enter the number to complete the linear combination.after substitution:gcd(85, 51) yields sequence: 85 51 34 17 0

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

Answer:

1/25 or 2/5 i guess

Step-by-step explanation:

Answer:

A) 3/100

Step-by-step explanation:

3/10x1/10=3/100

Answer:

d. y = 8x + 38

Step-by-step explanation:

lmk if you want an explanation

Answer:

Didn't post the picture

Step-by-step explanation:

Answer:

F = 32 + (C/59)

Step-by-step explanation:

C = 59(F - 32)

C/59 = F - 32

(C/59) + 32 = F

Hence,

F = 32 + (C/59)

Answer:

\(\textsf{B.} \quad f(x)=\dfrac{1}{(x+2)(x-1)}\)

Step-by-step explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that the asymptotes are:

This means that the function is undefined when x = -2, x = 1 and y = 0.

For a rational function to be undefined, the denominator equals zero.

Therefore,

So the equation of the function is:

\(f(x)=\dfrac{1}{(x+2)(x-1)}\)

Look at the vertical asymptotes

They are

So factor up the denominator

Hence the rational function is 1/(x+2)(x-1)

Option B

Answer:

YOUR WELCOME

\(\:\)

y = 3x − 1

Using the slope-intercept form, the slope is 3.

m = 3

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

\( P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)\)

And using the probability mass function we got:

\(P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205\)

\(P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117\)

\(P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439\)

\(P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098\)

\(P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977\)

And adding the values we got:

\( P(X\geq 6) = 0.377\)

The best answer would be:

D. 0.377

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

\(X \sim Binom(n=10, p=0.5)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

For this case in order to pass he needs to answer at leat 6 questions and we can rewrite this:

\( P(X \geq 6) = P(X=6) +P(X=7) +P(X=8) +P(X=9) +P(X=10)\)

And using the probability mass function we got:

\(P(X=6)=(10C6)(0.5)^6 (1-0.5)^{10-6}=0.205\)

\(P(X=7)=(10C7)(0.5)^7 (1-0.5)^{10-7}=0.117\)

\(P(X=8)=(10C8)(0.5)^8 (1-0.5)^{10-8}=0.0439\)

\(P(X=9)=(10C9)(0.5)^9 (1-0.5)^{10-9}=0.0098\)

\(P(X=10)=(10C10)(0.5)^{10} (1-0.5)^{10-10}=0.000977\)

And adding the values we got:

\( P(X\geq 6) = 0.377\)

The best answer would be:

D. 0.377

Answer:can you help me

write a letter to your friend about important of reading books?

Answer:

Area = 189 m^2

Step-by-step explanation:

This is a trapezium with height h=9m, base, b = 24, top, t = 18.

The area is given by

A = (base+top)*height/2

= (24+18)*9/2

= 189 m^2

Answer:

x = 7/4

Step-by-step explanation:

3x+ 2 = 9 –x

3x + x = 9 - 2

4x = 7

x = 7/4

Answer:

2.5% of drivers have a reaction time more than 2.14 seconds

16% of drivers have a reaction time less than 1.78 seconds

84% of drivers have a reaction time less than 2.02 seconds

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

In this problem, we have that:

Mean = 1.9s

Standard deviation = 0.12

What percentage of drivers have a reaction time more than 2.14 seconds?

2.14 = 1.9 + 2*0.12

So 2.14 is two standard deviations above the mean.

Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, so, below 2.14. The other 5% is above.

0.05*0.5 = 0.025

2.5% of drivers have a reaction time more than 2.14 seconds

What percentage of drivers have a reaction time less than 1.78 seconds?

1.78 = 1.9 - 0.12

So 1.78 is one standard deviation below the mean.

Of the 50% of the measures that are below the mean, 68% are within one standard deviation of the mean, that is, greater than 1.78.

100 - 68 = 32

0.32*50 = 0.16

16% of drivers have a reaction time less than 1.78 seconds

What percentage of drivers have a reaction time less than 2.02 seconds?

2.02 = 1.9 + 0.12

So 2.02 is one standard deviation above the mean.

Of the measures that are below the mean, all are below 2.02.

Of those that are above, 68% are below 2.02.

0.5 + 0.68*0.5 = 0.84

84% of drivers have a reaction time less than 2.02 seconds

The percentage of drivers have a reaction is :

-2.5% of drivers have a reaction time more than 2.14 seconds

-16% of drivers have a reaction time less than 1.78 seconds

-84% of drivers have a reaction time less than 2.02 seconds

Answer 1:

2.14 = 1.9 + 2*0.12

2.5% of drivers have a reaction time more than 2.14 seconds

Answer 2:

1.78 = 1.9 - 0.12

16% of drivers have a reaction time less than 1.78 seconds.

Answer 3:

2.02 = 1.9 + 0.12

84% of drivers have a reaction time less than 2.02 seconds

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Let X and Y be IID Unif(0, 1). the distance between X and Y.Expected value: 0 and Standard deviation: \($\sqrt{\frac{1}{3}}$\)

Expected value:

E(X-Y)

= E(X) - E(Y) = 0 - 0 = 0

Standard deviation:

Var(X-Y) = Var(X) + Var(Y) = 1 + 1 = 2

SD(X-Y) = \($\sqrt{2}$ \\\) \(= $\sqrt{\frac{1}{3}}$\)

The expected value of X-Y is the difference of the expected values of X and Y, which are both 0 since they are both IID Unif(0, 1). The variance of X-Y is the sum of the variances of X and Y, which are both 1. Since the standard deviation is the square root of the variance, the standard deviation of X-Y is the square root of 2

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The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.

Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.

Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.

Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:

\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)

Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.

Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

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Answer:

Black Line     y = 3 + 2x ,     y = 2x +3

Red Line       y = -2 - .5x.     y = -.5x -2

vice versa

Step-by-step explanation:

For the black line, the lines intersects y at coordinate (0,3) and that would be b. To find the slope, use the equation rise / run. It rises 4 and runs 2. Putting this into an equation 4/2, it would be 2 as the constant. In other words, it would be 2x. Therefore, the function for the black line is y = 3 + 2x

For the red line, using the same explanation from the black line, the line intersects y at -2, and the slope would be -.5x, since it runs downwards 2 and runs 4, and since it runs downwards, a negative sign would be necessary in front of the slope.

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

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Answer:

That'll be the answer choice B

Step-by-step explanation:

-3(4-12)

Distribute :D

-3(4) - -3(12)

A subtraction sign and a negative sign cancel into a plus sign

-3(4) + 3(12)

Multiply!!

-12 + 36

Answer: I believe it would be B.-12+36

Answer:

A

Step-by-step explanation:

Answer:

hexagon

Step-by-step explanation:

42/7 = 6

Hexagon has six sides

The price of the cost per quart of laundry detergent is A = $ 3.47

Given data ,

Let the unit cost rate be A

Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.

To find the price per quart, we can divide the total cost by the number of quarts:

Price per quart = Total cost / Number of quarts

Price per quart = $27.76 / 8 = $3.47

Hence , the price per quart of laundry detergent is $ 3.47

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Answer:

5/8

Step-by-step explanation:

3/4 = 6/8

6/8 - x = 1/8

x = used gas = 5/8

Answer:

8.5 potatoes per minute

Step-by-step explanation:

The unit rate of Dante, while eating a banana is 8.5 seconds.

Now, calculate the unit rate as follows:

The ratio which will be formed is:

Divide 102 by 1 since we have to find the time of 1 slice.

In equal to this equation, the ratio which will be formed is:

Because We already have 12 minutes but the time of eating 1 banana is not given so we will be assuming it as x.

So, our Final equation will be:

Therefore, the unit rate of Dante, while eating a banana is 8.5 seconds.

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Answer:

24.6 degrees.

Step-by-step explanation:

To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.

sin(θ) = opposite/hypotenuse

sin(θ) = 3/7

Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.

θ = sin^-1(3/7)

θ ≈ 0.429 radians

To find the degree measure, we must convert radians to degrees by multiplying by 180/π.

θ ≈ 0.429 x 180/π

θ ≈ 24.6 degrees

Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.

Answer: 538

Step-by-step explanation: en verdad no sé pero eso fuelo que me salio

Answer:

There isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average .

Step-by-step explanation:

This is a one sample mean test ;

H0 : μ = 2.7

H1 : μ > 2.7

Given the data :

2, 3, 3, 1, 2, 5, 3, 4, 1, 2, 4, 3

Sample size, n = 12

The sample mean, xbar = ΣX / n = 33/12 = 2.75

The sample standard deviation, s = 1.215 ( from calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (2.75 - 2.7) ÷ (1.215/√(12))

T = 0.05 / 0.3507402

T = 0.1426

The critical value from Tscore ;

df = 12 - 1 = 11

Critical value = 1.796

Since ; Test statistic < Critical value ;WE fail to reject the Null and conclude that there isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average

Answer:

Poison ivy rash is caused by contact with poison ivy, a plant that grows almost everywhere in the United States. The sap of the poison ivy plant, also known as Toxicodendron radicans, contains an oil called urushiol. This is the irritant that causes an allergic reaction and rash.

You don’t even have to come in direct contact with the plant to have a reaction. The oil can linger on your gardening equipment, golf clubs, or even your shoes. Brushing against the plant — or anything that’s touched it — can result in skin irritation, pain, and itching.

Jared might have told him about his activities similar to the ones like gardening etc. by which Jared's physician use to make a diagnosis.

He told doctor that he just returned from camp this clearly indicates that he might get in touch with plants .

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

Answer:

f(5) = 38

Step-by-step explanation:

f(a) = 7(a + 1) - 4

f(5) = 7(5 + 1) - 4

f(5) = 7(6) - 4

f(5) = 42 - 4

f(5) = 38

Answer:

50 granola bars

Step-by-step explanation:

800 divided get 50 bars