Malcom had some milk chocolates and dark chocolates. He ate an equal amount of milk and dark chocolates. He had 5/7 of the milk chocolates and 2/5 of the dark chocolates left. What fraction of the chocolates did Malcom eat?

Answers

Answer 1

Malcom ate 7/10 of the total chocolates.

What is amount?

Amount is a term used to describe the quantity of something, usually a numerical value. It can refer to money, a number of people or objects, or a measurement such as weight or volume. Amounts can also be used to represent a value of something abstract, such as time, effort, or emotion. Amounts are typically quantified, meaning they can be easily compared to other amounts.

The fraction of chocolates that Malcom ate is 5/7 of the milk chocolates and 2/5 of the dark chocolates, so the total fraction of chocolates that Malcom ate is (5/7) + (2/5) = 7/10. Therefore, Malcom ate 7/10 of the total chocolates.

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Related Questions

Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?

Answers

Answer: 3

Step-by-step explanation:

39 divided by 13 is equal to 3

there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3

Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two

Solve Show all steps
(x^3/2)^6/5 =x^a

Answers

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

The value of a after solving through exponents = 9/5

What are exponents?

The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.

For instance, the result of multiplying the number 6 by itself four times is:

6 × 6 × 6 × 6. You can write this as

Now here,

[tex](x^{3/2} )^{6/5}[/tex]

= [tex]x^{9/5}[/tex]

Therefore, the value of a = 9/5.

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Quadratic Functions:
Evaluate the function fx= -4x2+6x-1 to find
f-1
Using the same function, when is fx=0

Answers

For function fx= -4x2+6x-1

f(-1) = -11 fx=0 when x = (3+√5)/4 and x = (3-√5)/4.

To find f(-1), we need to plug in -1 for x in the function and simplify:
f(-1) = -4(-1)2+6(-1)-1
f(-1) = -4+(-6)-1
f(-1) = -11

To find when fx=0, we need to set the function equal to 0 and solve for x: -4x2+6x-1=0

We can use the quadratic formula to solve for x:
x = (-b ± √(b2-4ac))/(2a)
x = (-(6) ± √((6)2-4(-4)(-1)))/(2(-4))
x = (-6 ± √(36-16))/(-8)
x = (-6 ± √20)/(-8)
x = (-6 ± 2√5)/(-8)
x = (3 ± √5)/4

So, the two values of x that make fx=0 are (3+√5)/4 and (3-√5)/4.

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Arrange these in descending order
0. 68
0. 5
0. 345
0. 99

Answers

0.345 0.5 0.68 0.99 that is the descending order

PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!

Answers

1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.

2. The slope (m) = 3; y-intercept (b) = -86;

The equation for the situation is: y = 3x - 86

3. Median of class A = 40; Median of class B = 8

The difference is: 32

What is the Y-intercept of a Linear Equation?

In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.

1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.

2. The slope (m) = unit rate = 3 degrees every hour

The starting value = y-intercept (b) of the situation = -86

To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:

y = 3x - 86

3. Median is the middle value of a data set, therefore:

Median of class A = 40

Median of class B = 8

The difference between the medians of the class = 40 - 8 = 32

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If you were counting by 4's, what are the next three numbers you would
count?
56, 60, 64, 68, ?, ?, ?...
OA. 72, 80, 88
OB. 76, 80, 84
C. 72, 76, 80
OD. 60, 64, 68

Answers

Answer: The answer would be C

Step-by-step explanation:

If we start from 56,60,64,68 and were adding 4 each time the next numbers would be 72,76,80

If you add up it is C

is a 20% off coupon and a 10% off coupon the same thing as using a 30% off coupon

Answers

Answer: no

Step-by-step explanation:

No it is not the same

Please asp 50 points and brainly

Answers

Answer:

A= 9/20 B= 45% C=0.45 d= 4.5% E= 3/8 F= 0.375 G= 37.5% H= 15.5% I = 0.8 j=80%

Subtract. (7)/(12vx^(2))-(3)/(8v^(2)x) Simplify your answer as much as possible.

Answers

Subtracting the expression (3)/(8v²x) from the expression (7)/(12vx²) will result to the expression (14v - 9x)/(24v²x²).

To subtract the two fractions, we need to find a common denominator. The least common denominator (LCD) is the least common multiple of the denominators of two or more fractions, and it is used to find a common denominator so that we can perform operations on them. The LCD of 12vx² and 8v²x is 24v²x². We can then multiply each fraction by the LCD to get the same denominator and subtract the numerators.

(7)/(12vx²) x (24v²x²)/(24v²x²) - (3)/(8v²x) x (24v²x²)/(24v²x²) = (14v)/(24v²x²) - (9x)/(24v²x²) = (14v - 9x)/(24v²x²)


So the simplified answer is (14v - 9x)/(24v²x²).

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simplify the radical expression below 2/9.

Answers

The simplification of the radical expression √9. is 3.

What is radical expression?

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. When a radical expression appears in the denominator of an algebraic expression, the radical expression is simplified by multiplying the numerator and denominator by the appropriate radical expression (for example, conjugate in the case of a binomial and the same radical in the case of a monomial).

The given expression is √9.

The given expression can be written as:

√(3)(3) = 3

Hence, the simplification of the radical expression √9. is 3.

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An architect is designing a covered bridge to be placed over a ravine. In the diagram BF and BG represent the sides of the ravina, FIG represents the road surface of the bridge, and AC represents the of covering the bridge. Would these
urements ensure the roof is parallel to the road of the bridge? Explain

Answers

Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.

what is parallel ?

Two or more lines, dotted lines, or planes that remain the same distance apart and never cross, even if they are extended indefinitely in both directions, are referred to as parallel in mathematics. The sign "||" stands for parallel lines. There are many significant characteristics of parallel lines. The fact that a transversal line—a line that crosses two or more parallel lines—always forms equal angles is among the most significant.

given

If two lines are drawn, one from the highest spot on the roof to the surface and the other from the lowest point, they must be parallel to one another. Those lines must also be parallel to one another if we sketch one from the leftmost point on the roof to the surface and another from the rightmost point on the roof to the surface.

Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.

To ensure that the measurements are precise and that the roof is built at the right angle to be parallel to the road, this may require using a level or other instruments.

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James spent 2/5 of his pocket money on snacks and 1/4 of the remaining amount on snacks a) Calculate the fraction of his pocket money spent on snacks. b)calculate his pocket money if he still has$9.00 left​

Answers

Answer: about 26.00

Step-by-step explanation:

A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF

Answers

Answer:

/AC/=10.2

Mark as brainliest

solve this
please i need help with this

Answers

Answer:

  45

Step-by-step explanation:

You want the area of triangle RST using the area formula A=1/2bh, given the points R(-2, 7), S(-5, 1), and T(7, -5).

Side lengths

A plot of the points is shown in the first attachment. By counting grid squares, you can see that segment RS has a "rise" of 2 grid squares for each 1 to the right. The total (run, rise) is ...

  R -S = (-2, 7) -(-5, 1) = (-2 +5, 7 -1) = (3, 6)

The length of RS is found using the Pythagorean theorem (distance formula). It is ...

  RS = √(3² +6²) = √45 = 3√5

Similarly the length of segment ST is ...

  T -S = (7, -5) -(-5, 1) = (7 +5, -5 -1) = (12, -6)

  ST = √(12² +(-6)²) = √180 = 6√5

Slopes

We note that the slopes of these segments are opposite inverses of each other:

  slope RS = 6/3 = 2

  slope ST = -6/12 = -1/2

This means the segments are at right angles. One of them can be considered to be the "base" and the other the "height" of the triangle.

Area

Using the area formula, we find the area to be ...

  A = 1/2bh

  A = 1/2(6√5)(3√5) = (1/2·6·3)(√(5·5)) = 9·5 = 45

The area of ∆RST is 45 square units.

__

Alternate solution

When the coordinates of a polygon are given, there are several other ways to find its area. One of these is illustrated in the second attachment.

The method illustrated here computes successive "determinants", then finds the area as half the absolute value of their sum. (The sign of the sum will depend on the order in which the points are listed around the figure. Here, it is counterclockwise.) As you can see, we get the same result. You can also see that a spreadsheet is useful for doing the repetitive math.

  Area ∆RST = 45 square units

__

Additional comment

The distance formula for the length of the segment between two points is ...

  d = √((x2-x1)² +(y2-y1)²)

Above, we calculated the differences (x2-x1, y2-y1) separately, then used the "root sum squares" formula for the distance. This has the advantage that (y2-y1)/(x2-x1) is the slope of the segment, and we needed to make sure the segments were perpendicular.

a ice cream truck driver figured out that the number of ratio of vanilla to chocolate ice cream cones sold was 5 to 2 if 125 vanilla cones were sold how many chocolate cones were sold?

Answers

Answer: 50 chocolate cones

Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50

Answer:

50. There were 50 chocolate cones sold.

Step-by-step explanation:

so we do it like this: see the attachment for the work i did to solve

*Baige=Vanilla*

*brown=chocolate*

when you cross multiply you get 50

the numbers 2.888... and 2.999... are both rational numbers. What is an irrational number the is between the two rational numbers?

Answers

2.8889........., 2.8890........, 2.8891...... etc is an irrational number the is between the two rational numbers.

What is a rational number, with an example?

Any number with the pattern p/q, where p and q are integers and q is not equal to 0, is a rational number. Rational numbers include, among others, 1/3, 2/4, 1/5, 9/3, and so forth.

A rational number is a number which is can be represented as the quotient of two numbers without having any remainder i.e., having remainder 0. For example 2.45, 2, 3 etc.

An irrational number has a non zero remainder and has a non terminating quotient. For example the numbers shown in the question 2.888...... and 2.999..... etc.

So the numbers between 2.888... and 2.999... are 2.8889........., 2.8890........, 2.8891...... etc

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The scale factor of two similar hexagons is 3:7. The area of the smaller hexagon is 18 m2. What is the volume of the larger hexagon?


42 m2


36 m2


98 m2


5832 m2


324 m2

Answers

The area of the hexagon is 98 sq. m and option 3 is the correct answer.

What is a hexagon?

The closed polygonal form of a regular hexagon has six equal sides and six equal angles. Any regular polygon has equal sides and angles on all sides. Regular pentagons, for instance, have 5 equal sides, while regular octagons have 8 equal sides. When these requirements are not satisfied, polygons might resemble many other asymmetrical forms. A regular hexagon is formed when six equilateral triangles are placed side by side. The regular hexagon's area then increases to six times that of the identical triangle.

Given that,

The scale factor of two similar hexagons is 3:7.

The ratio of the area will thus be,

(3/7)^2 = 9/49.

For the area of the smaller hexagon as 18 we have:

9/49 = 18/A

(9/49)A = 18

Multiplying both sides by 49/9, we get:

A = 98 sq. m

The volume of the hexagon cannot be determined by the given information.

Hence, the area of the hexagon is 98 sq. m and option 3 is the correct answer.

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2+2+??= 4,000
helppppppppppppppppppppppp

Answers

Answer:

2 + 2 + ?? = 4,000

?? = 3996

Step-by-step explanation:

You're welcome.

Which graph shows the solution to the inequality? x + 2 < -3 A) A B) B C) C D) D

Answers

Therefore , the solution of the given problem of inequality comes out to be the inequality x -5 is option B.

What does inequality imply in reality?

Regardless of the equal symbol, a connection or group of numbers variables can be an inequality in mathematics. Equilibrium is always followed by equity. Inequality happens when ideals are still incompatible. Differences exist between inequality expression and fairness. We chose to utilize the most prevalent symbol because elements aren't always similar or comparable (). No mater how few or many variations there are, they can all be used to evaluate values.

Here,

Option B) B is the proper response.

We must isolate x on one side of the inequality in order to answer the inequality x + 2 -3. By taking 2 away from both edges, we arrive at:

=> x < -5

According to this inequality, x is any integer that is less than -5. Since x cannot equal -5,

we must create an open circle at this point on the number line and shade to the left of it to represent all the different values of x that could be used.

Looking at the available choices, we can see that the only graph that accurately depicts the inequality x -5 is option B) B.

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Question 2 of 10
Solve the inequality for x and identify the graph of its solution.
|x+3|< 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
411
O
-8 -7 -6 -5 -4 -3 -2 -1 0 12
B. Solution: x>-5 and x < -1
+
O11
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
OC. Solution: x>-5 and x < -1
O
-8-7-6 -5 -4 -3 -2 -1 0 1 2
OD. Solution: x < 1 or x>5
O
-2 -1 0 1 2 3
3
4
O
5 6 7 8

Answers

The solution of the inequality |x+3| < 2 is -5 < x < -1.

And the graph is given in the image below.

The correct option is C.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

To solve the inequality |x+3| < 2, we need to consider two cases:

Case 1: x+3 ≥ 0

In this case, the inequality simplifies to x+3 < 2, which gives us x < -1.

Case 2: x+3 < 0

In this case, the inequality simplifies to -(x+3) < 2, which gives us -x-3 < 2, or -x < 5, or x > -5.

Combining the results from both cases, we get the solution:

-5 < x < -1

To graph the solution, we draw an open circle at x=-3

(since the absolute value is less than 2, not less than or equal to), and shade the region between -5 and -1.

Therefore, the solution is -5 < x < -1.

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What is the product of (−2)(18)(−8)?
Pls do this

Answers

Answer:

288

Step-by-step explanation:

-2 x -8 =16
16 x 18 = 288

Answer:

288

is the answer

Step-by-step explanation:

please mark brainiest

Calculate the expected value of the scenario.
xi P(xi)
11 0.24
22 0.31
33 0.01
44 0.15
55 0.29

Answers

The expected value of this scenario is 4.19.

The Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis.

To calculate the expected value, we need to multiply each outcome xi by its respective probability P(xi), and then add up all of these products. So, we have:

Expected value = 1(0.24) + 2(0.22) + 3(0.31) + 4(0.01) + 5(0.16) + 6(0.29)

Expected value = 0.24 + 0.44 + 0.93 + 0.04 + 0.80 + 1.74

Expected value = 4.19

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0.12x= 1 I need help on this please

Answers

Answer:

x=8.3 recurring

Step-by-step explanation:

1÷0.12=8.3 recurring

x=8.3 recurring

or as a fraction 8 1/3

HELP PLEASE THIS IS SOO HAARD!!!!!!!!
If a car is going at 75 mph, how far would you get in one hour?

Answers

Answer: 75

Step-by-step explanation:

MPH stands for Miles per hour

So the car drives 75 miles per hour

Caleb needs to place a ground cover
under a tent. The floor of the tent measures 82 feet by 92 feet.
He purchases a ground cover that states that it covers 90 square
feet. Will the ground cover be able to be used under the tent?
Explain your reasoning.

Answers

One cover is not enough to cover tent, Caleb will need at least 84 ground covers to cover the entire floor of the tent.

How to find the Cover area of the tent?

To determine if the ground cover will be sufficient, we need to calculate the area of the tent floor and compare it with the area covered by the ground cover.

The area of the tent floor is:

82 feet x 92 feet = 7544 square feet

The area covered by one ground cover is:

90 square feet

To determine the number of ground covers needed to cover the tent floor, we can divide the area of the tent floor by the area covered by each ground cover:

7544 square feet ÷ 90 square feet ≈ 84

Therefore, Caleb will need at least 84 ground covers to cover the entire floor of the tent. As the number of ground covers required is greater than one, we can conclude that the ground cover will be able to be used under the tent.

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Solve each system of equations by substitution. Clearly identify your solution.


y=3x+19

y=5x+33

Answers

Answer:

(x, y) = (-7, -2).

Step-by-step explanation:

To solve the system of equations:

y = 3x + 19

y = 5x + 33

We can use the substitution method, which involves solving one equation for one variable and substituting that expression into the other equation. Then we can solve for the remaining variable.

From the first equation, we can solve for y in terms of x:

y = 3x + 19

From the second equation, we can solve for y in terms of x:

y = 5x + 33

Now we can substitute the expression for y from the first equation into the second equation:

3x + 19 = 5x + 33

Simplifying this equation by subtracting 3x from both sides:

19 = 2x + 33

Subtracting 33 from both sides:

-14 = 2x

Dividing both sides by 2:

x = -7

Now that we have the value of x, we can substitute it back into either equation to find the value of y:

y = 3x + 19

y = 3(-7) + 19

y = -21 + 19

y = -2

The solution to the system of equations is (x, y) = (-7, -2).

HELP!!!!!!!!!!!!!!!!!!!!

Answers

The value of m and n is 5√2 and 5 respectively.

What is Pythagoras' theorem?

The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to Pythagoras' Theorem.

A right-angled triangle.

A 45° angle is found in a triangle.

The triangle is therefore a right-angled isosceles triangle.

Hence, n = 5.

To find m:

Apply Pythagoras' theorem,

m = √{n² + 5²}

m = √(25 + 25)

m = √50

m = 5√2

Therefore, m = 5√2.

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Suppose you're deciding where to order a Hawaiian pizza, and waiting time is a concern of yours. You're considering Krazy Karl's Pizza where the average waiting time is 64 minutes, with a standard deviation of 4. 5 minutes. Or, you might call Domino's Pizza where the average waiting time is 54. 6 minutes, with a standard deviation of 8. 1 minutes.

Z-score for a waiting time of

65 minutes at Krazy Karl's: 0. 222

61. 1 minutes at Domino's: 0. 802

1. How many standard deviations away from the average is a wait time of 71. 8 minutes from Krazy Karl's?

2. About 50% of wait times from Krazy Karl's are smaller than ___ minutes

3. About 95% of wait times for Krazy Karl's are approximately between __ minutes and __ minutes.

4. About 99. 7% of wait times for Domino's are approximately between___ minutes and ___ minutes.

5. How long would you have to wait for a Domino's pizza to be in the same percentile as a wait time of 74 minutes from Krazy Karl's? In other words, what wait time for Domino's is "equivalent" to a wait time of 74 minutes from Krazy Karl's?

6. How long would you have to wait for a Krazy Karl's pizza to be in the same percentile as a wait time of 54 minutes from Domino's? In other words, what wait time for Krazy Karl's is "equivalent" to a wait time of 54 minutes from Domino's?

Answers

Answer:

vydbskehhwbe

Step-by-step explanation:

bshhdvjebheunsns

In triangle ABC, Angle C is a right angle. Find the value of the trig function. Find the Tan A if c=7√10 and a=21

Answers

Answer:

tan A= 8/15

draw triangle where A and B are legs and C is hypotenuse

A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)

8^2+b^2=17^2

64+b^2=289

b^2=225

b=15

tan= opposite/adjacent

tan A=8/15

Match the cylinder in the left column with its surface area in the right column

Show work please!! I need this ASAP

Answers

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

The surface area of a cylinder is:

Surface area = 2πr(r + h)

where r is the radius and h is the height

1) r = 5 in., h = 11 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²

2) r = 6 in., h = 10 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²

3) r = 2 in., h = 12 in. and π = 3.14, hence:

Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²

The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively

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x+2x+6+8 > x+3+52x+3-5+3x Phil spent $21 of his $115 pocket money on eating out for one meal. What percent of Phil's pocket money did he spend on eating out for one meal? Round your answer to the nearest hundredth. 8. (20 marks) A company's first- and second-year operations can be summarized as follows: Revenues ($/year) = $110 000 b Expenses ($/year) (except CCA): $65 000 Capital asset purchases in the first year totaled $100 000, and none in the second year. i With a CCA rate of 20% and a tax rate of 55%, how much income tax was paid in year 1? ii With a CCA rate of 20% and a tax rate of 55%, how much income tax was paid in year 2? TheBased on clues from the text, what is themeaning of the word differentiation? Math question 6 help (0)Michigan Manufacturing produces a product that has a 6-month demand cycle. Each unit requires 10 worker-hours to produce, at a labor cost of $6 per hour regular rate (or $9 per hour over time). The total cost per unit is estimated at $200, units can be subcontracted at a cost of $208 per unit. There are currently 20 workers employed in the subject department, and hiring and training costs for additional workers are $300 per person, where layoff costs are $400 per person. Company policy is to retain a safety stock equal to 20 percent of the monthly forecast, and each months safety stock becomes the beginning inventory for the next month. There are currently 50 units in stock carried at a cost of $2 per unit-month. Unit shortage, or stock outs has been assigned a cost of $20 per unit month. Grammar Energizer 2 A Gerund or Infinitive? - Expect a few items on this common grammar topic. As you look for the answers to the que pay attention to the words in bold and think carefully about the function and/or structure of the missing words. 2. 1. He refuses A. The match was so bad it wasn't worth being watching to be watching it watching to have watched it B. C. D. A. B. D. C. C. D. They were asked A. not to talk B. that they didn't talk to not talking to talk not I suggest A. B. up his room. to cleaning cleaning that he will clean to clean to rent that we rent us to rent we rented during the exam. a DVD tonight. 7. 8. After college, she went on A. and becomes B. C. D. becoming to become and would become They were pleased A. B. C. D. hearing having heard to be heard to hear 9. I'd rather go out A. B. C. D. 10. They looked forward A. B. C. D. Extra Ge if you c the good new to stay home watching than stay home to watch than staying home to to stay home and watch the soccer match watching their trophies receiving to receiving to receive when they would receive Review the graph of function f(x), which is defined for 6 x 8. On a coordinate plane, a line goes from closed circle (negative 6, 6) to closed circle (2, negative 8). A line goes from open circle (2, 0) to closed circle (8, 6). Which one-sided limit does not exist? Limit of f (x) as x approaches 2 plus Limit of f (x) as x approaches 2 minus Limit of f (x) as x approaches negative 6 plus Limit of f (x) as x approaches negative 6 minus HelpAnswer number 9 algebra 2Show work Triangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2 Determine the coordinates of the image if triangle ABC is translated 4 units down. A(1, 6), B(9, 6), C(5, 2) A(1, 2), B(9, 2), C(5, 6) A(5, 2), B(13, 2), C(9, 2) A(3, 2), B(5, 2), C(1, 2) Write a formula for the given measure. Tell what each variable represents. Identify which variable depends on which in the formula.1. The perimeter of a rectangle with the length of 4 meters.2. The area of a triangle with a base length of 10 feet. x + sin x, if x < 0F(x) = { 2, if x=02/(1+x^2), if x > 0a) Determine if f is continous from the left at x =0b) Determine if f is continous from the right at x =0c) Determine if f is continous at f = 0 Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years. a. Let's consider your existing mortgage: i. How much money did you pay as your down payment? ii. How much money was your mortgage (loan) for? iii. What is your current monthly payment? iv. How much total interest will you pay over the life of the loan? b. This year, you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $150,000. i. How much of the loan have you paid off? (i.e., how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.) ii. How much money have you paid to the loan company so far? iii. How much interest have you paid so far? iv. How much equity do you have in your home (equity is value minus remaining debt) short answers describe the contributions to english culture from the normans? what cells respond to signal molecules?cells with receptors that can bind to the ligands being released. different cell types express different populations of receptors? Rewrite the equation using the distributive property and solve for x. 5 ( x -1) = 25please show all steps clearly if you answer. 2. If a mutation happens in the DNA that changes the T at base 10 to a C: a) What would be the mutated sequence of nucleotides in the corresponding codon in the mRNA and the anticodon in the tRNA? (2 points) mRNA codon: Changes from____ to ____tRNA anticodon: Changes from ____to ____b) What is the effect of this mutation in the sequence of amino acids in a protein? Be very specific and explain WHY changes or does not change (1 point) c) What is the name of this type of mutation? H i there what is the answer for this How cell communication occurs as 'Principles ofreceptor-mediated cell communication as illustrated by signallingvia G protein-coupled receptors f(2)=5_(2^(2))+3_(2+1)Given this function, what is the output