BRAINLIEST to whoever gets this correct! Factor the expression below.
16x^2-1

A. (2x - 1)(8x - 1)
B. (4x - 1)(4x-1)
C. (2x - 1)(8x+1)
D. (4x - 1)(4x+1)​

Answers

Answer 1

Answer:

D. (4x - 1)(4x + 1)​

Step-by-step explanation:

16 is a perfect square, with its two identical factors being 4. 1 is also a perfect square, with its two factors being 1, but in this case, it's a -1, so we need a positive 1 and a negative 1:

(4x + 1) (4x - 1)


Related Questions

A deli receives a large order for sandwiches for a company picnic. The company wants one club sandwich and two regular sandwiches for each person. The company also wants an extra Dagwood sandwich. A club sandwich has $3$ slices of bread. A regular sandwich has $2$ slices. A Dagwood has $5$ slices.

If there are $n$ people going to the company picnic, how many slices of bread does the deli need to make this order? Write your answer as a fully simplified expression. Your answer should have the variable $n$ in it exactly once.

Answers

Answer:

:P

Step-by-step explanation:

What is Napoleon Bonapart?

Answers

Answer:

Napoleon Bonapart was a French statesman and military leader who rose to prominence during the French Revolution and also led several successful campaigns during the French Revolutionary Wars. He was Emperor of the French as Napoleon I from 1804 until 1814 and again briefly in 1815 during the Hundred Days. Napoleon dominated European and global affairs for more than a decade while leading France against a series of coalitions in the Napoleonic Wars. He won most of these wars and the vast majority of his battles, building a large empire that ruled over much of continental Europe before its final collapse in 1815. He is considered one of the greatest commanders in history, and his wars and campaigns are studied at military schools worldwide. Napoleon's political and cultural legacy has endured as one of the most celebrated and controversial leaders in human history.

Consider the estimated equation from Example 4.3, which can be used to study the effects of skipping class on college GPA: 2 colGPA 1.39 .412 hsGPA .015 ACT .083 skipped (.33) (.094) (.011) (.026) n 141, R2 .234. (i) Using the standard normal approximation, find the 95% confidence interval for hsGPA. (ii) Can you reject the hypothesis H0: hsGPA .4 against the two-sided alternative at the 5% level

Answers

Answer:

Step-by-step explanation:

1) The confidence interval is calculated as the following

[tex]CI = ( \bar x-1.96 \sigma ,\bar x=1.96 \sigmam)[/tex]

[tex]= (0.412-1.96 \times 0.094, 0.412 = 1.96 \times 0.094)\\\\= (0.22776, 0.59624)[/tex]

Hence, the confidence interval is [tex]0.22776 \leq \beta_G_P_A \leq 0.59624)[/tex]

11) Under two sid t-tailed test, the null hypothesis

[tex]H_0; \beta_{GPA}=0.4[/tex]

Against the alternative hypothesis

[tex]H_1 ; \beta _{GPA} \neq 0.4[/tex]

Under null hypothesis

[tex]t = \frac{\hat \beta _1 - \beta _1}{Se( \beta _1)} \\\\ =\frac{0.412-0.4}{0.094} \\\\=0.12766[/tex]

The degree of freedom is n - 1 = 140

From the t - table at 5% level of significance under two - tail is 1.96

Since , calculated value is lowe than the tabulated value, we do not reject the null hypothesis.


Find the missing height.
units Plss help​

Answers

Answer:

6

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = 5*h

30 = 5h

Divide each side by 5

30/5 =5h/5

6 =h

The formula for the area of a parallelogram is A = bh.

Since we know the parallelogram has an area of 30 units and a height of 5 units, we can plug this information into the formula to get 30 = 5h.

Now, dividing both sides of the equation by 5, we find that 6 = h.

So the height of this parallelogram is 6 units.

Line parallel to the y-axis that passes through the point (77,88)

Answers

Answer:

A line which is parallel to the y-axis has form of x = a

This line passes (77, 88), then a = 77

=> The equation of this line: x = 77

Hope this helps!

:)

Dove for x in the diagram below.

Answers

The answer would be five because it is a 90° angle and 50% is taken up which means the other part is 40%. 40÷8 is five

se x vale 3 quanto vale 2x​

Answers

Answer:

6

Step-by-step explanation:

x=3

2x = 2(3) = 6

How large is the largest button in the jar ? , is this an statistical question ?

Answers

Need more info than that

At 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?

Answers

Answer: Per 1/2 an hour it is changes by 5 so the constanT rate would be: 5 inches per 1/2 an hour

The daily exchange rates for the​ five-year period 2003 to 2008 between currency A and currency B are well modeled by a normal distribution with mean 1.832 in currency A​ (to currency​ B) and standard deviation 0.044 in currency A. Given this​ model, and using the​ 68-95-99.7 rule to approximate the probabilities rather than using technology to find the values more​ precisely, complete parts​ (a) through​ (d). ​a) What would the cutoff rate be that would separate the highest 2.5​% of currency​ A/currency B​ rates?

Answers

Answer:

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1.832

Standard deviation = 0.044

Top 2.5%

95% of the measures are within 2 standard deviation of the mean.

Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.

The 97.5th percentile is the cutoff for the highest 2.5% of currency​ A/currency B​ rates, and it is 2 standard deviations above the mean.

1.832 + 2*0.044 = 1.92

The cutoff rate that would separate the highest 2.5​% of currency​ A/currency B​ rates is 1.92.

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the volume of a can of beans with a height of 20 cm. and a radius of 12 cm? Use 3.14 to approximate π. Express your answer in hundredths.

Based on the above math problem fill in the numbers for the known values. Notice the units are provided, so ONLY enter the number.

Answers

Answer:

9043.20

Step-by-step ex planation:

V=π[tex]r^2[/tex]h

V= π [tex](12)^2[/tex] (20)

V=2880(π=3.14)

V=9043.2 and in hundreths that would be 9043.20

Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m

Answers

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

NEED HELP NOW!! PLEASE

A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest tenth of a foot, between home and second base?

Answers

127 feet between home and second

Im a parent for a 5th grader and don't remember this, plz help?
Again,
Josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use? How can I help him understand this problem.

Answers

Answer:

90 cm.

Step-by-step explanation:

One airplane propeller needs 18 centimetres of wood.

Josh wants to make 5 of them.

So, we would have to take the '18' centimetres of wood and multiply by 5 to get the total for all 5 pieces.

[tex]\text{Number of Propellers} * 18 \text{ Centimetres}[/tex]

[tex]5 * 18 = 90[/tex]

Josh should need 90 centimetres of wood total to make 5 airplane propellers.

So since josh wants to make 5 airplane propellers and he would need 18 centimeters of wood for each propeller. He would need 90cm of wood. When I was younger I would just add. For this problem I would just do this. 18+18+18+18+18=90. I would suggest doing this if your child isn’t very good a multiplication. I’m sorry if this is wrong or something it’s been 7 years since I have been to the 5th grade.

Answer=90

Determine whether the equation is always sometimes or never true 2/3x+4=2x

Answers

Answer:

true

Step-by-step explanation:

x=3

The value of the variable x is 3. Then the equation is always true.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given below.

(2/3)x + 4 = 2x

Simplify the equation, then the value of x will be

2x + 12 = 6x

4x = 12

x = 3

The value of the variable x is 3. Then the equation is always true.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.

Answers

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Let's look at the answer choices:

A: "A Is congruent to B and B Is congruent to C"

Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.

B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"

Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.

C: "Each triangle is a right triangle."

Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.

D: "Each triangle is an isosceles triangle."

This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.

The answer is thus A.

Answer:

First one:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Since B is obtained by translating A, it has the same measure angles and sides as A, hence B is congruent to A

C is obtained by reflecting B, which doesn't alter the measure of sides and angles, so C is congruent to B

Therefore by transition, C is congruent to A

Rewrite as a simplified fraction.
0.1 with the 1 repeating

Answers

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9} =0.111111111111111111[/tex]

sam has 356 stuffed animals all of wich are either cats or eliphants the number of elephants he owns is 17 more than twice the number of cats.

how many of each type of stuffed animal does he own.

Answers

Answer:

113 cats243 elephants

Step-by-step explanation:

If Sam subtracts 17 elephants from his collection, he has 339 stuffed animals that are 2/3 elephants and 1/3 cats.

The number of cats is 339/3 = 113.

The number of elephants is 356 -113 = 243 = 2·113 +17.

Sam has 113 cats and 243 elephants.

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.

Answers

Answer:

-2 & 1/3

Step-by-step explanation:

When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.

2 and 1/3 hope this helps have a good day

Which sequence of transformations produces an image that is not congruent to the original figure?

A. A reflection across the x axis followed by a rotation of 180 counterclockwise

B. A translation of 6 units to the left followed by a reflection across the x-axis

C. A rotation of 90° clockwise followed by a translation of 4 units to the left

D. A translation of 4 units to the left followed by a dilation of a factor of 3

Answers

Answer:

  D. A translation of 4 units to the left followed by a dilation of a factor of 3

Step-by-step explanation:

Of the transformations, rotation, reflection, translation, dilation, the first three (rotation, reflection, translation) are known as "rigid" transformations. They do not change the shape or size of the object. Any result of a rigid transformation is congruent to the original.

Dilation, by its nature, changes the size of the object, so the result is NOT congruent to the original.

Choice D includes dilation, so the image is not congruent to the original.

Which of the following explains the cause of the seasons changing on Earth?



The rotation of the Earth and sun.



The tilt of the axis of Earth and orbit of Earth around the sun.



The orbit of the Earth around the sun and rotation of the Earth.



The orbit of the Earth around the sun and rotation of the sun.

Answers

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

 Incorrect

The tilt of the axis of Earth and orbit of Earth around the sun.

 Correct, seasons change because Earth tilts on its axis, and the angle of tilt causes the Northern and Southern Hemispheres to trade places throughout the year in receiving the sun's light and warmth most directly

The orbit of the Earth around the sun and rotation of the Earth.

 Incorrect

The orbit of the Earth around the sun and rotation of the sun.

Incorrect

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Can anyone help me with this?​

Answers

Answer:

35 yards

Step-by-step explanation:

20yd+15yd

you add 20yd and the 15yd and that is your area.

A researcher is interested in whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. He classifies participants into three transportation groups (those who: bike/walk, take public transit or drive) and asks them how they typically feel on a normal Monday morning: happy/excited, angry/irritated, or sleepy. Data from his survey on 200 participants are presented below.
Happy Angry sleepy Total
Bike/Walk 20 7 13 40
Public transit 13 5 42 7
Drive 17 18 65 100
Total 50 30 120 200
You would like to test his question of whether or not there is any association between normal method of transportation taken to work and reported mood at the beginning of a typical Monday morning. Calculate a two variable chi-square test using an alpha (α) level of 0.01.
You will use the information above to complete the question parts below for a two variable chi-square test.
Part A: Which of the following represents the appropriate null hypothesis(H0), given your research question of interest?
Part B: Which of the following represents the appropriate alternative hypothesis (H1), given your research question of interest?
Part C: What is your degrees of freedom (df)?
Part D: What is the critical chi-square value (from the Chi-square table) appropriate for your test, testing at an alpha level (α) of 0.01?
Part E: What is your calculated chi-square statistic?
Part F: What is your decision about the null hypothesis based on your test results?

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

What is the area of the triangle

Answers

Answer:

A. 6 inchesssssssss

Answer:

6

Step-by-step explanation:

what is the perimeter of a parallelogram with length 26cm , 24cm and base 25cm?

Answers

Answer:

Step-by-step explanation:

P=2(a+b)

2(26+25)

=102 ans

Answer:

102 cm

Step-by-step explanation:

P=2(a+b)

P = 2(26+25)

= 2 * 51

= 102

Theater tickets cost $16 for general admission or $9 with a student ID.
Total ticket sales for a certain showing was $4983. Write an equation
in standard form that shows the possible number of general
admission tickets, x, and student tickets, y, that were sold. Then, find
the total number of student tickets sold if 240 were general
admission tickets.​

Answers

Answer:

127 student tickets

Step-by-step explanation:

16x + 9y = 4983

x = 240, so substitute that in.

16(240) + 9y = 4983

3840 + 9y = 4983, substract 3840 from both sides

9y = 1143, then divide both sides by 9

y = 127 student tickets

Answer: 16x + 9y = 4983

240 general admission tickets and 127 student tickets

Step-by-step explanation: If you already know that there are 240 general admission tickets and general admission tickets cost 16 dollars the multiply 16 times 240 to get 3840

then subtract 4983 - 3840 to get 1143 which is the money earned on students so now divide 1143 by 9 to get 127

hope this helps mark me brainliest if it did

Let P(-6,4) be a point on a rectangle PQRS. What are the coordinates of P if the rectangle is dilated by a scale factor of 3/8?

Answers

Answer:

  (-2.25, 1.5)

Step-by-step explanation:

If dilation is about the origin, each of the coordinates is multiplied by the dilation factor:

  P' = (3/8)P = 3/8(-6, 4) = (-18/8, 12/8)

  P' = (-2.25, 1.5)

A yearbook staff has 30 members. In how many different ways can an editor, photographer, designer, and advisor be selected?

Answers

Answer: 657,720

Step-by-step explanation:

If each person can have only one role, we have that:

For the Editor selection we have 30 possible options

for the pothograper we have 29 options, because we already selected one

for the designer we have 28 options

for the advisor we have 27 options

the total number of combinations is the product of the options for each selection;

C = 30*29*28*27 = 657,720

A television show tests the abilities of alleged psychics by presenting contestants with a set of
4
44 cards placed upside down,
1
11 of which has a star printed on it. Each contestant attempts to identify which card has the star on it for a series of
50
5050 trials.
Assuming that the contestants are purely guessing, what are the mean and standard deviation of the number of trials where the contestant guesses correctly?

Answers

Answer:

The mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

Step-by-step explanation:

Total number of cards presented to the contestants, N = 4.

Number of cards that has a star printed on it is, x = 1.

The probability of selecting the correct card is:

[tex]P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

It is provided that each contestant attempts to identify which card has the star on it for a series of n = 50 trials.

Each trial's outcome is independent of other outcomes.

The success of each trial is denoted by the correct selection of the card with a star.

The random variable X can be explained by the Binomial distribution.

So, X follows a Binomial distribution with parameters n = 50 and p = 0.25.

The mean and standard deviation of a Binomial distribution are:

[tex]\text{Mean}=np\\\\\text{SD}=\sqrt{np(1-p)}[/tex]

Compute the mean and standard deviation of the number of trials where the contestant guesses correctly as follows:

[tex]\text{Mean}=np=50\times 0.25=12.50\\\\\text{SD}=\sqrt{np(1-p)}=\sqrt{50\times 0.25\times (1-0.25)}=3.062[/tex]

Thus, the mean and standard deviation of the number of trials where the contestant guesses correctly are 12.50 and 3.062.

[tex]N = 4[/tex] is the overall number of points distributed to the contestant, [tex]x = 1[/tex] reflects the number of decks with a star on them. The probability of selecting the correct card is as follows:

         [tex]\to P(X)=\frac{x}{N}=\frac{1}{4}=0.25[/tex]

For a total of n = 50 trials, each competitor must determine whichever card has the star on it.The result of each trial is different from the results of the others.A proper selection of a card with such a star shows the success of each trial.The Binomial distributions can account for such a random value of x, As a result, X has a binomial distribution having values [tex]n = 50[/tex] and [tex]p = 0.25[/tex].The Binomial distribution does have the following mean and standard deviation:

         [tex]\to \text{Mean =np}\\\\\to \text{SD}=\sqrt{np(1-p)}\\\\[/tex]

Determine the mean difference of the number of tests where the contender correctly guesses:

         [tex]\to \text{Mean =np}= 50 \times 0.25= 12.5\\\\[/tex]

             [tex]\to SD=\sqrt{np(1-p)}[/tex]

                        [tex]=\sqrt{50 \times 0.25 \times (1-0.25)}\\\\=\sqrt{50 \times 0.25 \times (0.75)}\\\\= \sqrt{12.5 \times 0.75}\\\\=\sqrt{9.375}\\\\=3.061[/tex]

As just a result, the standard deviation of the number most right guesses by the competitor are [tex]12.50 \ \ and\ \ 3.061[/tex], correspondingly.

Learn more about the contestant guesses:

brainly.com/question/1302166

Ivan needs gas for his truck. He knows his truck holds 20 gallons of gas. His gas can does not measure gallons, though. It measures pints. How many times will he have to fill up his gas can to get his truck full of gas?

Answers

Answer: 160 times

Step-by-step explanation:

The answer is 4 times

Welcome hope it worked
Other Questions
Create a program that generates a report that displays a list of students, classes they are enrolled in and the professor who teaches that class. There are 3 files that provide the input data: 1. FinalRoster.txt : List of students and professors ( S: student, P: professor) Student row: S,Student Name, StudentID Professor row: P, Professor Name, Professor ID, Highest Education 2. FinalClassList.txt: List of classes and professor who teach them (ClassID, ClassName, ID of Professor who teach that class) 3. FinalStudentClassList.txt: List of classes the students are enrolled in. (StudentID, ClassID) The output shall be displayed on screen and stored in a file in the format described in FinalOutput.txt You will need to apply all course concepts in your solution. 1. Student and Professor should be derived from a super class "Person" 2. Every class should implement toString method to return data in the format required for output 3. Exception handling (e.g. FileNotFound etc.) must be implemented 4. Source code must be documented in JavaDoc format 5. Do not hard code number of students, professors or classes. Submit source Java files, the output file and screenshot of the output in a zip format Help! I don't know how to do this! I will mark Brainliest! wildfires spread in areas that are wet, cold, dry, snowy, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi. Choose the correct phrase to complete the sentence.Branch Rickey selected Jackie Robinson as the player to desegregate baseball because he wasknown as a tough man who would fight against racism.known as a meek man who would never challenge racist actions or people.known as a strong man who would handle racism with dignity. CORRECT ANSWER GETS MARKED BRAINLIEST!Read the excerpts from Team Moon and the NASA article.But now, because the landing was taking far longer than planned, the fuel was almost gone. Mission Control wanted Neil to take as much time as he needed and fly the LM as near empty as possible only because they wanted him to make the landing. But if he ran out of fuel above the surface, in all likelihood the LM would crash onto the moon.When it comes time to set Eagle down in the Sea of Tranquility, Armstrong improvises, manually piloting the ship past an area littered with boulders. 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When asking questions to parents about a childs challenging behavior, teachers are looking for routine causes and ________. Which statement best explains the relationship between the land and the immigrants? Because of the difficult life on the prairie, the strong become stronger, and the weak become weaker. Because the land has minimal effects on the people living there, very few people have cause to change. The prairie destroys the lives of most of the people living there. Living on the prairie changes the personalities of the people who come there, turning them into different types of people. A box below needs to be painted. How many square inches of paint will be needed to cover the entire surface?A80/12 in2 B61/9 in2 C49/5 in2 D77/55 in2 The average temperature of the atmosphere in the world is approximated as a function of altitude by the relation Tatm=288.156.5z where Tatm is the temperature of the atmosphere in K, and z is the altitude in km with z = 0 at sea level. Determine the average temperature of the atmosphere outside an airplane that is cruising at an altitude of 12600 m. The average temperature of the atmosphere outside an airplane is Altering photographs was part of Joseph Stalins effort topurge those who threatened him.censor the Communist Party.persecute visual artists.change historical facts. A 100 Hz wave and a 200 Hz wave travel through the same medium. Which wave has the longer wavelength? Why? Which one travels at a greater speed? ?is a group of people who live together and share responsibilities and resources. What are three examples of goods and three examples of services? _ is (are) the type of electromagnetic wave(s) with a wave length between 700 and 400 billionths of a meter. Anderson Steel Company began 2018 with 550,000 shares of common stock outstanding. On March 31, 2018, 140,000 new shares were sold at a price of $50 per share. The market price has risen steadily since that time to a high of $55 per share at December 31. No other changes in shares occurred during 2018, and no securities are outstanding that can become common stock. However, there are two agreements with officers of the company for future issuance of common stock. Both agreements relate to compensation arrangements reached in 2017. The first agreement grants to the company president a right to 42,000 shares of stock each year the closing market price is at least $53. The agreement begins in 2019 and expires in 2022. The second agreement grants to the controller a right to 47,000 shares of stock if she is still with the firm at the end of 2026. Net income for 2018 was $5,200,000. Required: Compute Anderson Steel Company's basic and diluted EPS for the year ended December 31, 2018. (Enter your answers in thousands.) Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.What is the volume of the composite figure? Express the answer in terms of .144 mm3168 mm3312 mm3456 mm3 The identification and analysis of illegal substances such as drugs takes place in the _____.DNA laboratorytoxicology laboratorycourt roomhospital laboratory The Finland woman refuses to give Gerda something to helpher save Kay because she knows thatthere is no way for Kay to be saved.Gerda's strength comes from within herself.the reindeer has to share his powers with Gerda.the Snow-queen must take away the glass splinters fromKay.