George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

Answers

Answer 1

Answer: The answer is 38 peas per pod

228÷6 = 38

Glad to help you :)

Answer 2

Answer:

Final answer:

By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.

Explanation:

This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.

So, 228 peas ÷ 6 peas/pod = 38 pods.

Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.

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Which is equivalent to 3 square root 8^1/4x
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Enter the values of x, y, and z. The diagram is not to scale.
What value of x makes the equation x^3=64 true?

Determine which type of correlation is shown in the graphed relationship

Answers

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

In ∆ABC, c=5.4, a= 3.3 and M less than A =20. What are the possible approximate length of b? Use the laws of sines to find answer 2.0 units and 4.6 units
2.1 units and 8.7 units
2.3 units and 7.8 units
2.6 units and 6.6 units

Answers

The Law of Sines tells you

... sin(C)/c = sin(A)/a

... sin(C) = c·sin(A)/a . . . . multiply by c

... C = arcsin(c·sin(A)/a) . . take the inverse sine

Then

... sin(B)/b = sin(A)/a . . . . law of sines again

... b = a·sin(B)/sin(A) . . . . multiply by a·b/sin(A)

where B = 180° - A - C = 160° - C . . . . . . sum of angles in a triangle is 180°

Filling in the given values, we get

... C = arcsin(5.4·sin(20°)/3.3) ≈ 34.033° or 145.967°

Then

... B = 125.967° or 14.033°

and

... b = 3.3/sin(20°)·sin(125.967°) or 3.3/sin(20°)·sin(14.033°)

... b = 7.8 or 2.3 . . . units

The appropriate choice is

... 2.3 units and 7.8 units

Answer:

C)2.3 units and 7.8 units

Step-by-step explanation:

5 Which situation can be modeled by Diagram A andwhich can be modeled by Diagram B?
Diagram A:
Which
addition
models
subtrac
100% of x
1096 10% 10% 10% 10% 1096 1096 1096 1096 1096
80% of x
20% of x
Diagram B:
120% of
10% 10% 1096 1096 10% 10% 10% 10% 10% 1096 10% 10%
100% of x
2096 of x
a.
Your bill at a restaurant is $68 and you want to leave
a 20% tip. What is the total amount you will leave?
b. You buy a sweater that is on sale for 20% off of the
original price. The sweater cost $28. What was the
original price?

Answers

Answer:

Step-by-step explanation:

Find the exact values of the six trigonometric functions of given the point (-4, 5) on the terminal side of in standard position.

Answers

Answer:

$\sin(\theta)=5√(41)/41\text{ and } \csc(\theta)=√(41)/5\n\cos(\theta)=-4√(41)/41\text{ and } \sec(\theta)=-√(41)/4\n\tan(\theta)=-5/4\text{ and } \cot(\theta)=-4/5$

Step-by-step explanation:

Please refer to the attached figure.

So, we can see that our angle θ is in QII.

Recall All Students Take Calculus. Since this is QII, we use the Students. In other words, only sine (and cosecant) is positive. So, cosine and tangent are negative.

Now, we also know that a point is (-4,5). Referring to our figure, this means that our adjacent side is 4 (technically -4, but we can ignore this) and our opposite side is 5. So, to find the other ratios, let's find the hypotenuse.

Use the Pythagorean Theorem:

$a^2+b^2=c^2$

Substitute 4 for a and b for 5. Solve for c. So:

$4^2+5^2=c^2$

Square:

$16+25=c^2$

Add:

$c^2=41$

Take the square root:

$c=√(41)$

So, our side lengths are: Opposite=5; Adjacent=4; and Hypotenuse=√41.

Now, we can find our side lengths.

Sine and Cosecant:

$\sin(\theta)=opp/hyp$

Substitute 5 for Opp and √41 for Hyp. So:

$\sin(\theta)=5/√(41)$

Rationalize:

$\sin(\theta)=5√(41)/41$

Since our angle is in QII, sine stays positive.

Cosecant is the reciprocal of sine. So:

$\csc(\theta)=√(41)/5$

Cosine and Secant:

$\cos(\theta)=adj/hyp$

Substitute 4 for Adj and √41 for Hyp:

$\cos(\theta)=4/√(41)$

Rationalize:

$\cos(\theta)=4√(41)/41$

Since our angle is in QII, cosine is negative. So:

$\cos(\theta)=-4√(41)/41$

Secant is the reciprocal of cosine. So:

$\sec(\theta)=-√(41)/4$

Tangent and Cotangent:

$\tan(\theta)=opp/adj$

Substitute 5 for Opp and 4 for Adj. So:

$\tan(\theta)=5/4$

Since our angle is in QII, tangent is negative. So:

$\tan(\theta)=-5/4$

Cotangent is the reciprocal of tangent:

$\cot(\theta)=-4/5$

And we are finished!

Final answer:

Using the given point (-4,5) in standard position, first calculate the radius using the Pythagorean theorem. Then, calculate each of the six trigonometric functions using the coordinates and the calculated radius.

Explanation:

The given point is (-4,5). In the standard position, the x-coordinate represents the cosine of the angle, while the y-coordinate represents the sin of the angle. However, we need to find the radius (r), which can be found using Pythagorean theorem:

r = sqrt(x

+ y

)

meaning, r = sqrt((-4)

+ 5

) = sqrt(41).

Now, each of the six trigonometric functions can be calculated as follows:

Sine (Sin θ = y/r): Sin θ = 5/sqrt(41),
Cosine (Cos θ = x/r): Cos θ = -4/sqrt(41),
Tangent (Tan θ = y/x): Tan θ = -5/4,
Cosecant (Csc θ = r/y): Csc θ = sqrt(41)/5,
Secant (Sec θ = r/x): Sec θ = -sqrt(41)/4,
Cotangent (Cot θ = x/y): Cot θ = 4/5.

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Write the ratio 41 to 100 as a percent

Answers

Answer:

$41\%$

Step-by-step explanation:

we have the ratio

$(41)/(100)$

To write as percent, multiply the ratio by 100

$(41)/(100)*100=41*100/100=41\%$

Move the digits in 625,134 to create anew number.

Move the 2 so it is worth 1o as much.

Move the 3 so it is worth 10 times as

much.

Move the 5 so it is worth 50,000.

Move the 4 so its value changes to

4 X 100,000.

Move the 1 and the 6 so that the sum of

their values is 16.

write the new number

Answers

Answer:

a. The new number created is 265,134.

b. The new number created is 625,314.

c. The new number created is 652,314.

d. The new number created is 462,513.

e. The new number created is 253,416.

Step-by-step explanation:

Note: The first question is not correctly and fully stated. It is therefore restated as the questions are answered as follows:

a. Move the 2 so it is worth 10 as much.

From 625,134, the 2 implies 20,000.

If we move the 2 so it is worth 10 as much, it implies that 20,000 is multiplied by 10 and the answer is as follows:

20,000 * 10 = 200,000

The answer implies that 2 becomes the first number and the new number created from 625,134 is as follows:

The new number created is 265,134.

b. Move the 3 so it is worth 10 times as much.

From 625,134, the 3 implies 30.

If we move the 3 so it is worth 10 as much, it implies that 30 is multiplied by 10 and the answer is as follows:

30 * 10 = 300

The answer implies that 3 becomes the fourth number and the new number created from 625,134 is as follows:

The new number created is 625,314.

c. Move the 5 so it is worth 50,000.

This implies that 5 becomes the second number and the new number created from 625,134 is as follows:

The new number created is 652,314.

d. Move the 4 so its value changes to 4 X 100,000

This implies that 4 is now 400,000 and it now becomes the first number. The new number created from 625,134 is as follows:

The new number created is 462,513.

e. Move the 1 and the 6 so that the sum of their values is 16.

This implies the one becoms 10 and the 6 becomes just 6.

As a result, this implies that the 1 now becomes the fifth number and the 6 now become the last number. The new number created from 625,134 is now as follows:

The new number created is 253,416.

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