found by replacing the y-coefficients with the constants:

Dy = |-5 -9|

| 5 4|

Dy = (-5)(4) - (-9)(5) = -20 + 45 = 25

Using Cramer's Rule:

x = Dx/D = 36/-5 = -7.2

y = Dy/D = 25/-5 = -5

Therefore, the solution to the system is x = -7.2 and y = -5.

Hope this helps!