Given that m || n, what must be true of the two lines? Check all that apply.
Line mand line n have different slopes.
Line m and line n have different y-intercepts.
The lines have the same steepness.
Eventually the lines will intersect.
Line m and line n lie on the same plane.

The number of expected double crossover progeny when multiply by the total number of progeny is 47.

When chromosomal pieces are swapped out twice, it is known as a double crossover. In the case of a double crossing, the two ends of the chromosome are still parental, but another sister chromatid sequence has "swapped" into the space between the crossovers;

When homologous chromosomes are combined, crossovers happen.

Chromatids from various chromosomes can be aligned. Exchange chromatids from, for example, segments a collision between two identical chromosomes occurs at an similar spot along their respective lengths. they are After swapping the segments, the chromatids have split between the point of contact and the chromatids' tips.

We have,

number of double crossovers is 0.305 x 0.155 x 1000

so 0.305 x 0.155 x 1000 = 47

So number of expected double crossover progeny is 47.

Test cross:

Progeny whithered wing smooth body and speck body

Genetic distance between sm and sp is 15.5

15.5 = 2x + 33 /1000 x 100

155 = 2x + 33

2x = 155-33

x = 122/2

x = 61.

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An equation of a line can be written by using the standard form of the equation of line y = mx + b,

What is the equation of a line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

An equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that is perpendicular to another line, you will need to find the negative reciprocal of the slope of the original line.

For example, suppose you have a line with the equation y = 3x + 2.

The slope of this line is 3, so the slope of a line that is perpendicular to it would be the negative reciprocal of 3, which is -1/3.

The equation of the perpendicular line would be y = -1/3x + b, where b is the y-intercept.

To find the y-intercept of the perpendicular line, you can plug in the coordinates of a point on the original line into the equation of the perpendicular line.

For example, if you know that the original line passes through the point (4, 14), you can substitute these values into the equation y = -1/3x + b to find the value of b.

This gives you the equation -1/3x + b = 14, so b = 14 + 1/3x.

Substituting x = 4 gives you b = 14 + 1/3(4) = 14 + 4/3 = 18/3, so the equation of the perpendicular line is y = -1/3x + 18/3.

Hence, An equation of a line can be written by using the standard form of the equation of line y = mx + b,

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Answer:

B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)

Answer: $770

Step-by-step explanation:

Number of units to be purchased by Alicia:

= 200,000 / 1,000

= 200 units

Alicia is purchasing a 5-year term life insurance policy. At age 30, the cost per $1,000 unit of insurance is $3.85 for a female.

The formula for the annual premium is:

= Number of units purchased * Premium per $1,000

= 200 * 3.85

= $770

Answer:

1261.1 revolutions

Step-by-step explanation:

Given

\(d = 16in\) --- the diameter

\(Distance = 5280ft\)

Required

The number of revolution completer

First, calculate the circumference (c) of the tire

\(c = \pi d\)

\(c = 3.14 * 16\)

\(c = 50.24\)

Let the number of revolutions be n.

The product of n and the circumference equals to the total distance travelled.

So:

\(c * n = 5280 ft\)

\(50.24in* n = 5280 ft\)

Make n the subject

\(n = \frac{5280 ft}{50.24in}\)

Convert feet to inch

\(n = \frac{5280 *12in}{50.24in}\)

\(n = \frac{63360in}{50.24in}\)

\(n = \frac{63360}{50.24}\)

Solve for n

\(n = 1261.14649682\)

Approximate

\(n = 1261.1\)

Answer:

The answer is A

Step-by-step explanation:

Trust me bro

The inequality equation is mathematically given as |x + 2| < 3. Then the correct option is A.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

The value of x is greater than negative five and less than one that can be represented as

-5 < x < 1

Add 2 on each side, then we have

-3 < x + 2 < 3

Then operate the mode function, then we have

|x + 2| < 3

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Answer:

Decimal: 2.65   Percentage: 265 %

Step-by-step explanation:

Answer:

2.65 is the answer you just round to 6 decimal place

The proof by contrapositive of the theorem is "For every real number x, if x is rational, then -3x - 8 is rational."

Assume x is rational, meaning x can be expressed as a ratio of two integers a and b, where b is not equal to zero. Thus, x = a/b.

We want to prove that -3x - 8 is rational. Substituting x = a/b, we get -3(a/b) - 8 = (-3a - 8b)/b.

Since a and b are integers, -3a and 8b are also integers. Thus, the numerator (-3a - 8b) is an integer.

We know that a/b is rational, so b is not equal to zero. Therefore, (-3a - 8b)/b is a ratio of two integers and is therefore rational.

Thus, we have shown that if x is rational, then -3x - 8 is rational, which is the contrapositive of the original theorem.

Therefore, the original theorem is true since its contrapositive is true.

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Answer:

135°

Step-by-step explanation:

You want QRT. So if you look at it you have a straight line, which equals 180°. you already have an angle at 45° so all you do is 180-45 and that equals 135°

Answer:

the first one

Step-by-step explanation:

In the other 2 i can see the x repeats itself meaning it isn't a function.

Answer:

Hi

Step-by-step explanation:

So

The simplest polynomial with the given roots will be equal to x⁴ + 5x² - 36.

A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and raising non-negative integers to power, together with uncertainty and coefficients. x² + 4x + 7 is an illustration of a single indeterminate x polynomial.

The total of terms with the pattern \(kx^n\) forms a polynomial. Where n is indeed a positive number and k is any number. For instance, the polynomial 3x + 2x - 5 exists.

As per the given information in the question,

The given roots are 3i, -2, 2

As we know that if 3i is a root then -3i is also a root.

Then, the factored form of this polynomial will be:

p(x) = (x - 3i)(x + 3i)(x + 2)(x - 2)

= (x - (3i)²) (x² -2x + 2x - 4)

It will become: (x² + 9)(x² - 4)

It can be further expanded,

x⁴ - 4x² + 9x² - 36

x⁴ + 5x² - 36

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Our calculated t-value of -5.88 is less than the critical t-value of 2.201, we have sufficient evidence to reject the null hypothesis that there is no difference in the mean time until remission between the two treatments.

To determine whether there is a significant difference in the mean time until remission for the two treatments, we can use an independent t-test.

First, we need to calculate the mean difference between the two groups:

Mean difference = mean time until remission for treatment 1 - mean time until remission for treatment 2

= 154 days - 162 days

= -8 days

Next, we need to calculate the standard deviation of the difference:

Standard deviation of difference = √((standard deviation for treatment 1²/sample size for treatment 1) + (standard deviation for treatment 2²/sample size for treatment 2))

= √(7²/13 + 6²/9)

= √(49/13 + 36/9)

= √(3.77 + 4)

= 2.86

Now that we have the mean difference and standard deviation of the difference, we can calculate the t-value:

t-value = (mean difference)/(standard deviation of difference/√(sample size for treatment 1 + sample size for treatment 2))

= (-8)/(2.86/√(13 + 9))

= (-8)/(1.36)

= -5.88

Finally, we need to find the critical t-value from a t-table using the appropriate degrees of freedom (13-1=12 for treatment 1 and 9-1=8 for treatment 2) and alpha level (typically 0.05). For a two-tailed test (assuming we are interested in whether there is any difference in mean time until remission between the two treatments), the critical t-value at an alpha level of 0.05 is 2.201.

Since our calculated t-value of -5.88 is less than the critical t-value of 2.201, we have sufficient evidence to reject the null hypothesis that there is no difference in mean time until remission between the two treatments. This means that we can conclude that there is a significant difference in mean time until remission between the two treatments. However, we cannot determine which treatment is more effective based on this test alone. Additional analysis would be needed to determine the direction of the difference and whether one treatment is more effective than the other.

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Answer:

\( \infty \infty \infty \infty \infty \)

Answer:

Step-by-step explanation:

\(\frac{6}{h}=\frac{h}[14}\\84=h^{2}\\h=\sqrt{84}\)

So, by the Pythagorean theorem,

\(a^{2}=14^{2}+(\sqrt{84})^{2}\\a^{2}=280\\a=\boxed{2\sqrt{70}}\)

Answer:

(x-2)(x-1)

Step-by-step explanation:

Answer:

(x-2)(x-1)

Step-by-step explanation:

\(x^{2} -3x+2\\\\(x-2)(x-1)\)

Hector and Gabrielle will have $638.45 in their savings account after two years of earning 13% interest compounded annually. They will be able to spend up to this amount on their trip.

To solve this problem, we need to use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)\)

where:

A = the final amount

P = the initial deposit

r = the annual interest rate as a decimal

n = the number of times interest is compounded per year

t = the time in years

In this case, we have:

P = $500.00

r = 13% = 0.13 (as a decimal)

n = 1 (compounded annually)

t = 2 years

So, we can plug these values into the formula:

A = $500.00(1 + 0.13/1)²

A = $500.00(1.13)²

A = $500.00(1.2769)

A = $638.45

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The solution is, the simplification of 1-|0.2-(m-3)+1/4|=0 is m = 2.45.

We know that,

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

1-|0.2-(m-3)+1/4|=0

or, 1 = |0.2-(m-3)+1/4|

or, 1 - 1/4 = 0.2-(m-3)

or, 3/4 = 0.2-(m-3)

or, m-3 = -0.55

or, m = 2.45

Hence, The solution is, the simplification of 1-|0.2-(m-3)+1/4|=0 is m = 2.45.

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Answer:

D. x^2-x-9-12/x-2

Step-by-step explanation:

We can use synthetic division to divide (x^3 - 3x^2 - 7x + 6) by (x - 2). First, we set up the division as follows:

    2 |   1   -3   -7    6

       |______2___-2__-18

       | 1   -1   -9  -12

The numbers on the bottom row of the synthetic division table represent the coefficients of the quotient polynomial. Therefore, the quotient is x^2 - x - 9, and the remainder is -12.

So, we have:

(x^3 - 3x^2 - 7x + 6) / (x - 2) = x^2 - x - 9 + (-12 / x - 2)

Therefore, the correct option is D: x^2 - x - 9 - 12/(x - 2).

Answer:

music test

Step-by-step explanation:

divide each one and find the highest answer.

Answer:

3500 - 10% = 3150 rupees

Step-by-step explanation:

the customer will pay 3150 rupees

Answer:

2nd option -66.1 + 55.6

Step-by-step explanation:

When you subtract a negative it's the same as just adding. It's like a double negative means a positive. 2 minus signs kind of cancel each other out.

The constant of proportionality of the table is 15. The equation is y = 15x.

We need the Boxes of candy and the pieces of candy to know the slope or rate.

The table is a proportional table. Proportional relationships are relationships between two variables where their ratios are equivalent.  

A proportional relationship can be represented in the from as follows:

y = mx

where

x = boxes of candy

y = pieces of candy

Let's use one of the point on the table.

(10, 150)

Therefore,

y = mx

150 = 10m

divide both sides by 10

m = 150 / 10

m = 15

Therefore,

y = 15x

We need the boxes of candies and pieces of candy to know the rate.

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The correct hypothesis for a one-sample z-test for a population proportion p for germination is p <0.9

A hypothesis is an informed estimate about the solution to a scientific issue that is supported by sound reasoning. It is the expected result of the trial, though it is not evidence in an experiment. Depending on the information collected, it might be supported or might not be allowed at all.

The material provided indicates that the following is the appropriate theories for a one-sample z-test for a population proportion where H0 is p = 0.9 and H1 <0.9. Thus, at the null hypothesis, it is tested if the germination rate is actually of 90%, that is H = 0.9 and at the alternative hypothesis, it is tested if the germination rate is of less than 90%, that is H1 <0.9.

Complete Question:

The germination rate is the rate at which plants begin to grow after the seed is planted. A seed company claims that the germination rate for their seeds is 90 percent. Concerned that the germination rate is actually less than 90 percent, a botanist obtained a random sample of seeds, of which only 80 percent germinated. What are the correct hypotheses for a one-sample z-test for a population proportion p ?.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Answer:

3

Step-by-step explanation:

Because you have three groups, the answer is three.