Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).

y equals negative one-fourth times x minus 7
y equals negative one-fourth times x plus 2
y = 4x + 24
y = 4x + 36

Answers

Answer 1

The equation the line perpendicular to the line given is y = -x/4+2

What is slope?

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).

The equation of general line is; y = mx+c, where m is the slope.

We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.

Therefore, the slope of the asked line is -1/4

Finding for c,

4 = -1/4x(-8)+c

c = 4-2

c = 2

Therefore, equation will be; y = -x/4 +2

Hence, The equation the line perpendicular to the line given is y = -x/4+2

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Related Questions

When a drawing is drawn in the scale ratio of 5/1 then the drawing is said to be in?

Answers

Draw a drawing in the scale factor of 5 / 1 then drawn drawing is said to be in ratio and get enlarge 5 times to the scale drawing.

As given in the question,

Given scale ratio is equal to 5 / 1.

Let us consider scale drawing is in the scale ratio of 1cm  : 3m

It means we have

consider 3m as 1 cm to draw a scale drawing.Original drawing is larger than the scale drawing.While doing the enlargement we have to multiply each length to the scale factor. Scale drawing is consider as the sample of the large or the original drawing.

Therefore, scale factor of 5 / 1 used to draw a drawing is said to be in ratio to  enlarge or small the given picture.

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Select all the equations that have no solution.

Answers

The equation that has no solutions are:

x + 6 =  5 + x

5 - 3x = -3x + 4

Options A and E are the correct answer.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x + 6 =  5 + x

6 = 5

Which is not equal.

So,

It has no solutions.

-2(x - 3) = -2x + 6

-2x + 6 = -2x + 6

This has many solutions.

4 - 4x = 3x + 2

4 - 2 = 3x + 4x

2 = 7x

x = 2/7

This has one solution.

4(x + 1) = 3(x + 2)

4x + 4 = 3x + 6

4x - 3x = 6 - 4

x =  2

This has one solution.

5 - 3x = -3x + 4

5 - 4 = -3x + 3x
1 = 0

This has no solutions.

Thus,

x + 6 =  5 + x and 5 - 3x = -3x + 4 are the equations that have no solutions.

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the rationale underlying the use of projective personality tests, such as the rorschach test and the thematic apperception test, is that they

Answers

The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.

The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.

The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.

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Solve the following system of equations. Show your work.
−2x+5y=−2

4x−10y=4

Solution:

Answers

There are an infinite number of solutions to the system of equations 2x + 5y = - 2 and 4x - 10y = 4.

What does a system of equations' graphical solution look like ?

The intersection locations of all the aforementioned equations can be found using graphic solutions to a system of equations.

Only when the equations have an intersection point can a system of two or more equations be solved.

According to the given information

A set of equations including

4x - 10y = 4 and 2x + 5y = - 2... (ii).

Now, when we multiply equation(i) by 2, we get

- 4x + 10y = - 4. (iii).

Adding (ii) and (iii) now gives us,

0x + 0y = 0.

Since 0 = 0, these coincident lines have an infinite number of solutions.

There are an infinite number of solutions to the system of equations 2x + 5y = - 2 and 4x - 10y = 4.

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Identify the initial amount a and the rate of decay r (as a percent) of the exponential function y=575(1-0.6)^t. Evaluate the function when t=3 . Round your answer to the nearest tenth.

Answers

The required simplified value of the function when t= 3  is y = 36.8.


To Identify the initial amount a and the rate of decay r (as a percent) of the exponential functionⁿ.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
[tex]y=575(1-0.6)^t[/tex]
put t = 3
y=575(1-0.6)³
y = 36.8

Thus, the required simplified value of the function when t= 3  is y = 36.8.

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PLEASE HELP ME!! I will give the brainiest

Answers

Answer:

It is a

Step-by-step explanation:

You are welcome.

ok so its just 1/125 I posted a comment about it by accident can you pick me as brainiest :>

Edit bro it took out my one it said 1/25

Ok so like i just saw it doesnt have 1/125 its 1/5^3

Letter a

:D

Pick me please! :>

How do you dilate a figure with a center of dilation?

Answers

Add the scale factor to the x- and y-coordinates of a point on a coordinate plane with the center of dilatation at the origin.

Given,

Dilation;

Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

We have to dilate a figure with a center of dilation;

Dilations centered at the origin;

On the coordinate plane, figures can be enlarged. The centre of dilatation is frequently used to be the origin. The points in the picture can be found by multiplying the coordinates of the preimage's points by the scale factor when distorting a figure that is centered at the origin.

That is,

On a coordinate plane with the center of dilatation at the origin, multiply the point's x and y coordinates by the scale factor.

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whats 29 divided 5123

Answers

By using the concept of division, it can be calculated that-

29 [tex]\div[/tex] 5123 = 0.00566

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

Here,

29 divided 5123 means

29 [tex]\div[/tex] 5123

Now,

29 [tex]\div[/tex] 5123 = 0.00566

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Add J St. middle school 25% of eight graders wear glasses is 100 students wear glasses how many eighth graders are there in total

Answers

Answer:

There are 400 Students.


How much should you deposit at the end of each month in
an IRA that pays 5% compounded monthly to earn
$110,000 per year from interest alone, while leaving the
principal untouched, to be withdrawn at the end of each
year after you retire in 50 years?
i Click the icon to view some finance formulas.
The monthly deposit is $
(Round up to the nearest dollar.)

Answers

Answer:

  $824.39

Step-by-step explanation:

You want to know the monthly deposit required for a 50-year ordinary annuity to accumulate enough value at 5% so that annual withdrawals can be made of $110,000 without affecting the principal.

Future value

In order for the annual interest to be $110,000 at 5%, you have ...

  I = Prt

  110,000 = P(0.05)(1)

  2,200,000 = P . . . . . . . multiply by 20

The value of the annuity must be $2.2M after 50 years.

Payment

In order for the annuity to have that future value, the monthly payment must be $824.39. This value can be found using a suitable financial calculator or spreadsheet. (Or the appropriate formula from your list.)

A point located at (−4, 4) is rotated 180° about the origin. Which of the following shows the coordinates of the point’s new location?

Answers

The image of (- 4, 4) by rotation is equal to (4, - 4).

How to find the image of a given point as a result of a rotation

In this problem we get the coordinates of the point and we are asked to find the coordinates of its image by rotation about the origin. The rotation rule is described below:

x' = x · cos θ - y · sin θ

y' = x · sin θ + y · cos θ

Where:

θ - Angle of rotation, in degrees.x, y - Coordinates of the original point.x', y' - Coordinates of the image.

First, write the coordinates of the point:

P(x, y) = (- 4, 4)

Second, use the rotation formula to find its image:

x' = - 4 · cos 180° - 4 · sin 180°

x' = 4

y' = - 4 · sin 180° + 4 · cos 180°

y' = - 4

The point (4, - 4) is the image by rotation of the point (- 4, 4).

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How do you write an equation in slope intercept form for a parallel line?

Answers

Parallel slope intercept form is a form of linear equation that describes a line parallel to a given line with slope m.

The equation for a line parallel to the line with equation y = mx + b is y = mx + b + c, where c is any constant.

1. Start with the equation of the original line in slope-intercept form, y = mx + b

2. To make a parallel line, add a constant c to the y-intercept, so the equation is y = mx + b + c

3. That's it! You now have an equation for a parallel line in slope-intercept form.

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Explain the difference in the process of solving exponential equations where both sides can be written as power of the same based and solving exponential equations where both sides can not be written as powers of the same base.

Answers

Answer:

In an exponential equation, both sides can be written as power of the same base when the base is the same on both sides of the equation. For example, the equation "2^x = 8" can be rewritten as "2^x = 2^3" because the base, 2, is the same on both sides of the equation.

To solve an exponential equation where both sides can be written as powers of the same base, you can set the exponents equal to each other and solve for the variable. In the example above, setting the exponents equal to each other would give us "x = 3", so the solution is x = 3.

On the other hand, in an exponential equation where both sides can not be written as powers of the same base, you cannot simply set the exponents equal to each other. Instead, you need to use a different method to solve the equation. One way to do this is to use the property of exponents that states that "a^x * a^y = a^(x+y)" to rewrite the equation so that both sides have the same base. For example, the equation "2^x * 3^y = 6" can be rewritten as "2^x * 2^(log3(6)) = 2^(x + log3(6))", where "log3" represents the logarithm with base 3. This allows us to set the exponents equal to each other, giving us "x + log3(6) = 1", and we can solve for x to find the solution.

What is the best Square-1?

Answers

The Square-1 is a Cubic twisty puzzle.

It is similar to the 3x3 Rubik's cube, but due to the way the pieces are cut and designed can shapeshift. It is even governed by the WCA, and uniquely the only shapeshifting puzzle in the WCA.

It's probably the hardest WCA puzzle to learn how to solve due to the restrictions in its turning and its unique design.Square-1 became an official WCA event in 2007. It is a shape-shifting puzzle with a middle slice that you can use to interchange pieces.

X-Man Volt has long been the best square-1 on the market. However, Yu-Xin has rolled out a new budget square-1, which is fully magnetic.

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What is the greatest common factor of ​64xyz−36xy 24x ?

Answers

greatest common factor = 4x

What is GCF?

The biggest positive integer m that divides both x and y is the GCF of two or more non-zero integers, x, and y. The GCF stands for greatest common factor. In this case, greatest can be changed to highest, and factor to divisor. The highest common factor is often referred to as the biggest common factor, highest common factor, or highest common divisor (GCD).

[tex]64xyz=2^{6}*x*y*z\\ 36xy=2^{2}*3^{2} *x*y\\24x=2^{3}*3*x[/tex]

greatest common factor = [tex]2^{2} *x[/tex]

greatest common factor = 4x

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Please help I'm confused

Answers

Answer: 11

Step-by-step explanation:

I think sorry

Answer:

9

Step-by-step explanation:

What is the equation of the straight line which passes through the point 1 2?

Answers

The equation of the line that passes through the point (1,2) is y = 2x – 1with slope 1.

Using the point-slope form of the equation of a line, we can write the equation of a line that passes through the point (1,2) as:

y - 2 = m(x - 1)

Since the slope of the line is m, we can set m = 1 and solve for y:

y - 2 = 1(x - 1)

y - 2 = x - 1

y = x - 1 + 2

y = 2x – 1

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the population standard deviation for the number of corn kernels on an ear of corn is 94 kernels. if we want to be 90% confident that the sample mean is within 17 kernels of the true population mean, what is the minimum sample size that should be taken?

Answers

If we want to be 90% confident that the sample mean is within 17 kernels of the true population mean then the minimum sample size that should be taken is 83.

Given:

the population standard deviation for the number of corn kernels on an ear of corn is 94 kernels.

if we want to be 90% confident that the sample mean is within 17 kernels of the true population mean

what is the minimum sample size that should be taken = ?

population standard deviation (σ) = 94

margin of error (E) = 17

for 90% confidence interval Zα/2 = 1.645

formula:

sample size (n) = [ zα/2 × σ/E]²

sample size (n) = [1.645×94/17]²

sample size (n) = 82.7

sample size (n) ≈ 83

Hence we get the required answer.

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PLEASE ANSWER ASAP WILL GOVE BRAINLIEST TO CORRECT ANSWER!!!

Select each situation that can represent a proportional relationship.

The price of buying x avocados at $4 a pound

The total amount a taxi driver earns who charges a base price of $3 plus an additional $1 per mile for m miles

The total amount of toys a child earns when he earns two toys a week for W weeks

The total amount a garden urns who charges a one time fee of $10 plus $15 an hour for gardening r hours


Answers

Option A and C have a proportional relationship.

What is proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

(a) Total cost of buying x avocados be p

 So, p = 4x

(b) Let the total amount a taxi driver earns be y

So, y = 3 + m

(c) Let the total number of toys be x

So, x = 2w

(d) Let the total amount a Gardner earns be c

So, c = 10 + 15r

Hence, option A and C have a proportional relationship.

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the length of a rectangle is 4 less than twice the width. if the perimeter is 40, what is the area of the rectangle?

Answers

Answer: The area is 12

Step-by-step explanation:

P=2l+2w

We are given, 

P=40in

l=2w-4

Plug these into the first formula and solve for the dimensions,

length and width, of the rectangle:

 40=2(2w-4)+2w       Simplify

40=4w-8+2w

40=6w-8

48=6w

8=w OR the width is 8 in, therefore, 

the length is

l=2(8)-4

l=12 sq in

l= area

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in a standardized exam the mean score is 400 with a standard deviation of 50. if a random sample of 25 students is selected , what is the standard deviation of the sampling distribution of the sample mean ?

Answers

Standard deviation of the sampling distribution of the sample mean is 50.

We were asked to determine the mean of the sampling distribution of the sample mean. The mean score for a standardized exam is 400, the standard deviation is 50, and we have a random sample of 25 students. You take a sample of 25 students in total. You will obtain a sample average of X after averaging that sample. Take 70 student samples, then compute the mean.

The sampling distribution of the sample mean is the term used to describe how the mean varies from sample to sample. The question being posed here is, what is the mean of the sampling distribution of sample means?

Regardless of how the population distribution is shaped, the mean of sample averages is always the same as the mean of the population.

The sample mean is 400.

The spread of a data distribution is measured by standard deviation. The average distance between each data point and the mean is measured. Whether the data is being treated as a population unto itself or as a sample of a larger population will affect the standard deviation calculation formula.

So standard deviation of sample mean is also same as it is for random sample that is 50.

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52
Find the volume of the figure
(2 Points)
24 ft
9 ft
15 ft
12 ft
10 ft

Answers

I think it is 558 cubic feet

Answer: the volume of the figure is 792 ft³

Step-by-step explanation:

The volume of a shape V consists of the volume of a prism V1 and

the volume of the pyramid V2

9²+12²=15²

81+144=225

225≡225

Hence, figure base is а right triangle

So, V=V1+V2

[tex]\displaystyle\\V1=\frac{12*9}{2} *10\\\\V1=6(9)(10)\\\\V1=540\ ft^3\\[/tex]

[tex]\displaystyle\\V2=\frac{1}{3}(\frac{12*9}{2} )(24-10) \\\\V2=\frac{12(9)(14)}{6} \\\\V2=252\ ft^3[/tex]

[tex]V=540+252\\\\V=792\ ft^3[/tex]

What are the 5 different equations of lines?

Answers

Various linear equations in different forms are : horizontal and vertical line equations, An equation for a line in point-slope form, Linear equation in two-point form, the line's slope-intercept form equation, intercept form 

and standard form.

1) Equation of a Vertical Line : x = k , where k is a constant.

2) Equation of a Horizontal Line: y = k , where k is a constant.

3) Form of a Point Slope: y - y1 = m (x - x1).

If the slope m and a point (x1, y1) through which the line travels are known, the point-slope form is helpful.

4) Form of the slope-intercept, y = mx + b

If the slope m and the y-intercept (0, b) are known, the slope-intercept form is helpful.

5) Standard form: a x + b y = c , where a, b and c are constants.

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find the slope of the line that passes through the 2 given points.
( -6 , 2 ) and ( -5 , -2 )

Answers

Answer:

( -4 , 1 )

Step-by-step explanation:

Answer: -4

(Hope I'm correct :D )

Step-by-step explanation:

Easy, let's start with what we know to find the slope. To find the slope you do:

(y2-y1)/(x2-x1)

For this equation then, we do:

(-2 - 2)/ (-5 - (-6)) Which simplifies to:

-4/1

= -4

So the slope is -4.

The vertices of a triangle are A(2,5) B(1,2) and C(3,1). Find the coordinates of the image after a rotation 90° clockwise about the origin.

Answers

Answer:

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

When we reflect a point (x,y) over x-axis, we get (x,-y)

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

The chart above shows how 50 people responded when asked what their favorite meal of the day was. If 50% of respondents preferred dinner and 10 of the respondents preferred breakfast, what fraction of people preferred lunch?
(I NEED THE ANSWER PLSSSS SUM ONE HELPP MEE)

Answers

The fraction of people that preferred lunch is of:

30%.

How to obtain the fraction?

The three options are given as follows:

Dinner.Breakfast.Lunch.

The sum of the fractions of each of these options is of:

100%.

10 of the respondents preferred breakfast, and there were 50 people, hence the fraction that preferred breakfast is of:

10/50 x 100% = 20%.

Then the fractions in this problem are given as follows:

Dinner: 50%. -> given in the problem.Breakfast: 20%. -> calculated.Lunch: x. -> missing

Thus the missing fraction, which is the fraction of people that prefer lunch, is obtained as follows:

50 + 20 + x = 100

70 + x = 100

x = 30%.

(as the sum of the three fractions is of 100%, as they represent all the possible outcomes).

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The school play sold $897 in tickets one night. The number of $8 adult tickets was 15 more than twice the number of $5 child tickets. How many of each ticket were sold?
Input your answer on the following lines.

Answers

Answer:Child ticket sold = 30

Adult ticket sold = 50

Total ticket sold = 80

Step-by-step explanation:

The 2015 General Social Survey, a comparison of females and males on the number of hours a day that the subject watched TV gave the following results. Group n Mean
Females 503 3.14
Males 395 2.90
(a) Set up the hypotheses of a significance test to analyze whether the population means differ for females and males.
H0: μ1 μ2
Ha: μ1 μ2 (b) Conduct all parts of the significance test if df=502 and standard error=0.163. Interpret the P-value, and report the conclusion for α=0.05.
t=(3 decimal places, positive value) P-value=(3 decimal places) (c) Conclusion - There is not enough evidence to conclude that there is a gender difference in TV watching.
- There is evidence that females, on average, watch more TV than males. - There is evidence to conclude that there is a gender difference in TV watching. (d) If you were to construct a 95% confidence interval comparing the means, would it contain 0? - Yes, because according to the test 0 is a plausible value for the difference between the population means. - No, because according to the test 0 is a plausible value for the difference between the population means. - No, because according to the test 0 is not a plausible value for the difference between the population me - Yes, because according to the test 0 is not a plausible value for the difference between the population means.

Answers

After a comparison of females and males on the number of hours of a day that the subject watched the TV.

The hypotheses of a significance test to analyze whether the population means differ for females and males would be as follows:

(a) H0: μ1 = μ2 (the population means are equal for females and males)

Ha: μ1 ≠ μ2 (the population means are not equal for females and males)

(b) In order to conduct the significance test, we would need to calculate the t-statistic and the P-value. However, the question does not provide the necessary information to do so (e.g. sample means, standard deviations, sample sizes). Without this information, we cannot conduct the significance test and interpret the P-value.

(c) Without conducting the significance test, we cannot conclude anything about whether there is a gender difference in TV watching.

(d) Similarly, without conducting the significance test and calculating the confidence interval, we cannot determine whether the confidence interval would contain 0 or not.

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An object moving at speed s for time t travels distance st. Dale and his dog walked for 1.25 hours at a speed of 4 miles per hour.
How far did Dale and his dog walk?
Write your answer as a whole number or decimal.
how many miles

Answers

Dale and his dog walk for 5 miles.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given:

Dale and his dog walked for 1.25 hours at a speed of 4 miles per hour.

Since,

Distance = Speed x time

Here, speed = 4 miles per hour and

time is 1.25 hours

So,

Distance = 4 x 1.25

Distance = 5 miles

Hence, Dale and his dog walk for 5 miles.

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What is the slope-intercept equation of the line below?

Answers

Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

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We'd better get that checked out to beon the safe side."ad hominemcircular reasoningred herringHasty generalization which of these nfl teams has a cheerleading squad? a. new york jets b. cleveland browns c. pittsburgh steelers d. green bay packers A certain parasite is introduced to both areas. This parasite generally infects only one species of tree while the others remain unharmed. Which area would be more likely to survive if this parasite were to be introduced to the population? Why? if the demand is , a fall in price total revenue. question 18 options: a) elastic; decreases b) elastic; increases c) inelastic; increases d) inelastic; does not change What does it mean to dilate a rectangle? Thermal energy moves from an area of. Matter to an area of matter Psychological disorders consist of emotions, behavior, and cognitive processes that are all of the following except: _________a. maladaptive. b. dysfunctional. c. that they interfere with daily functioning d. immoral . Read the following biographies:Biography A "Marie Tharp grew up in the 1930s, wanting to be a surveyor like her father. Although she helped him in his work, women werent welcome in the sciences, so she went to music school instead and waited for a chance. When colleges emptied of men during World War II, she was allowed to get a geology degree and then another in mathematics. "She wanted to investigate the ocean depths, but women werent allowed on research ships. So she waited again, this time in a basement office, for her male colleagues to send back data. Working slowly and precisely, she turned those numbers into the most detailed map of the sea floor ever made. "Marie wanted her colleagues to understand that her depictions of sea floor geography were powerful evidence for the theory of continental drift, but they dismissed it as 'girl talk.' It took almost a decade for her work to be accepted. Shed wait many more years to get full credit.Biography B "Rosalind Franklin decided she wanted to be a scientist when she was still a teenager, but her father didnt believe in higher education for women. She eventually did enroll in the University of Cambridge, but when she graduated in 1941, women were not considered full members of the college and were ineligible for higher-degree awards. "She went on to conduct groundbreaking work exploring the structure of DNA using x-ray photographs. Although her work was excellent and her research was published in major scientific journals, she had to fight against lower pay and slower promotions than her male peers. At times, others in the lab treated her more as an assistant than a fellow scientist. Franklin also had difficulties collaborating with her colleagues because women were not allowed in the university dining rooms or clubs where theories were shared and debated over meals and drinks. "Franklin continued her work regardless, capturing the first clear images of DNA in what were later called 'the most beautiful X-ray photographs of any substance ever taken.' Before she could publish her results, however, a male scientist in her lab showed her photographs to two rival researchers, James Watson and Francis Crick. Watson and Crick used what they saw in Franklins photos to help them develop their famous model of the double helix of DNA. They were hailed all over the world for their discovery and received a Nobel Prize for it. Rosalind Franklin received a small footnote in their paper."What is the common theme of both biographies?A Most men did not want their daughters to become scientists.B Scientists used to steal research from one another in order to get ahead.C Women made good scientists because they were patient and worked hard without complaining.D Women often struggled for acceptance in scientific fields. Briefly describe one major difference between sinns and pfaelzers historical interpretations of immigration to the pacific coast of the united states during the 1850s and 1860s. which term means using your knowledge and training to perform your responsibilities to the best of your ability at all times? I need to find the measure of the arc or angle indicated and assume that the lines that appear to be tangent are tangent the following four graphs (figure 16.15 a, b, c, and d) display the number of customers in a queuing system (y-axis) over a long period of time (x-axis). which of the following is most likely a stable system? when explaining the difference between anxiety and fear, the mental health nurse shares what? select all that apply.