These two triangles are congruent by the Hypotenuse-Leg Theorem.

These Two Triangles Are Congruent By The Hypotenuse-Leg Theorem.

Answers

Answer 1

Answer:

[tex] y = - 2 [/tex]

Step-by-step explanation:

Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:

[tex] x - y = x + 2 [/tex] , and [tex] 2x - y = 4x + 2y [/tex]

Using the expression, [tex] x - y = x + 2 [/tex], solve for y:

[tex] x - y - x = x + 2 - x [/tex]

[tex] - y = 2 [/tex]

[tex] y = - 2 [/tex]


Related Questions

A school is holding a raffle to raise money to buy new books for the library. The school plans on awarding 18, $200 prizes, 120 $25 prizes and 270 $5 prizes. Is $10 enough to charge per ticket if they only sell 1000 tickets?

Answers

Answer:

Yes

Step-by-step explanation:

18 × 200 = 3600

120 × 25 = 3000

270 × 5 = 1350

in total 7950

tickets = 10 × 1000 = 10000

7950 < 10000

which of the following greatest
6+(-2)
6-(-2)
6×(-2)
6+(-2)​

Answers

Out of
4
8
-12
4

8, or 6-(-2) is greatest

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 7.2 to 4.5

Answers

Answer:

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Given

7.2 : 4.5 ← multiply both parts by 10

= 72 : 45 ← divide both parts by 9

= 8 : 5

= [tex]\frac{8}{5}[/tex]

Let A and B be any two sets. Show that:
Show that (
AUB)', (BUA)' = 0​

Answers

Step-by-step explanation:

(AUB)' means they are all outside the set A and B so thats 0. Hope it helps

Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was 400400400 meters below sea level. When she arrived in Amman 222 hours later, her altitude was 100010001000 meters above sea level. Let yyy represent Nour's altitude (in meters) relative to sea level after xxx hours.

Answers

Answer:

y = 700x - 400

Step-by-step explanation:

A negative number represents an altitude below sea level.

Beginning: -400

y = mx + b

y = mx - 400

In 2 hours the altitude was now 1000 m.

1000 m - (400 m) = 1400 m

The altitude went up 1400 m in 2 hours. The rate of change is

1400/2 m/h = 700 m/h

The rate of change is the slope.

y = 700x - 400

Answer:

The graph answer is below :)

Step-by-step explanation:

One way to calculate the target heart rate of a physically fit adult during exercise is given by the formula h=0.8( 220−x ), where h is the number of heartbeats per minute and x is the age of the person in years. Which formula is equivalent and gives the age of the person in terms of the number of heartbeats per minute?

Answers

Answer:

The answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

Step-by-step explanation:

Given:

[tex]h=0.8( 220-x )[/tex]

Where [tex]h[/tex] is the heartbeats per minute and

[tex]x[/tex] is the age of person

To find:

Age of person in terms of heartbeats per minute = ?

To choose form the options:

[tex]A.\ x=176-h\\B.\ x=176-0.8h\\C.\ x=-1.25h+220\\D.\ x=h-0.8220[/tex]

Solution:

First of all, let us have a look at the given equation:

[tex]h=0.8( 220-x )[/tex]

It is value of [tex]h[/tex] in terms of [tex]x[/tex].

We have to find the value of [tex]x[/tex] in terms of [tex]h[/tex].

Let us divide the equation by 0.8 on both sides:

[tex]\dfrac{h}{0.8}=\dfrac{0.8( 220-x )}{0.8}\\\Rightarrow \dfrac{1}{0.8}h=220-x\\\Rightarrow 1.25h=220-x[/tex]

Now, subtracting 220 from both sides:

[tex]\Rightarrow 1.25h-220=220-x-220\\\Rightarrow 1.25h-220=-x[/tex]

Now, multiplying with -1 on both sides:

[tex]-1.25h+220=x\\OR\\\bold{x = -1.25h+220}[/tex]

So, the answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

PLEASE HELP ! (2/4) - 50 POINTS -

Answers

Answer:

The correct answer would be 15.5 or C.

Yesssssssssssssssssssss

A random sample of size 100 is taken from a population described by the proportion p = 0.60. The probability that the sample proportion is less than 0.55 is ________.

Answers

Answer:hope it helps

Step-by-step explanation:

Result:

0.6

Enlarge

Customize

Plain Text

Number line:

Number line

Rational form:

3/5

In a zoo there are 6 orang-utans for every 3 baboons. There are 27 orang-utans and baboons altogether. How many are orang-utans?

Answers

Answer:

18

Step-by-step explanation:

Okay first we know that for every one baboon there is 2 orang-utans (6 / 3 = 2)

So, I like to play the guess and check:

Lets just use the numbers 12 orang-utans and 6 baboons. We know that those two don't equal 27, so thats not it.

Now we can have 18 orang-utans and 9 baboons. 18 + 9 = 27, which means there are 18 orang-utans.

Hope this helps, and have a good day.

Aaron wants to mulch his garden. His garden is x^2+18x+81 ft^2 One bag of mulch covers x^2-81 ft^2 . Divide the expressions and simplify to find how many bags of mulch Aaron needs to mulch his garden.

Answers

Answer:

Step-by-step explanation:

Given

Garden: [tex]x^2+18x+81[/tex]

One Bag: [tex]x^2 - 81[/tex]

Requires

Determine the number of bags to cover the whole garden

This is calculated as thus;

[tex]Bags = \frac{x^2+18x+81}{x^2 - 81}[/tex]

Expand the numerator

[tex]Bags = \frac{x^2+9x+9x+81}{x^2 - 81}[/tex]

[tex]Bags = \frac{x(x+9)+9(x+9)}{x^2 - 81}[/tex]

[tex]Bags = \frac{(x+9)(x+9)}{x^2 - 81}[/tex]

Express 81 as 9²

[tex]Bags = \frac{(x+9)(x+9)}{x^2 - 9\²}[/tex]

Evaluate as difference of two squares

[tex]Bags = \frac{(x+9)(x+9)}{(x - 9)(x+9)}[/tex]

[tex]Bags = \frac{(x+9)}{(x - 9)}[/tex]

Hence, the number of bags is [tex]Bags = \frac{(x+9)}{(x - 9)}[/tex]

Please answer this correctly without making mistakes

Answers

Answer:

[tex]\large \boxed{\mathrm{1/2 \ boxes}}[/tex]

Step-by-step explanation:

Subtract the fractions.

[tex]\frac{9}{16}-\frac{1}{16}=\frac{8}{16} =\frac{1}{2}[/tex]

Vicky had 1/2 of a box more baking powder yesterday.

What is the intersection of the lines given by 2y=-x+3 and -y=5x+1? Enter the answer as an ordered pair.

Answers

Answer:

(-5/9, 16/9)

Step-by-step explanation:

2y = -x + 3

-y = 5x + 1

To find the intersection, you need to substitute the y-value from the second equation into the first equation.  Rearrange the second equation so that it is equal to y.

-y = 5x + 1

-1(-y) = -1(5x + 1)

y = -5x - 1

Substitute this equation into the y-value of the first equation.

2y = -x + 3

2(-5x - 1) = -x + 3

-10x - 2 = -x + 3

(-10x - 2) + 2 = (-x + 3) + 2

-10x = -x + 5

(-10x) + x = (-x + 5) + x

-9x = 5

(-9x)/(-9) = (5)/(-9)

x = -5/9

Plug this x value into one of the equations and solve for y.

2y = -x + 3

2y = -(-5/9) + 3

2y = 5/9 + 3

2y = 32/9

(2y)/2 = (32/9)/2

y = 32/18 = 16/9

The ordered pair is (-5/9, 16/9).

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps

west and finally 50 steps on a bearing of 3150

.

i. Sketch Musah’s movement​

Answers

Answer:

Step-by-step explanation:

Following the cardinal points as regards location of points, the sketch of Musah's movement can be as what is attached to this answer.

A hockey team is convinced that the coin used to determine the order of play is weighted. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).

1. What is the appropriate test?

2. State the null hypothesis:

3. State the alternative hypothesis:

4. Find the critical value:

5. Calculate the obtained statistic:

6. Make a decision:

7. What does your decision mean

Answers

Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

H0 :p 0.5   against   Ha: p ≠ 0.5

The significance level is approximately 0.05

The test statistic to be used is number of heads x.

Critical Region: First we compute the probabilities associated with X the number of heads using the binomial distribution

Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

We use the cumulative and decumulative column as the critical region is composed of two portions of area ( probability) one in each tail of the distribution. If  alpha = 0.05 then alpha by 2 - 0.025 ( area in each tail).

We observe that P (X≤2) =   0.006461 > 0.025

and

P ( X≥12 ) = 0.006461 > 0.025

Therefore true significance level is

∝=  P (X≤0)+P ( X≥14 ) = 0.000061+0.000061= 0.000122

Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Using the FOIL method, find the product of x - 2 and x - 3 .

Answers

FOIL = first, outside, inside, last
(x - 2)(x - 3)
x^2 -3x - 2x + 6
x^2 - 5x + 6

Answer:

[tex] \boxed{ {x}^{2} - 5x + 6}[/tex]

Step-by-step explanation:

[tex] \mathsf{(x - 2)(x - 3)}[/tex]

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )

[tex] \mathsf{x×x - 3x - 2x - 2 × ( - 3 )}[/tex]

Calculate the product

[tex] \mathsf{ {x}^{2} - 3x - 2x - 2 \times (- 3)}[/tex]

Multiply the numbers

[tex] \mathsf{ {x}^{2} - 3x - 2x + 6 }[/tex]

Collect like terms

[tex] \mathsf{ {x}^{2} - 5x + 6}[/tex]

Hope I helped!

Best regards!

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. Find the dye amount that represents the 9th percentile of the distribution.

Answers

Answer:

4.464 ml

Step-by-step explanation:

Given that:

mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml

The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34

[tex]z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464[/tex]

The dye amount that represents the 9th percentile of the distribution is 4.464 ml

PLEASE ANSWER ASAP!!!!

Question refers to Table in the picture

Use a proportional reasoning statement like the one in the picture to determine how many feet are in 3 miles. Notice that the conversion fact 1 mile = 5,280 feet is written as a ratio in the picture.

A. x = 15,840 feet
B. x = 10,560 feet
C. x = 21,120 feet
D. x = 26,400 feet



any unrelated answer will be reported​

Answers

Answer:

The answer is A 15,840, because 5,280 x 3 is equivalent to A

Answer:

A. x = 15,840 feet.

Step-by-step explanation:

[tex]\frac{5280 feet}{1 mile} =\frac{x feet}{3 miles}[/tex]

[tex]\frac{5280}{1} =\frac{x}{3}[/tex]

1 * x = 5,280 * 3

x = 15,840 feet

So, your answer is A. x = 15,840 feet.

Hope this helps!

f(x) = -3x + 7
What is f (0)?

Answers

f(0) = -3(0) + 7
f(0) = 7

Answer:

f(0) = 7

Step-by-step explanation:

f(x) = -3x + 7

Let x =0

f(0) = -3*0 + 7

f(0) = 7

g A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. a. How many simple events are in the sample space

Answers

Answer:

64

Step-by-step explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64

Karl needs a total of $30 to buy a bike. He has $12. He can earn $6 an hour
babysitting. Which equation can be used to find the number of hours, h, Karl has to
babysit to have the money he needs?

30 - 6h + 12 = 0
6+ n = 12
6 + 12 h = 30
6 h + 12 = 30​

Answers

Answer:

6h + 12 = 30

Step-by-step explanation:

Hence, the equation obtained for number of hours worked is given as  12 + 6h = 30.

How to write a linear equation?

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The total money required is given as $30.

Suppose the number of hours for babysitting be h.

Then, the money earned by doing it is $6h.

And, the total money with Karl is 12 + 6h.

As per the question, the following equations can be written as,

12 + 6h = 30

Hence, the equation for finding the number of hours is given as 12 + 6h = 30.

To know more about linear equation click on,

https://brainly.com/question/11897796

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Question 7
2 pts
Find the value of x and the length of segment AC if point B is between A and C.
AB = 5x, BC = 9x-2, AC = 11x + 7.6
Value of x=
Length of AC is

Answers

Answer: x=3.2     AC= 42.8

Step-by-step explanation:

As point B lies at segment AC      AC=AB+BC

Otherwise we can write the equation

5x+9x-2=11x+7.6

14x-2=11x+7.6

14x-2+2=11x+7.6+2

14x=11x+9.6

14x-11x=11x-11x+9.6

3x=9.6

x=9.6:3

x=3.2

AC= 11*x+7.6= 11*3.2+7.6=35.2+7.6=42.8

For what values of y: Is the value of the fraction 5−2y 12 always greater than the value of 1−6y?

Answers

Answer:

[tex](5 - 2y) \div 12 > 1 - 6y[/tex]

[tex]5 - 2y > 12 - 72y[/tex]

[tex] - 7 > - 70y[/tex]

[tex]7 < 70y[/tex]

[tex]y > 1 \div 10 = 0.1[/tex]

the temperature at which water freezes on the celsius scale is 0 degrees C. It freezes at 32 degrees F on the Fahrenheit scale, write opposites fo these two numbers as integers.

Answers

Answer:

If we have an integer number N, the opposite of N will be:

-1*N = -N.

Then, the opposite of 0°C is:

-1*0°C = 0°C.

The number 0 is it's own opposite.

And for 32F, the opposite is:

-1*32F = -32F

So, while the numbers 0°C and 32F physically represent the same thing (the same temperature), mathematically, they behave differently.

Cesium-137 has a half-life of about 30 years. A) Find the annual decay rate and round final result to 4 decimal places. B) Find the continuous decay rate and round final result to 4 decimal places. C) How long will it take for a 10 gram sample to decay to 1 gram? Round to nearest year and interpret your result with a complete sentence. D) Complete this statement: as x goes to infinity, y goes to ___.

Answers

Answer:

0.02280.0231100 years0

Step-by-step explanation:

The exponential equation for the fraction remaining after x years can be written as ...

  y = (1/2)^(x/30)

A) For x=1, the fraction remaining is ...

  y = (1/2)^(1/30) ≈ 0.97716 = 1 - 0.0228

Of the original amount, 0.0228 decays each year.

__

B) The continuous decay rate is the natural log of the growth factor, so is ...

  ln(0.97716) = -0.0231

The continuous decay rate is 0.0231 of the present amount (per year).

__

C) For y=.10 (1/10 of the original amount) we find x to be ...

  .1 = .5^(x/30)

  ln(.1) = (x/30)ln(.5) . . . . . take the natural log

  30ln(0.1)/ln(0.5) = x ≈ 100 . . . years

It will take 100 years for a 10-gram sample to decay to 1 gram.

__

D) As x goes to infinity, y goes to zero.

_____

The relationship between growth rate and growth factor is ...

  growth factor = 1 + growth rate

When the growth rate is negative, it is called a decay rate.

in the factory 25 men working 26 hour can produce 1300 radios . how manny hours must the same group of men work to produce 450 radios

Answers

Answer:

9 hours

Step-by-step explanation:

Since the group of men remains the same, number of hours is proportional to number of radios.

1300/26 = 450/h

h = 26 * 450 / 1300 = 9 hours

Which of the following is an arithmetic sequence? A.-2, 4, -6, 8, ... B.2, 4, 8, 16, ... C.-8, -6, -4, -2, ...

Answers

Answer:

C. -8, -6, -4, -2, ...

Step-by-step explanation:

An arithmetic sequence increases by the same amount every time through addition or subtraction. There is a common difference.

A: -2, 4, -6, 8, ... If there were a common difference, the numbers would not switch between being positive and back to negative. The numbers would either keep going positive or keep going negative.

B: 2, 4, 8, 16, ... The common difference between 16 and 8 is 16 - 8 = 8. The difference between 8 and 4 is 8 - 4 = 4. Since the difference changes between the numbers, this is not an arithmetic sequence.

C. -8, -6, -4, -2, ... The common difference between -2 and -4 is -2 - (-4) = -2 + 4 = 2. The difference between -4 and -6 is -4 - (-6) = -4 + 6 = 2. The difference between -6 and -8 is -6 - (-8) = -6 + 8 = 2. Since the common difference is always two, this is an arithmetic sequence.

Hope this helps!

What is the area of polygon EFGH?

Answers

It’s c count the squares

The amount of money spent on textbooks per year for students is approximately normal.
a. To estimate the population mean, 19 students are randomly selected the sample mean was $390 and the standard deviation was $120. Find a 95% confidence for the population meam.
b. If the confidence level in part a changed from 95% 1to1999%, would the margin of error for the confidence interval (mark one answer): decrease stay the same increase not enough information to answer
c. If the sample size in part a changed from 19 10 22. would the margin of errot for the confidence interval (mark one answer): decrease in stay the same increase in not enough information to answer
d. To estimate the proportion of students who purchase their textbookslused, 500 students were sampled. 210 of these students purchased used textbooks. Find a 99% confidence interval for the proportion of students who purchase used text books.

Answers

Answer:a

a

   [tex]336.04 < \mu < 443.96[/tex]

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  [tex]0.4107 < p < 0.4293[/tex]

Step-by-step explanation:

From the question we are  told that

   The sample size  [tex]n = 19[/tex]

    The sample mean is  [tex]\= x = \$\ 390[/tex]

    The  standard deviation is  [tex]\sigma = \$ \ 120[/tex]

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           [tex]\alpha = 100 - 95[/tex]

          [tex]\alpha = 5 \%[/tex]

          [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table

    So  

         [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

The  margin of error is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

=>    [tex]E = 1.96 * \frac{120}{\sqrt{19} }[/tex]

=>   [tex]E = 53.96[/tex]

The 95% confidence interval is  

     [tex]\= x - E < \mu < \= x + E[/tex]

=>   [tex]390 - 53.96 < \mu < 390 - 53.96[/tex]

=>  [tex]336.04 < \mu < 443.96[/tex]

When the confidence level increases the [tex]Z_{\frac{\alpha }{2} }[/tex] also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         [tex]n \ \ \alpha \ \ \frac{1}{E^2 }[/tex]

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       [tex]\r p = \frac{210}{500}[/tex]

       [tex]\r p = 0.42[/tex]

Given that the confidence level is 0.99 the level of significance is  [tex]\alpha = 0.01[/tex]

The critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is  

      [tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]

  Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }[/tex]

=>   [tex]E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }[/tex]

=>     [tex]E = 0.0093[/tex]

The 99% confidence interval  is

     [tex]\r p - E < p < \r p + E[/tex]

     [tex]0.42 - 0.0093 < p < 0.42 + 0.0093[/tex]

     [tex]0.4107 < p < 0.4293[/tex]

 

Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university; however, she must pay in euros. How many euros can Varia expect to pay per month to the university?

Answers

Answer: 247.92 euros

Step-by-step explanation:

Given, Varia is required pay $3,500 (in US dollars) per year to the university.

If she must pay in euros , then we convert $3,500 into euros.

Current rate : 1 US dollar = 0.85 euro

Then,  $3,500 = ( 0.85 x 3500) euros

= 2975 euros

She can expect 2975 euros to pay per year.

Also, [tex]2975\div 12\approx247.92[/tex]   [ 1 years = 12 months]

Hence, She can expect 247.92 euros to pay per month to the university.

Mark is buying supplies for his students. He is buying a notebook (n) and a pack of pencils for each of his 25 students. Each pack of pencils costs $1.25. If Mark's total cost is $156.25, which of the following equations can be used to find how much each notebook cost? Select TWO that apply.

Answers

Answer:

$5

Step-by-step explanation:

Note. There are no options to select.

Let the notebook cost x, then Mark spent:

25x + 25*1.25 = 156.2525x + 31.25 = 156.2525x = 156.25 - 31.2525x = 125x= 125/25x= 5

Notebook costs $5

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The parallelogram shown below has an area of 120 units^2 . Find the missing height. The value of x in this system of equations is 1. 3x + y = 9 y = 4x + 10 Substitute the value of y in the first equation: Combine like terms: Apply the subtraction property of equality: Apply the division property of equality: How far are the points (6,4) and (6,-3) Two of the lights at the local stadium are flickering. They both just flickered at the same time.One of the lights flickers every 7 seconds and the other light flickers every 8 seconds.How many seconds until both lights will flicker at the same time again?seconds What was the significance of the holy land during the crusades? A. It was the ancient homeland of the Romans and their gods B. It was the birthplace of Islam C. It was the birthplace of Abraham D. It was the ancient homeland of the Jews and place where Jesus Christ had lived Which one of these sentences uses grammatical punctuation? Our teacher got sick over the weekend, so we had a short term substitute for the first half of this week. 1. What is the value of (1/2)^3?O A. 76O B. 119O C.12O D. 18 Help me ASAP for this matching Calculate the amount of heat that must be absorbed by 10.0 g of ice at 20C to convert it to liquid water at 60.0C. Given: specific heat (ice) = 2.1 J/gC; specific heat (water) = 4.18 J/gC; H fus = 6.0 kJ/mol. how are phenotypes impacted by mutations Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero? Chuck and Jeri live hundreds of miles from their children. They are retired and have busy lives of leisure. They seldom visit their children and have never developed a close relationship with their grandchildren. Behavioral scientists would say Chuck and Jeri have what type of relationships with their grandchildren Convert 6 feet to miles PLEASE HELP!! URGENT!! i will mark brainliest if its right!! In the figure below, DEC DCE, B F, and DF BD. Point C is the point of intersection between AG and BD while point E is the point of intersection between AG and DF. Prove ABC GFE. Because of the legal protection for intellectual property, such as patents, a firm has a better chance of recouping the costs of research if it pursues:_________.a. Basic technological researchb. Technologically innnovative researchc. Appllied technological researchd. Technologically positive research Work out the circumference of a circle with diameter 1.8 cm.Take a to be 3.142 and give your answer to 1 decimal place. The value of y varies jointly with x and z. If y = 2 when z = 110 and x = 11, find the approximate value of y when x = 13 and z = 195. At minimum, how far above the floor should food be stored?O a. 2 inches (5 cm)O b. 4 inches (10 cm)O c. 6 inches (15 cm)O d. 8 inches (20 cm) *PLEASE ANSWER* What is the value of d if the volume of Prism f is 99 cubic units? The expression (x-6)^2 is equivalent to