write the expression in the form of y'n
​

Answer:

114 ounces

Step-by-step explanation:

30+27=57

then multiply by 2 to get 114

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

Answer:

b

Step-by-step explanation:

got it right on edge

Answer:

with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.

Step-by-step explanation:

The drop down menu is used to match each situation as below.

1. The rocket reached its maximum  the x-value of the vertex

height in 5 s.

2. ground level                                    the y-intercept

3. The rocket launcher was                the y-value of the point containing

on the ground.                                     the x-intercept on the right

4. The rocket was in the air 10           the x-intercept on the right                                                                                    

5. The maximum height of the           the y-value of the vertex

rocket is 50 ft.

6. the time the rocket was                the x-value of the point containing the

launched                                          y-intercept

The key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.

The vertex is the point the rocket had the maximum and height.

Generally, the curve traces a parabolic path

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Answer:

23 years old

Step-by-step explanation:

Let x = age of younger sibling.

Then, the age of the older sibling is x + 9.

x + x + 9 = 55

2x = 46

x = 23

Answer: 23 years old

The A's age  is 26 years and B's age is 24 years

Let the ages of A and B be x and y years respectively. Then, \($x-y=\pm 2\)Given

D's age \($=2 x$\)years and, C's age\($=\frac{y}{2}$\) years.

Clearly, D is older than C

\($2 \mathrm{x}-\frac{\mathrm{y}}{2}=40 \Rightarrow 4 \mathrm{x}-\mathrm{y}=80$\)

Thus, we have the following two systems of linear equations\($x-y=2$\).(i)

and, \($4 x-y=80$\)(ii)

or

\($x-y=-2$\) (iii)

and, \($4 x-y=80$\)..(iv)

Subtracting equation (i) from equation (ii), we get \($3 \mathrm{x}=78 \Rightarrow \mathrm{x}=26$\)Putting \($\mathrm{x}=26$\) in equation (i), we get \($\mathrm{y}=24$\)or

Subtracting equation (iv) from equation (iii), we get \($-3 \mathrm{x}=-82 \Rightarrow \mathrm{x}=\frac{82}{3}=27 \frac{1}{3}$\)

Putting \($\mathrm{x}=\frac{82}{3}$\)in equation (iii), we get

\($\mathrm{y}=\frac{82}{3}+2=\frac{88}{3}=29 \frac{1}{3}$\)

Hence, A's age =26 years and B's age =24 years or

A's age =\(27 \frac{1}{3}$\) years and B's age\($=29 \frac{1}{3}$\) years.

The complete question is,

A and B are friends and their ages differ by 2 years. A's father D is twice as old as A and B is twice as old as his sister C. The age of D and C differ by 40 years. Find the ages of A and B.

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By Pythagorean theorem

x²+GF²=EF² ( where G is the point of intersection of perpendicular lines)

now, GF=1/2 EF= 12

x²+12²=24²

x²=24²-12²

x²=432

x=√432

x=12√3

x≈20.78

Answer:

(67, 81)

Step-by-step explanation:

Given that :

Five number summary of scores :

55, 67, 73, 81, 98

Five number summary :

Minimum = 55

Lower quartile = 67

Median = 73

Upper quartile = 81

Maximum = 98

Interval which represents the middle 50% of the grade distribution is the interquartile range, which is the difference between the upper and lower quartile

Hence the interval is ;

Q1, Q3

Q1 = 67 ; Q3 = 81

(67, 81)

An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. The relations are: x+3, 3x², 3ˣ

An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign.

Finding the relations:

Relationship 1:

The y-values have a common difference of 1, so the relationship is linear with as slope of 1. The only matching choice is (x+3), which matches the values of y1.

Relationship 2:

The y-values have differences that increase with a common difference. They are (3-0) = 3, (12-3) = 9, (27-12) = 15, (48 -27) = 21. The second differences are (9-3) = 6, (15-9) = 6, and so on with all second differences being 6. This tells you that a second-degree polynomial can model this sequence. The only matching choice is 3x² which matches the values of y².

Relationship 3:

The y-values have increasing differences that also have increasing differences. The values have a common ratio of 3, indicating an exponential function will model this sequence. The only matching choice is (3ˣ), which matches the values of y³.

Therefore the relations are: x+3, 3x² and 3ˣ

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Answer: Hope you guys can see it

Step-by-step explanation:

The solution to the simultaneous equations is; 5 comma one half

The simultaneous equations are;

y = -¹/₂x + 3    -------(1)

y = ¹/₂x - 2    -------(2)

Substitute ¹/₂x - 2 for y in eq 1 to get;

¹/₂x - 2 = -¹/₂x + 3

Add -¹/₂x to both sides using addition property of equality to get;

¹/₂x + ¹/₂x - 2 = 3

Add 2 to both sides using addition property of equality to get;

x = 3 + 2

x = 5

Thus;

y = ¹/₂(5) - 2

y = ¹/₂

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Answer:

Solve the system of linear equations by graphing.

y equals negative one half times x plus 3

y equals one half times x minus 2

Step-by-step explanation:

The average slope of the line is 0.5 and the slope represent the steepness of rocket.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Given that, a graph of the altitude in kilometers versus the time after launch in seconds.

From the given table we have (190, 150) and (192, 151).

Slope (m) = (151-150)/(192-190)

= 1/2

= 0.5

Hence, the average slope of the line is 0.5 and the slope represent the steepness of rocket.

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Answer:

\(\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}\) respectively

Step-by-step explanation:

From the question we are told that

Facility A =36 pieces/box

Facility B =28 pieces/box

Facility C =20 pieces/box

Let the Fruit received be F

Generally the Facility A's number of boxes is mathematically given by

\(36 pieces=1 box\)

Total Pieces=F

Therefore

Facility A's total amount of box = F/36

Generally the Facility B's number of boxes is mathematically given by

\(28pieces=1box\)

Therefore

Facility B's total amount of box = F/28

Generally the Facility C's number of boxes is mathematically given by

\(20pieces=1box\)

Therefore

Facility C's total amount of box = F/20

Therefore

Each Facility will make us of \(\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}\) respectively in packing there allocated Fruit.

Answer:

0 students love the museum

Step-by-step explanation:

since the percentage of students that love the museum is zero, no matter how many students went, the number of people who like the museum will always be 0

now if 100 students went and 32% loved the field trip, then you would take 32% of the amount of students who went, to find the exact number of students who liked the field trip

32% of 100 is 32, so in my example, 32 people loved the museum

Based on the information in the image, it can be inferred that the sides of the box measure 5 cm each.

To find the measure of the sides of the box we must carry out the following mathematical procedure:

As we know the volume of a cube is the equivalent to the length of its sides raised to the cube (raised to the 3). In this case, to identify the value of the sides we must find the cube root of the volume and the result is the length of the sides.

So this cube has a volume of 125cm³, so its sides would be the cube root of 125.

\(\sqrt[3]{125} = 5\)

According to the above, the length of the sides is 5 taking into account that all the sides are equal.

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

10% of 1 is .1

D. .90 - 1.10 lb

Answer:

The answer is D

Step-by-step explanation:

The answer is D because you don't know if the added 10% or took away 10%

Answer:

30/420 or 1/14

Step-by-step explanation:

3*2*7/5*7*12= 30/420 simplify the you get 1/14

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer: An open circle at the end of an interval means that the end point is not included in the interval, i.e. strictly less than or strictly greater than. A closed circle means the end point is included (equal to).

Step-by-step explanation: Mark Me Brainliest.

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

9514 1404 393

Answer:

  4f^2 -4f +1

Step-by-step explanation:

It can be useful to memorize the form of the square of a binomial:

  (a +b)^2 = a^2 +2ab +b^2

Here, you have a=2f and b=-1. Then the square is ...

  (2f)^2 +2(2f)(-1) +(-1)^2 = 4f^2 -4f +1

__

More generally, the distributive property applies.

  (2f -1)^2 = (2f -1)(2f -1) = 2f(2f -1) -1(2f -1)

  = (2f)(2f) +(2f)(-1) +(-1)(2f) +(-1)(-1) = 4f^2 -2f -2f +1 = 4f^2 -4f +1

The expression which has the same value as -3/7 - 7/8 is -73/56

A fraction refers to a number which has a numerator and a denominator.

A numerator is the upper value of a fraction while a denominator is the lower value of a fraction.

A fraction can be added or subtracted by finding the lowest common multiple of the denominator.

-3/7 - 7/8

= (-24-49) / 56

= -73/56

In conclusion, -73/56 is equivalent to -3/7 - 7/8

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Answer:

\( \sf \: \frac{ - 73 \: }{ \: 56} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)

Let's solve the problem,

\( \sf \rightarrow \: \frac{ - 3 \: }{ \:7} - \frac{7}{8} \)

\( \sf \rightarrow \: \frac{( - 3) \times 8}{(7) \times 8} - \frac{(7) \times 7}{(8) \times 7} \)

\( \sf \rightarrow \: \frac{ - 24 \: }{ \: 56} - \frac{49}{56} \)

\( \sf \rightarrow \: \frac{( - 24 \: - \: 49)}{56} \)

\( \sf \rightarrow \: \frac{ - 73 \: }{ \: 56} \)

Hence, answer is -73/56.

The given expression is

First, we combine like terms

Then, we divide each side by 2

Answer:

C. 400

Step-by-step explanation:

Subtract 600 by 200, and get your answer.

Answer:

C

Step-by-step explanation:

600-200=400 that's your answer

To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!

The point slope formula is ...

\(y - y_{1} = m ( x - x_{1} )\)

So lets put them in!

y - 4    =    2/3     (x - (-3))

Tip: remember when you subtract a negative number, it turns into adding !

So our final answer is probably D (I think you may have put a typo)

\(y - 4 = \frac{2}{3} (x + 3)\)

Answer:

\(x=\frac{28}{9}\)

Step-by-step explanation:

\(\frac{3x}{4} =\frac{7}{4}\)

\(\Longleftrightarrow \left( 3x\right) \times 3=7\times 4\)

\(\Longleftrightarrow 9x=28\)

\(\Longleftrightarrow x=\frac{28}{9}\)

Answer:

\(\theta = 148.8\)

Step-by-step explanation:

Given

\(R_x = -419\)

\(R_y = -253\)

\(R = 490\)

Required

Determine the value of \(\theta\)

Since, \(\theta\) is counter clockwise from x axis;

The relationship between \(\theta\), \(R_x\) and R is

\(cos\theta = \frac{R_x}{R}\)

Substitute values for Rx and R

\(cos\theta = \frac{-419}{490}\)

\(cos\theta = -0.8551\)

Take arccos of both sides

\(\theta = cos^{-1}(-0.8551)\)

\(\theta = 148.770784108\)

\(\theta = 148.8\) (Approximated)

Answer:

I think your answer is  \(\frac{2}{5} x-3\)

Step-by-step explanation: