In his study of pea plants, Gregor Mendel used which method to produce offspring?a.cross-pollination, by using parents that had identical traits
b.cross-pollination, by using parents that had different traits
c.self-pollination, by using one parent
d.random pollination, by using both identical- and different-trait matings

Answers

Answer 1

Answer: In his study of pea plants, Gregor Mendel used Cross-pollination method to produce offspring.Therefore the answer is b.cross-pollination, by using parents that had different traits. The traits of two different organism can be seen in the microscope.

Answer 2

Answer:

we know that

Gregor Mendal used a process of cross-pollination,by using parents that had different traits in his experiment with pea plants. He was studying the difference between tall and short pea plants, and how genes were expressed differently between the two, so this method of cross-pollination was vital in order to accurately recreate how this process would happen within nature.

therefore

the answer is the option

b.cross-pollination, by using parents that had different traits

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Solve x2 + 20x + 100 = 36 for x.a. x = –16 or x = –4
b. x = –10
c. x = –8
d.x = 4 or x = 16

Answers

x² + 20x + 100 = 36⇒ x² + 20x + 100 - 36 = 0⇒ x² + 20x + 64 =0

Δ = b²-4ac = 20² -4·1·64 = 400-256 = 144

x₁= (-b+√Δ)/2a = (-20+√144)/2·1 = (-20+12)/2 = -8/2 = -4
x₂= (-b-√Δ)/2a = (-20-√144)/2·1 = (-20-12)/2 = -32/2 = -16

x=-4 or x=-16

The solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = (-b \pm√(b^2-4ac))/(2a)$

We have an quadratic equation:

x² + 20x + 100 = 36

$\rm x^2+20x+64=0$

a = 1, b = 20, and c = 64

$\rm x_(1,\:2)=(-20\pm √(20^2-4\cdot \:1\cdot \:64))/(2\cdot \:1)$

After solving:

x = 4 or x = -16

Thus, the solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

Learn more about quadratic equations here:

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I REALLY NEED HELP PLEASE The measures of three line segments are given in each set Which set of line segments cannot form a triangle? 0 23.2 m, 58.6 m, 72.1 m O 45.2 m, 45.3 m, 45.4 m 0 20.8 m, 34.5 m, 54.2 m 0 12.6 m, 18.1 m, 30.9 m

Answers

Answer:

The Answer is D

Step-by-step explanation:

K12

Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.Solve the problem by writing an inequality.

If the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the height h of the frame be?

Answers

Answer:

The height must be less than 64in.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

P=2*W+2*H

Where

P : Perimeter

W: Width

H: Length

So the for a perimeter less the 180in.

180>2*26+2*H

180>52+2H

180-52>2H

128>2H

H<64

So the height must be less than 64in.

If the perimeter of a rectangular picture frame must be less than 180 in., and the width is 26 in., what must the height h of the frame be?

James is looking into life insurance. He currently makes $50,000 a year and has two children, ages 15 and 11. How much coverage and how long a term of life insurance would you recommend to James?

Answers

The coverage amount is $500,000

The recommended term of life insurance is 10-year term.

Based on the information given i would recommend insurance coverage amount of $500,000 and a term of life policy of 10-year term.

James will need a coverage amount of $500,000 until the two children are financial independent and can cater for themselves.

Using a long term policy of 10 years term of life insurance is recommended as the older will be 25 years and the youngest will be 21 years by then.

Coverage insurance amount:

Insurance coverage=Salary× Term of life

Insurance coverage=$50,000×10 year

Insurance coverage=$500,000

Inconclusion:

The coverage amount is $500,000

The recommended term of life insurance is 10-year term.

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Step-by-step explanation:

If James wants to cover both of his children at his current salary until they both can support themselves on their own, he would need a 10-year term policy (if the youngest moves out when he/she is 21) with a face value of $500,000 (current salary-$50,000*10 years).

Here are 10 test scores: 50, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 76. How does removing the outlier 50 affect the mean?A.
The set has 50 as an outlier and removing it decreases the mean by about 6.

B.
The set has 50 as an outlier and removing it decreases the mean by about 2.

C.
The set has 50 as an outlier and removing it increases the mean by about 3.

Answers

The answer is C.
The set has 50 as an outlier and removing it increases the mean by about 3.

Since 50 is significantly smaller number than all others, it is expected that removing 50 will increase the mean.
The first mean is 76:
$X_(1) = (50+74+76+77+78+79+80+80+82+84)/(10) = (760)/(10) =76$

The mean after removing 50 is:
$X_(2) = (74+76+77+78+79+80+80+82+84)/(10) = (710)/(90) =78.89<span>$
X₂ ≈ 79

The difference between the second and the first mean is 79 - 76 = 3, thus
removing 50 as an outlier increases the mean by about 3.

What is the slope of the line that passes through (3'-7)(-1'1)

Answers

Answer:

Slope of line passing through (3,-7) and (-1,1) = -2

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $(y_2-y_1)/(x_2-x_1)$

Here points are given by (3,-7) and (-1,1)

So we have (x₁,y₁) = (3,-7) and (x₂,y₂) = (-1,1)

Slope $=(1-(-7))/((-1)-3)=(8)/(-4) =-2$

Slope of line passing through (3,-7) and (-1,1) = -2

To solve for slope. Remember that slope, m= (change in y)-(change in x). So that means m= (y2-y1)/(x2-x1). Putting in the values we get (1--7)=(1+7)/(-1-3)= (8)/(-4)= -2. So m, or slope is -2.

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