What is the value of y that makes T Parallel to U

What Is The Value Of Y That Makes T Parallel To U

Answers

Answer 1

Answer: y = 18

Sentence: The value of y that makes T Parallel to U is 18.

Step-by-step explanation:

We are given 3 expressions:

(7x)(6y + 9)(3x + 36)

We know that since the angle (7x) is on the same line as the angle (3x + 36), we can therefore determine that they correspond to each other. I referred an image to help demonstrate this concept. So since they correspond to each other, that means they have the same value (meaning they are equal to each other).

We can set both expressions equal to each other.

7x = 3x + 36

And solve:

7x = 3x + 36

-3x   -3x

4x = 36

/4     /4

x = 9

now we know the value of x, we can plug it into one of the equations. We  can plug it in to 3x + 36 to help with the process in solving y.

3(9) + 36 = 63 degrees

Since 6y + 9 and 3x + 36 (63 degrees) are supplementary angles, we can subtract 180 from 63.

180 - 63 = 117

now we know that 117 degrees = 6y + 9 BUT!, we need to solve for y, because that's what the question is asking for.

So lets solve for y:

117 = 6y + 9

-9            -9

108 = 6y

/6       /6

y = 18

What Is The Value Of Y That Makes T Parallel To U

Related Questions

Which of the following quadratics would have the roots of 1+ or 1- ^2.

Answers

The quadratic equation for the given roots is x²-2x-1=0. Therefore, option 4 is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The roots of the quadratic equation are 1±√2.

Here, x=1+√2 and x=1-√2

x-1-√2=0 and x-1+√2=0

Now, (x-1-√2)(x-1+√2)=0

= x(x-1+√2)-1(x-1+√2)-√2(x-1+√2)=0

= x²-x+√2x-x+1-√2-√2x+√2-2=0

= x²-2x-1=0

Therefore, option 4 is the correct answer.

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London
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Prisms
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A triangle has a base of 3 inches and an area of 5 square inches. Find the height
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Answers

When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.

what is triangle ?

Since a polygon has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a pyramid that has vertices A, B, and C. When the three factors are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sections and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

given

triangle's surface area is equal to 1/2 * b*h

5 = 1/2 * 3 * h

10 = 3h

h = 3.33 inches.

When the triangle has a base of 3 inches and an area of 5 square inches, its height is 3.33 inches.

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2 1/5 of the quotient of 5 5/11 and 2 2/5

Please help me!

Answers

Answer:

21 and 18.48 respectively

Step-by-step explanation:

to solve this question,first we need to identify the quotients by dividing the numbers and multiply each by 21/5

The quotient of the [tex]\frac{55}{11}[/tex]=5

[tex]\frac{21}{5}[/tex]  of 5 = [tex]\frac{21}{5}[/tex]×5=21

The quotient of the [tex]\frac{22}{5}[/tex]=4.4

[tex]\frac{21}{5}[/tex] of 4.4 = [tex]\frac{21}{5}[/tex]×4.4=18.4

 so, the answer is 21 and 4.4 respectively.

A local salesman receives a base salary of $925 monthly. He also receives a commission of 8% on all sales over $1250. How much would he have to sell in a month if he needed to have a monthly income of $2900?

He would need to sell $
to reach his needed monthly income needs.

Answers

The salesman needs to sell $25937.5 to reach his needed monthly income needs.

What is commission?

Commission, also known as sales commission, is a payment given to employees based on the sales they make.

Given that, A local salesman receives a base salary of $925 monthly. He also receives a commission of 8% on all sales over $1250.

Monthly salary = fixed part + commission part

The fixed salary is $925.

The commission part is 8% on all sales over $1250

Let x = amount of sales, and x must be greater than $1250.

Then, the amount of sales over $1250 is x - 1250.

He earns 8% on that amount, so the commission part is 8%(x - 1250),

or 0.08(x - 1250).

Monthly salary = fixed part + commission part

Monthly salary = 925 + 0.08(x - 1250)

925 + 0.08(x - 1250) = 2900

0.08x = 2075

x = 25937.5

Therefore, he needs to sell $25937.5.

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Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?

Answers

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Select all of the expressions equivalent to (0.5p + 7) + (0.3p-6).
A.1 +0.8p
B.-6.5p+7.3
C.7.5p - 5.7
D.0.8p + 1
E.7.3 -6.5p

Answers

I’m pretty sure it’s A and D cause those are the only ones that make sense

how to solve this long division​

Answers

Answer:

Step-by-step explanation:

Answer:

0.5 is the answer

Step-by-step explanation:

2 clearly cannot be divided by 4

So what we have to do is put a 0 over the 2 and a decimal in the place after the 2 and bring down a 0 making it 20÷4=5

Don't forget the decimal point that was necessary to create the 20

That makes the answer 0.5

PLSSS HELPP
IMAVE ATTACHED

Answers

Answer:

38[tex]\sqrt{3}[/tex]

Step-by-step explanation:

6[tex]\sqrt{5x5x3}[/tex] + 4[tex]\sqrt{2x2x3}[/tex]  We can pull out a pair of 5's and 2's

6(5) [tex]\sqrt{3}[/tex] + 4(2)[tex]\sqrt{3}[/tex]

30[tex]\sqrt{3}[/tex] + 8[tex]\sqrt{3}[/tex]

38[tex]\sqrt{3}[/tex]

Factor completely 640-10x^2

Answers

Answer:

Step-by-step explanation:

640 - 10x^2 = (4x-10)(160 + 4x)

The factors of 640-10x^2 are (4x-10) and (160 + 4x).

Please help me solve this i'm not sure what else to do​

Answers

The equation of the line in point-slope form is obtained as y = -2x + 4.

What is the point-slope form?

Point-slope is the general form of a linear equation which is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

The line passes through point (x1,y1) = (0,4)

The slope of the line is m = -2.

The formula for point-slope form of equation is -

y-y1=m(x-x1)

Substituting the values in the equation -

y - 4 = -2(x - 0)

y - 4 = -2x

y = -2x + 4

Therefore, the equation is obtained as y = -2x + 4.

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Which inequality is represented by this graph?

Answers

x>0 is the answer.

The inequality has an open point at the starting value, meaning that the solution does not contain that specific value. Because the graph points to the right (+), the solution set is shown as any number greater than 0.

Find the perimeter of triangle ABC. Round your answer to two decimal places.

2
4
6
8
10
-2
-4
-6
-8
-10
2
4
6
8
10
-2
-4
-6
-8
-10
A
B
C

Answers

The perimeter of Triangle ABC, given the triangle in drawn in the graph, would be 40 .54 units .

How to find the perimeter ?

To find the perimeter of the triangle , you first need to find the lengths of the sides of the triangle .

The lengths would be the distance between the points A , B , and C .

The vertices are : A ( - 1 , - 8) , B ( -4 , 6 ) and C ( 4 , 9 ) .

The distance between the points can be found by the formula:

= √(( x₂  – x₁ )² + ( y₂ – y₁) ²)

The distance between AB is 14.3 units

The distance between BC is 8. 54 units.

The distance between AC is 17.7 units.

The perimeter is:

= 14.3 + 8. 54 + 17. 7

= 40 .54 units

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HELP
IMMAGE ATTACHED

Answers

Answer:

[tex]\frac{y-7}{y+8}[/tex]

y cannot equal -8

Step-by-step explanation:

[tex]\frac{(y-7)(y-5)}{(y+8)(y-5)}[/tex]           y-5 cancel out

[tex]\frac{y-7}{y+8}[/tex]

solve for x,y answer

Answers

Step-by-step explanation:

here it is earning more money to the doctor said the

what is solution set for 2x2+15=-11x?
A{2.5,3} C{-3,-2.5}

B[1.5,5} D{-5,-1.5}

Answers

Answer:

C{-3,-2.5}

Step-by-step explanation:

Brainliest pls

Please help me with this question.

Answers

The solution of the given differential initial value problem is

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

What is initial value problem?

In multivariable calculus, an initial value problem is an ordinary differential equation together with an initial condition which specifies the value of the unknown function at a given point in the domain.

Given is the initial value problem -

y' = y² - 6y + 5

We can write the -

y' = y² - 6y + 5

Dividing both sides by {y² - 6y + 5}, we get -

y'/y² - 6y + 5 = 1

Integrating -

∫(y'/y² - 6y + 5) dx = ∫1 dx

- 1/4 log(1 - y) + 1/4 log (5 - y) = x + c{1}

Solving for y{x}, we can write -

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

The given differential equation can be solved and written as -

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}

Therefore, the solution of the given differential initial value problem is

y(x) = {e^(4x + 4c{1}) - 5}/{{e^(4x + 4c{1}) - 1}.

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What is the meaning of the absolute value of a number?
A.the direction a number is located with respect to zero

B. the distance a number is located from zero

C.the value of a number after it has been rounded up

D.the value of a number after it has been rounded down

Answers

The correct answer is b.

Put the answer please!

Answers

The inequality that represents the interval shown on the number line is:

5 ≤ x ≤ 9

How to express the interval shown?

We want to use inequality notation to define the interval shown on the number line.

We can see that the first point is marked with a closed circle, at x = 5.

And then we have another closed circle at x = 9

The closed circles means that these points are solutions to the inequality, so we need to use the symbols:

≤ and ≥

Then we can write the inequality:

5 ≤ x ≤ 9

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Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily
be performed by hand or in your head. Then, use a calculator to perform the computation. How reasonable is your
estimate when compared to the actual answer?
348 +598
is O
Round the two numbers to the nearest ten. An estimate of the sum is
More
x 946 is not answer also I need help this homework math please

Answers

Answer: it should be 946, maybe you worded Wong

Step-by-step explanation:

o obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.

348 rounded to the nearest ten is 350

598 rounded to the nearest ten is 600

So, our estimate for the sum of 348 + 598 is 350 + 600 = 950

Using a calculator, the actual computation is 348 + 598 = 946

Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.

Use computer drawing software to construct a quadrilateral with two pairs of parallel sides and ywo angles measuring 125°. What geometric shape describes this quadrilateral

Answers

The geometric shape formed is a rhombus.

What is quadrilateral?

A quadrilateral is a four-sided shape enclosed shape, where the sum of the internal angle is 180°.

Here,
It is mentioned in the question, we have to construct a quadrilateral with two pairs of parallel sides and two angles measuring 125°.
So, the construction of a quadrilateral is shown.
As seen in the figure, the figure is of a rhombus.

Thus, the geometric shape formed is a rhombus.

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Seats for Sale
State's football program has risen to the ranks of the elite with postseason bowl games in each of the past 10 years, including a national championship game. The Bruins (as the fans are called) fill the stadium each game. Season tickets are increasingly difficult to find. In response to the outstanding fan support, State has decided to use its bowl revenues to expand the stadium to 75,000 seats.
The administration is confident that all 75,000 seats can be sold at the normal price of $40 per game ticket; however, Frank Pinto's job, as athletic director, is to get as much revenue out of the stadium expansion as possible. In addition to stadium boxes for wealthy alums, Frank would like to take this opportunity to repurpose existing seats. A certain number of seats (yet to be determined) would be set aside for premium ticket holders who would pay $200 per ticket for the privilege of 50-yard line seats with chair backs and access to indoor concessions. The question is, how many fans would be willing to pay such a premium? If too many seats are designated in the premium sections, they could remain vacant. Too few premium seats would lose potential revenue for the program.
Frank has decided that if the plan has any chance of success, unsold premium seats should not be sold at reduced rates. It would be better to donate them to local charities instead. Gathering data from his cohorts at peer institutions, Frank has put together the following probability distribution of premium ticket holders. The data begin with 1000 tickets since Frank already has requests for 999 tickets from alumni donors. He is asking for your help in performing the analysis.
No. of Premium Tickets Probability
1,000 0.10
5,000 0.30
10,000 0.24
15,000 0.15
20,000 0.10
25,000 0.06
30,000 0.05
a. Using revenue management, determine how many seats should be reserved for premium ticket holders.
b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?
c. The administration is unsure about Frank's plan. The VP of finance thinks an expected value of the number of premium seats would produce better results. How would the number of premium seats change using expected value? Considering the possible outcomes, which approach yields the most potential revenue?

Answers

Answer:

a. To determine how many seats should be reserved for premium ticket holders, Frank can use revenue management techniques. One common method is to use the expected revenue per seat, which is calculated by multiplying the number of seats by the expected price per seat and then multiplying that by the probability of that number of seats being sold. Frank can then compare the expected revenues for different numbers of premium seats and choose the number of seats that maximizes the expected revenue.

b. If the number of premium seats is 1,000, then the expected revenue is:

(1,000 x $200 x 0.10) + (75,000 - 1,000) x $40 x 1 = $200,000 + $3,000,000 = $3,200,000

If the number of premium seats is 5,000, then the expected revenue is:

(5,000 x $200 x 0.30) + (75,000 - 5,000) x $40 x 0.7 = $3,000,000 + $2,330,000 = $5,330,000

If the number of premium seats is 10,000, then the expected revenue is:

(10,000 x $200 x 0.24) + (75,000 - 10,000) x $40 x 0.76 = $4,800,000 + $3,768,000 = $8,568,000

and so on for the rest of the numbers.

From the above calculations, we see that the expected revenue is maximized at 10,000 premium seats, which is expected to generate $8,568,000.

c. Using the expected value of the number of premium seats would be calculated by multiplying the number of seats by its probability. The expected value of the number of premium seats is:

1,000 x 0.10 + 5,000 x 0.30 + 10,000 x 0.24 + 15,000 x 0.15 + 20,000 x 0.10 + 25,000 x 0.06 + 30,000 x 0.05 = 10,000.

Comparing this with the number of seats obtained by maximizing the expected revenue (10,000), we see that both approaches yield the same number of premium seats. This means that both approaches would yield the same potential revenue.

pls help me asap iready now

Answers

He surveys 120 people

the answer is there

60 students so. my brainly is glitchng sorry

Help please!


(8^2003+6^2003)/49=?

Answers

Answer:

2^6009 + 6^2003 / 49 ig lol

R=1(149×109meter)2−(298×109meter)2

Answers

Value of R = 1.72×10¹¹ meter

The correct option is B.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

determine whether the three points P=(-7,6,-8), Q=(-8,4,-11), R=(-9,3,-14) are colinear by computing the distances between pairs of points

Answers

Answer:

To determine whether the three points P, Q, and R are colinear, we can calculate the distances between pairs of points using the distance formula:

d(P,Q) = √((-8 - (-7))^2 + (4 - 6)^2 + (-11 - (-8))^2) = √((-1)^2 + (-2)^2 + (-3)^2) = √14

d(Q,R) = √((-9 - (-8))^2 + (3 - 4)^2 + (-14 - (-11))^2) = √((-1)^2 + (-1)^2 + (-3)^2) = √9

d(P,R) = √((-9 - (-7))^2 + (3 - 6)^2 + (-14 - (-8))^2) = √((-2)^2 + (-3)^2 + (-6)^2) = √19

If the three points are collinear, the distance between any two points should be a multiple of the distance between the other two points. Since √14, √9, and √19 are not multiples of each other, it can be concluded that the three points P, Q, and R are not collinear.

A company estimates that the demand for its product fluctuates with the price it charges. The demand function is q = 450,000 – 400p where q equals the number of units demanded and p equals the price in naira. The total cost of producing q units of the product is estimated by the function C = 400,000 + 200p + 0.0005q²? (a) Determine how many units q should be produçed in order to maximize annual profit. (b) What price should be charged? (c) What is the annual profit expected to equal? ​

Answers

The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

Identify the optimal number of units to produce in order to maximize annual profit ?

The company should create 1 unit of production in Plant 1 in order to optimize its earnings.

Any extra unit above one in Plant 1 would reduce the demand for the firm's goods, which is determined by

P = 78 – 15 Q, where Q = Q1 + Q2.

For instance, the company will generate four units in Q2 if it produced two units in Q1.

The negative demand for the firm's goods will range from 33 units

(78 - 15 x 3, where Q = 3) to -12 units (78 - 15 x 6, where Q = 6),

depending on the production output.

The output of the company at Plant 1 (Q1) that maximizes its earnings is therefore 1.

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Suppose a parabola has an axis of symmetry at x = -1, a maximum height of –1 and also passes through the point (0, –5). Write the equation of the parabola in vertex form.

Answers

The vertex form of the parabola is y + 1 = - 4 · (x + 1)².

How to determine the vertex form of the equation of a parabola

Graphically speaking, parabolae can be generated by quadratic equations, whose forms are described below: (Please notice that the parabola described by statement is parallel to y-axis since axis of symmetry is a vertical line)

Standard form

y = a · x² + b · x + c

Vertex form

y - k = C · (x - h)²

Where:

x - Independent variabley - Dependent variablea, b, c - Real coefficient(h, k) - Coordinates of the vertex.

If we know that h = - 1, k = - 1 and (x, y) = (0, - 5), then the equation of the parabola in vertex form is:

C = (y - k) / (x - h)²

C = (- 5 + 1) / (0 + 1)²

C = - 4 / 1²

C = - 4

The equation of the parabola in vertex form is equal to y + 1 = - 4 · (x + 1)².

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The gate code at your apartment complex is three numerical digits followed by the "#" sign. If each code
contains non-repeating digits, how many possible gate codes does your apartment complex have?

Answers

There are 720 possible gate codes your apartment complex have.

What is algebra?

The subject matter of the math discipline of algebra is symbols and the arithmetic operations performed on them. Variable describes these symbols because they don't have any fixed values. We frequently notice values that are in constant flux in our day-to-day problems.

To represent these shifting values, however, is always necessary. These values are frequently represented in algebra with symbols like x, y, z, p, or q; these symbols are referred to as variables.

The gate code at your apartment complex is three numerical digits followed by # sign.



There are 10 digits (0 to 9).

Compute the number of possible gate codes if each code contains non-repeating digits as follows.

The first 3 place in the code must be filled by three non-repeating digits.

So, there are 10 possibilities for the first digit, 9 possibilities for the second digit and 8 possibilities for the third digit.

Hence, the three non-repeating digits can occur in 10×9×8 ways.

The three non-repeating digits are followed by "#" sign. The sign # can occur in only one way.

Combine the above results and obtain the number of possible gate codes as,

10×9×8×1=720

Thus, there are 720 possible gate codes.

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During a spring clearance sale, Sears advertise 1/4 off the list of Model II microwave ovens and an additional 1/5 off the sale price for ovens that are scratched or dented. If the list price of a Model II is $240, what is the sale price? What is the price of a scratched one?

Answers

Answer:

$180.00 sales price

$144.00 for a scratched one

Step-by-step explanation:

240 x .75 = 180

1/4 is 25%  (100% - 25% = 75% which is .75 as a decimal)

180 x .80 = 144

1/5 is 20% (100% -20% = 80% which is .8 as a decimal)

3 + y = 18 for y help with problem

Answers

Answer: y = 15

Step-by-step explanation:

Subtract both sides by 3

3 + y = 18

y = 15

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In New Madrid ("hypocenter" and "epicenter" mean precisely the same thing)B. 10 km south of New MadridC. 20 km beneath New MadridD. 200km beneath New Madrid george beadle and edward tatum used mutant strains of neurospora to formulate the one-gene-one-enzyme hypothesis. researchers later updated this hypothesis to propose that one gene encodes one polypeptide because proteins can have multiple subunits. consider a heterodimeric protein. how many genes are required to form this protein? Industries during the 1990s in the U.S. began torelocate where?A. PanamaC. ColumbiaB. MexicoD. San Salvador Draw the line of reflection that reflects quadrilateral ABC D onto quadrilateral A' B'C'D'. Which relation is a function? 3. What does Cmo eres t? mean in Spanish? (1 point)O What are you like?OWhat's your name?O How are you doing?O Who are you? Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what most likely happened in Sandy's experiment. Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments. Sandy's experimental probability was closest to the theoretical probability in the experiment with 80 flips. Sandy's experimental probability was closest to the theoretical probability in the experiment with 800 flips. Sandy's experimental probability was closest to the theoretical probability in the experiment with 3,000 flips. A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have at the top without flying off the road? 2 Sentence CombiningCombine the sentences that begin in lines 9 and 10 using an introductory phrase. (Seepage 648.3 in Write Source for an example.) Write your combined sentence below. =10. An object of mass mi2.5 kg is connected to another object of mass m = 4.0 kg by a compressedspring. Both objects are at rest on a frictionless surface. When the spring is released, the objects arepushed apart and a total energy of 16.8 J is given to the two objects. The speed of object m isa.3.2 m/sb. 2.9 m/s1.8 m/s8.3 m/sC.d. the process of making a copy of dna that is small enough to leave the nucleus a 500-kilogram sports car accelerates uniformly from rest, reaching a speed of 30 meters per second in 6 seconds. what distance has the car traveled during the 6 seconds? select all that apply Taylor has xx nickels and yy dimes, having no less than 15 coins worth a maximum of $1 combined. At least 14 of the coins are nickels. Solve this system of inequalities graphically and determine one possible solution. true or false: one drawback of the twenty-seventh amendment is that voters are uninformed about pay increases for their members of congress a country encourages individuals to own and operate the majority of businesses, but its government passes laws to enforce fair business practices such as labor laws, antitrust legislation, and laws against deceptive advertising. this is an example of A whale-watching tour boat, moving west at a constant speed 45 miles per hour, has finished viewing a whale and is returning to shore. One whale that is right next to the boat swims away in the opposite direction, moving at a constant speed of 25 miles per hour. They swim apart for 35 minutes and then change direction. The boat turns south and again the whale turns in the opposite direction of the boat. They continue moving apart for another 25 minutes. How far apart are the boat and the whale? (Round your answer to the nearest mile). AssertionArchaebacteria are able to survive in harsh habitats.ReasonPresence of peptidoglycan in cell wall help archaebacteria to survive in extreme conditions.Archaebacteria are able to survive in harsh habitats.If both assertion and reason are trueand reason is the correct explanationof assertion.If both assertion and reason are truebut reason is not the correctexplanation of assertion.If assertion is true but reason is false.If both assertion and reason are false. glass lake, located in a valley in low forested mountains, for many decades of the 19th and early 20th centuries was a favorite picnic, recreation, and fishing site for people in surrounding towns and farms. the use of chemical fertilizers and pesticides increased several-fold by the end of the century. in addition, the combined population of the lakeside villages quadrupled during the same time. the lake experienced an overgrowth of algae, and a slow degradation of water quality and biodiversity. sport fishing declined, and the lake became murky, while the sediments in the lake increased in depth. the symptoms of the lake suggest .