Use the quadratic formula to determine the exact solutions to the equation.
222 – 50+1=0
Enter your answers in the boxes.
x=
or x =

Answer: The Mean Absolute Deviation (MAD) is 2.5.

Step-by-step explanation:

The mean absolute deviation of the data set {8, 11, 12, 17} is calculated by first finding the average of the numbers, then calculating the absolute deviations from this mean, and finally averaging those deviations to get a MAD of 2.5.

To calculate the mean absolute deviation (MAD) of the data set {8, 11, 12, 17}, we first find the mean of the data set and then find the average of the absolute deviations from this mean. The mean (average) of the data set is calculated by adding all the numbers together and dividing by the number of numbers, which in this case gives us (8 + 11 + 12 + 17) / 4 = 48 / 4 = 12.

We then calculate the absolute deviations from this mean for each number: |8 - 12| = 4, |11 - 12| = 1, |12 - 12| = 0, and |17 - 12| = 5. Finally, we calculate the average of these absolute deviations: (4 + 1 + 0 + 5) / 4 = 10 / 4 = 2.5. Therefore, the mean absolute deviation of the data set {8, 11, 12, 17} is 2.5.

Answer: Option D.

Step-by-step explanation:

By definition, the absolute value of a number is its distance from 0 on a number line. We know that the distances cannot be negative. Then:

[tex]|-a|=a[/tex]

We can assume that the water is at level 0.

We know that the diver dove from a diving platform, which is 4 feet above the water, and then she stopped at -8 feet to pick up some scallops.

This indicates that she stopped at 8 feet below the water.

Therefore, in order to find how far below the diving platform the diver is, we must add 4 feet and the absolute value of -8 feet.

Then, the expression that models this situation is:

[tex]4+|-8|[/tex]

Notice that it matches with the expression shown in Option D.

Answer:

4dg=40cg

Because dg to cg rate is 1:10

Answer:

4000 cgs

Step-by-step explanation:

This one requires 2 sets of brackets. You are best to work in grams.

1 dg = 10 grams

1 cg = 0.01 grams.

I wouldn't fret about this if I were you. This is the first time I've actually used these units. Most likely if you really need them, you can just look them up.

4 dg * [10 grams / 1 dg] * [ 1 cg / 0.01 grams]

40 grams * 1 cg / 0.01 grams

= 4000 cgs.

Notice the first set of brackets get's rid of the dgs

the second set of brackets gets rid of the grams.

Take the total price - rate . 0.12

38 - 8 = 30 / 0.12 = 250 <- The customer used 250 mins.

Hope I helped :)

Answer:

67

Step-by-step explanation:

First number between 100 to 500 which is divisible by 6 is 102

Multiples of 6 between 100 to 500 :

102,102+6,102+6+6,....

This Forms an AP

a= first term = 102

d = common difference = 6

Last number between 100 to 500 which is divisible by 6 is 498

So, [tex]a_n=498[/tex]

Formula of nth term = [tex]a_n=a+(n-1)d[/tex]

[tex]498=102+(n-1)6[/tex]

[tex]498-102=(n-1)6[/tex]

[tex]396=(n-1)6[/tex]

[tex]\frac{396}{6}=n-1[/tex]

[tex]66=n-1[/tex]

[tex]66+1=n[/tex]

[tex]67=n[/tex]

Hence there are 67 multiples of 6 between 100 to 500.

Answer:44

Step-by-step explanation:

The equation relates Alice’s and Martha's ages in years. Alice’s age (a) = Martha’s age (m) + 22 The blank spots on table are filled by 33-11 and 48-26.

An equation represents the equality of two or more mathematical expressions.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The table shows Alice's age (a) and her daughter Martha's age (m).

In order to find the blank spots, we need to find the difference in the filled spots. We are trying to figure out the difference which is subtraction.

28 - 6 = 22

37 - 15 = 22

To find Martha's age when Alice was 33, we would subract 22.

33 - 22 = 11

similarly, when Alice was 48.

48 - 22 = 26

And the last equation is asking the difference between them, which is 22.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

  1.)  y = 1.10(x – 1) + 1.35

Step-by-step explanation:

When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...

  y = 1.10(x -1) +1.35

_____

Comment on the function rule

Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.

Answer:

Step-by-step explanation:

-1 is included in the inequality. 2 is not included.

-1 ≤ x < 2

So this reads as x is greater than or equal to - 1 and x is less than 2.

Answer: -1 less equals x < 2

The like terms are 1.3b and -3.2b because they both have the variable b attached to it so you may combine them

(1.3b + (-3.2b) ) + 7.8

-1.9b + 7.8

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer: The answer I got was 39

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 43

because you have to minus 2 from the girls each time to get the boy answer. Hope this helps :)

Step-by-step explanation:

Answer:  customer is incorrect  

Step-by-step explanation:

I am working this from b first

b $800 x .20 (20%) = $160 discount

$800 - $160 = $640 customers price

the price of the computer after the 20% discount would be $640

a  customer thinks seller is going to break even  this is not true

$640 (customer cost after discount) x .20 (20% discount) =$ 128

$640 + $128 = $768

Cost of the laptop before the 20% markup is $667.67

$666.67 x .20 = $133.33

$666.67 + $133.33 = $800

$768 ≠ $667.67

Answer:

-6

Step-by-step explanation:

-9+4=-5-3=-8+2=-6

Answer:

The length of the diagonal of a poster board is [tex]35.6\ in[/tex]

Step-by-step explanation:

Let

x----> the length of the diagonal of a poster board

we know that

Applying the Pythagoras Theorem

[tex]x^{2}=22^{2}+28^{2} \\ \\x^{2}=1,268\\ \\x=35.6\ in[/tex]

Answer:

The length of the diagonal of a poster board is 35.6 inches.

Step-by-step explanation:

To find : What is the length of the diagonal of a poster board with dimensions 22 inches by 28 inches?

Solution :

The dimensions of a poster board is

Length = 22 inches

Breadth = 28 inches

The diagonal is given by,

[tex]D=\sqrt{L^2+B^2}[/tex]

[tex]D=\sqrt{22^2+28^2}[/tex]

[tex]D=\sqrt{484+784}[/tex]

[tex]D=\sqrt{1268}[/tex]

[tex]D=35.60[/tex]

Therefore, the length of the diagonal of a poster board is 35.6 inches.

6.5 x 4 = 26

The perimeter of the square is 26 ft.

Answer: 26 ft

Step-by-step explanation: you have add all sides.

Answer:

x = 63 degrees.

Step-by-step explanation:

So first, 2y - 30 = 68 degrees.

It is because of alternative interior angles.

2y - 30 = 68

2y = 98   Move the -30 to the other side

98/2 = 49  So, y = 49

So in a triangle, the 3 angles equal 180 degrees.

So you do 49 + 68 = 117 degrees. You do this, because the 2 angle not including x is 49 and 68

Then you subtract 117 from 180

180 - 117 = 63 degrees. You do this because the 3 angles of a triangle equal 180 degrees.

So x = 63 degrees

Answer:

x = 63

Step-by-step explanation:

Since AB and CD are parallel lines, then

2y - 30 = 68 ( corresponding angles )

Add 30 to both sides

2y = 98 ( divide both sides by 2 )

y = 49

The third angle in the triangle = 68 ( alternate angles )

The sum of the 3 angles in the triangle = 180°, that is

x + y + 68 = 180 ← substitute value of y

x + 49 + 68 = 180

x + 117 = 180 ( subtract 117 from both sides )

x = 63

Answer:

x = 42

y = 38

Step-by-step explanation:

for y:

there is a corresponding angle at 58° so y + 20 must equal to 58. ∴y = 38°

for x :

first locate the straight angle at CD. The angle opposite 58° must also be 58° as it is vertically opposite. We have two values here.. 58° and 22°. Use your knowledge of straight angles and add 22 + 58, which equals to 80. Now subtract from 180 which = to 100°. We know that the angle sum of a Δ is 180° so add 38 and 100, which will give you 138°. Subtract from 180 to give you a total of 42°

Sorry if this was very lengthy haha

hope it helps:)

Answer:

x = 4

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = area of triangular face × length

Area of triangle = [tex]\frac{1}{2}[/tex] bh

b is the base and h the perpendicular height

here b = 9 and h = 12 ← sides at right angles

A = [tex]\frac{1}{2}[/tex] × 9 × 12 = 54 m²

The length of the prism = x and V = 216, hence

54x = 216 ( divide both sides by 54 )

x = 4

2 is correct, because:

1) we have a close interval

2)we must have node on x=-5

Answer:

Part 1) The surface area is [tex]SA=35.1\ cm^{2}[/tex]

Part 2) The volume is equal to [tex]V=12.15\ cm^{3}[/tex]

Step-by-step explanation:

The question in English is

The bases of a right prism are two rectangle triangles whose legs measure 1.5 cm and 1.8 cm, respectively, the prism has a height of 4.5 cm. calculates its total surface area and volume

Part 1) Find the surface area

The surface area is equal to

[tex]SA=2B+Ph[/tex]

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

Find the area of the base B

[tex]B=(1.5)(1.8)=2.7\ cm^{2}[/tex]

Find the perimeter of the base P

[tex]P=2*(1.5+1.8)=6.6\ cm[/tex]

we have

[tex]h=4.5\ cm[/tex]

substitute the values

[tex]SA=2(2.7)+(6.6)(4.5)=35.1\ cm^{2}[/tex]

Part 2) Find the volume

The volume is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height of the prism

we have

[tex]B=2.7\ cm^{2}[/tex]

[tex]h=4.5\ cm[/tex]

substitute

[tex]V=(2.7)(4.5)=12.15\ cm^{3}[/tex]

False, the min and max of A are the same distance as the min and max of B from each other, therefore the standard deviation is the same.

The I-value of the solution of the given system of equations is -2.

The I-value of the solution of the given system of equations can be found by solving the equations simultaneously.

We can solve the system of equations using the method of substitution or the method of elimination. In this case, let's use the method of substitution.

First, solve one equation for x in terms of y or vice versa. Let's solve the second equation for x:

3x - y = -11  => 3x = y - 11  => x = (y - 11)/3

Now substitute this value of x into the first equation:

x + 3y = 13  => (y - 11)/3 + 3y = 13  => (y - 11 + 9y)/3 = 13  => 10y - 11 = 39  => 10y = 50  => y = 5

Finally, substitute the value of y back into one of the original equations to find the value of x. Let's substitute y = 5 into the second equation:

3x - 5 = -11  => 3x = -6  => x = -2

Therefore, the solution to the system of equations is x = -2 and y = 5. The I-value of the solution is x, so the I-value is -2.

Final answer:

To determine the I-value for the given equations, we apply algebraic methods to solve for x and y; however, it's not possible to find an I-value without further context as I typically represents current in electrical engineering.

Explanation:

To find the I-value of the solution to the system of equations x + 3y = 13 and 3x - y = -11, we can use the method of substitution or elimination. However, the question seems to be a mix of content as it initially presents equations that are typical of algebra but then refers to finding a value for I1 which is more in line with physics or engineering contexts, particularly with circuit analysis where I represents current. Since we are given two standard linear equations, we will solve them as algebraic expressions to find the values of x and y.

Solution:

First, we solve one of the equations for one variable and then substitute it into the other. Let's solve the first equation for x:

x = 13 - 3y

Next, we substitute this expression for x in the second equation:

3(13 - 3y) - y = -11

Simplify and solve for y:

39 - 9y - y = -11

-10y = -11 - 39

-10y = -50

y = 5

Now, substitute y into the expression we found for x:

x = 13 - 3(5)

x = 13 - 15

x = -2

The solution to the system of equations is x = -2 and y = 5. If the variable I is meant to represent the current in a circuit, this solution does not directly provide the I-value without additional context of the circuit's parameters.

Answer:

B

Step-by-step explanation:

If you have the a,b,c,d

Answer:(-6,-10)

Step-by-step explanation:

Let’s say that A is (-5,-6) and B is (-3,2). The slope of AB is (-6-2)/(-5+3)=(-8)/(-2)=4

The equation of AB is:

y-2=4(x+3)

y=4x+14

The lines intersect in:

4x+14=x-4

3x=-18

x=-6

(-6,-10)

The average number of feet per day they need to ascend is 'Feet climbed per day ≥ 1,761.5'.

The mountain climbing team must calculate the average number of feet to climb each day in order to reach the summit of Mount Everest, which is at an altitude of 29,029 feet. Starting from an altitude of 18,460 feet, the team needs to climb the remaining distance to the summit within 6 days. To find the average feet per day they need to ascend, we use an inequality.

First, we determine the total feet that the team must climb:

Total feet to climb = Summit altitude - Current altitude
                        = 29,029 feet - 18,460 feet
                        = 10,569 feet

Now we divide the total feet by the number of days to find the average feet per day:

Average feet per day = Total feet to climb / Number of days
                      = 10,569 feet / 6 days

Since the team must climb at least this average number of feet daily, the inequality will be:

Feet climbed per day ≥ 10,569 feet / 6 days

By solving the inequality, we find that the team must climb at least 1,761.5 feet per day.

Therefore, the inequality to represent the average number of feet the team must climb per day to reach the summit within 6 days is:

Feet climbed per day ≥ 1,761.5

To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

To find the missing lengths of the sides, you need to use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). So, the equation is: a² + b² = c².

For example, if b is missing and c is 16, you can plug the values into the equation and solve for b: a² + b² = 16². Once you find the value of b, you can follow the same process for the other missing lengths.

Remember to square each side length before adding them. Then, find the square root of the sum to find the length of the hypotenuse.

988

A year later will depreciate $294

The following year $253

On the third year $217

The fourth year. $187

And the 5th year. $161

Answer:

Step-by-step explanation:

[tex]100\%-14\%=86\%=0.86\\\\0.86\cdot\$2,100-\text{after the first year}\\0.86\cdot(0.86\cdot\$2,100)=0.86^2\cdot\$2,100-\text{after the second year}\\0.86\cdot(0.86^2\cdot\$2,100)=0.86^3\cdot\$2,100-\text{after the third year}\\\vdots\\0.86^5\cdot\$2,100\approx\$988-\text{after the fifth year}[/tex]

19200! hope this helps! good luck

Answer:

800 yards

Step-by-step explanation:

80 x 4 + 12 x 4 = 800

Hope this helps!