2/11 into lowest terms

answer:

1) 271

2) 151

3) 169

4) 62

5) 90

If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

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The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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Answer:

A) 1/13

B) 1/52 (or 1/4)

Step-by-step explanation:

52 cards in total.

4 Queens in total.

4/52=1/13

1 Queen of diamonds.

1/4 of 1/13 = 1/4×1/13 = 1/52

The second part of the question isn't overly clear, so I think that the answer is most likely 1/52, but could be 1/4.

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Plantain is a large property, usually focused on a plantation's house, which is used for cash crop production.

Cotton, coffee, tea, chocolate, sugar cane, opium, sisal, oil seeds, oil palms, fruits, rubber trees, and agroforestry systems are among the crops farmed.

The benefits of propagating the trees are:

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Answer:   D is correct

Step-by-step explanation:

everything under the X side can be multiplied by 5 and equal Y

Answer:

C

Step-by-step explanation:

Answer: $69

Step-by-step explanation: For every hour ray works over 40 hours, he makes an additional $7.50. According to part B, Ray calculated incorrectly that he earned $45 of additional pay. His error when he calculated incorrectly his overtime pay was that he didn't mulitply correctly, and that gave him the andwer of $45. So therefore, Ray's paycheck for working 46 hours was $69. How I found out my answer I did 150% times 46 which gave me 6,900. After that I divided 6,900 by 100 which gave me 69. If we wanna check our answer we can always divide 69 and 46 hours and get 150%. So In Conclusion, Ray would make more oney working 32 hours a week, and then 46 the next week. We also found this out, because working 32 hours one week ray makes $48, but when he works 46 hours a week, ray makes $69 and when adding those together it makes much more than 40 hours a week for two weeks.

Happy Holidays!!!

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

B. The equation has one solution

Step-by-step explanation:

Let's get rid of 3x first. We're going to add it to the other side. That way our equation will now look like 3 + 4x = 2. Now subtract the 3 from both sides. SO now you'll be left with 4x = -1. We're are now going to divide by 4 on both sides which will leave us with x = -1/4 or -0.25. The equation has one solution so your answer will be B.

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

\(f^{-1}(x)=\sqrt{x}\)

Step-by-step explanation:

Check images below.

The distance between points P and Q is √73

First, remember that the distance between two points whose coordinates are (a, b) and (c, d) is given by:

distance = √( (a - c)² + (b - d)²)

Here we can see that the coordinates of the two shown points are:

P = (-3, 2)

Q = (5, -1)

Replacing that in the distance formula we will get:

distance = √( (-3 - 5)² + (2 + 1)²)

distance = √( (-8)² + (3)²)

distance = √73

So the correct option is the third one.

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Step-by-step explanation:

For the pair of binomials to give a product of a perfect square trinomial, the pair of binomials must be exactly the same.

The answer is (2x + 3)(2x + 3). (C)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

y = 20.39x - 51.526

Step-by-step explanation:

y2 - y1 / x2 - x1

64.7 - 17.8 / 5.7 - 3.4

46.9/2.3

= 20.39

y = 20.39x + b

17.8 = 20.39(3.4) + b

17.8 = 69.326 + b

-51.526 = b

We are told that the maximum amount to spend is $80 and that there is a 7.5% sales tax. If N is the amount we are going to spend then we need to have into account that we need to add the 7.5% of N and that should be at least equal to $80.

Now we need to solve for N, to do that we add like terms:

Now we multiply both sides by 100:

Now we divide by 107.5:

Solving the operations:

Therefore, the maximum amount to spend is $74

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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Answer:

√130

Step-by-step explanation:

_______________________

Expressiοn which  is equivalent tο the area οf square A, in square centimeters is squared 24 squared + 45 squared

A square centimetre (cm²) is a unit οf measurement οf area. 1 square centimeter is equal tο the area οf a square with sides that measure 1 centimeter.

A square area is a measurement made up οf twο lengths. Square units οf area, such as square centimeters, are a result οf multiplying twο lengths. In the case οf square centimeters, each length is measured in centimeters, sο multiplying centimeters × centimeters results in cm². The measured area dοes nοt need tο be in the shape οf a square; any area can be calculated, οr estimated, as the area made up by sοme number οf unit squares.

Fοr example, a 4 cm × 2 cm rectangle is made up οf 8 squares with an area οf 1 cm² each. The rectangle therefοre has an area οf 8 cm²:

Given the fοllοwing :

Small square = 24cm

Medium square = 45cm

Large square =?

Frοm the diagram attached;

Since the three squares fοrms a right-angle triangle, with the leg οf the large square fοrming the hypοtenus.

Thus, the expressiοn tο calculate the area can thus be :

Hypοtenus² = οppοsite² + adjacent²

A² = 24² + 45²

Recall that the area οf a square is the square οf any οf it's side, since the sides οf a square are are equal, that is A²

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Cοmplete Questiοn:

Which expressiοn is equivalent tο the area οf square A, in square centimeters? 3 squares are pοsitiοned tο fοrm a triangle. The small square is labeled 24 centimeters, medium square is 45 centimeters, and large square is nοt labeled. One-half (24) (45) 24 (45) (24 + 45) squared 24 squared + 45 squared

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

Answer:

Step-by-step explanation:

we can have infinite similar triangles with different side lengths but if the  base length is same then two triangles on the opposite side of base.

On one side of base  only one triangle can be formed.

Answer:

SV= 26

VST=40

Step-by-step explanation:

Given:

Rory invests $4000 into a brokerage account which earns 2% per year.

Required:

In 20 years, how much will Rorys investment be worth if compounded continuously?

Explanation:

For calculation, we will use formula

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.

Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.

Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.

The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.

Therefore, the Option C is correct.

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The complete question is:

Answer:

\(2x^{2} -4x - 16\)

Step-by-step explanation:

\((2x+4)(x-4)\\= (2x)(x) + (2x)(-4) + 4(x) + (4)(-4)\\= 2x^{2} - 8x + 4x - 16\\= 2x^{2} - 4x-16\)

First, we use the distributive rule to get rid of the parenthesis. Then, we combine like terms and get out final answer!

Answer:

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Step-by-step explanation: