Attempt TOT
Find the mean of the following data set.
42, 45, 58, 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:

[tex]\frac{17x-5826}{3x+2}[/tex]

Step-by-step explanation:

The polynomial - 18x³ + 17x + 6 is divided by 3x + 2. Then the polynomial will be - 6x² + 4x + 3.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

               - 6x² + 4x + 3

3x + 2 ) - 18x³ + 17x + 6

            - 18x³ - 12x²

                      + 12x² + 17 x + 6

                      + 12x²  + 8x

                                 + 9x + 6

                                + 9x + 6

                                     0  

More about the division link is given below.

https://brainly.com/question/369266

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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]

Answer:

354.

Step-by-step explanation:

Exponential growth:

380 = 200e^(k*9)     where k is a constant to be found.

e^9k = 380/200 = 19/10

ln e^9k = ln 1.9

9k = ln 1.9

k = ln 1.9 / 9

k = 0.071

After 8 hours:

Number of bacteria =

200*e^(8*0.071)

= 354.

You need to multiply the amount it is dropping per day by the number of days, so you would have 0.3d

You would then need to subtract that amount from the current level of 25 feet.

Now you have 25 - 0.3d.

This total needs to be greater than or equal to 13 feet.

25 -0.3d ≥ 13

Answer:

x² + y² = 225

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ← r is the radius, so

x² + y² = 15², that is

x² + y² = 225

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.

Answer:

-6

Step-by-step explanation:

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

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.

19200! hope this helps! good luck

Answer:

800 yards

Step-by-step explanation:

80 x 4 + 12 x 4 = 800

Hope this helps!

2 is correct, because:

1) we have a close interval

2)we must have node on x=-5

Answer:

(144) is the homogeneous mixture

Answer:

Ac = 144

Step-by-step explanation:

From the figure we can see two similar triangles,Ratio of sides of similar triangles are equal.

To find the value of x

From the figure we can write,

7/84 = x/(156 - x)

1/12 = x/(156 - x)

156 - x = 12x

13x = 156

x = 156/13 = 12

To find the value of AC

AC = 156 - x

 = 156 - 12

 = 144

Therefore AC = 144

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]

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:  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:

C

Step-by-step explanation:

If two events are independent, the probability of both happening are:

P(A and B) = P(A) × P(B)

In this case, if rain and lightening were independent:

P(rain and lightening) = P(rain) × P(lightening)

P(rain and lightening) = 0.45 × 0.45

P(rain and lightening) = 0.2025

However, we're told that P(rain and lightening) is 0.25, not 0.2025.

Since 0.2025 ≠ 0.25, the events are not independent, so they are dependent.

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:

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:

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

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:(-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)

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.

Answer:

y = 2x

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 0.8 when x = 0.4

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.8}{0.4}[/tex] = 2

y = 2x ← equation of variation

To find an equation of direct variation given that y = 0.8 when x = 0.4, we use the form y = kx to determine the constant k, which is 2. Thus, the equation of variation is y = 2x.

To find an equation of direct variation where y varies directly as x, we use the form y = kx, where k is the constant of variation.

Given that y = 0.8 when x = 0.4, we can substitute these values into the equation to find k.

Solving for k, we get k = y / x = 0.8 / 0.4 = 2. Therefore, our equation of variation is y = 2x.

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:

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Answer:

1260

Step-by-step explanation:

Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.

By rounding 0.65 to the nearest tenth and 1754 to the nearest hundred, we get 0.7 and 1800 respectively. Multiplying these gives an estimated product of 1260.

To estimate the answer by rounding the first number to the nearest tenth and the second number to the nearest hundred, we start by determining the rounded numbers. The number 0.65 rounded to the nearest tenth is 0.7, and the number 1754 rounded to the nearest hundred is 1800. Multiplying these two rounded numbers together gives us 0.7 × 1800 = 1260.

Therefore, by rounding before multiplying, we can estimate that 0.65 × 1754 is approximately 1260. This estimation technique helps simplify calculations and is very useful when an exact answer is not required, especially when dealing with large numbers or calculations that would otherwise be complex.

Step-by-step explanation:

[tex]f(x)=3x-4\\\\\text{Put the values of x from table to the equation of}\ f(x):\\\\f(-3)=(3)(-3)-4=-9-4=-13\\f(-1)=(3)(-1)-4=-3-4=-7\\f(0)=(3)(0)-4=0-4=-4\\f(2)=(3)(2)-4=6-4=2\\f(5)=(3)(5)-4=15-4=11\\\\\begin{array}{c|c}x&f(x)\\-3&-13\\-1&-7\\0&-4\\\bold{2}&\bold{2}\\5&11\end{array}[/tex]

[tex]g(x)=x^2-2\\\\g(-3)=(-3)^2-2=9-2=7\\g(-1)=(-1)^2-2=1-2=-1\\g(0)=0^2-2=0-2=-2\\g(2)=2^2-2=4-2=2\\g(5)=5^2-2=25-2=23\\\\\begin{array}{c|c}x&g(x)\\-3&7\\-1&-1\\0&-2\\\bold{2}&\bold{2}\\5&23\end{array}[/tex]

f(x) = g(x) for x = 2 (look at the tables)

When x=-2

f(x) =3(-2) -12 =-6-12=-18

When x=2

f(x) = 3(2)-12=6-12=-6

So For the domain (-2,2)

Range of the function f(x) is (-18,-6)

So (-18 ,-6). is your answer.

Hope it helps....

Regards,

Leukonov/Olegion.

The range of the function f(x) = 3x - 12 for the domain (-2, 2) is (-18, -6). This is determined by finding the function's output at x = -2 and x = 2, which are the endpoints of the specified domain.

The question asks for the range of the function f(x) = 3x - 12 given the domain (-2, 2). To determine the range, we calculate the output values of the function using the endpoints of the domain.

For the lower endpoint of the domain, x = -2: f(-2) = 3(-2) - 12 = -6 - 12 = -18.

For the upper endpoint of the domain, x = 2: f(2) = 3(2) - 12 = 6 - 12 = -6.

Since the function is a straight line (which is continuous and has a constant rate of change), the range over the interval (-2, 2) is all values between f(-2) and f(2), though not including the endpoints since the domain is open. Thus, the range is (-18, -6).

The correct answer is B. (-18, -6).

(I just did this quiz lol)

Answer:

42 yards

Step-by-step explanation

we know that

The volume of the triangular prism is equal to

where

B is the area of the triangular base

H is the height of the prism

Convert 9 Ft to yd

Remember that

1 ft=1/3 yd

9 ft=9*(1/3)=3 yd

Find the area of the base B

we have

substitute the values in the formula

v=BH

v=(6)(7)=42 yd

Answer:

42

Step-by-step explanation:

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.