- What is the value of 2.7 X 4.1
A. 1,107 B. 11,07 C. 110'7
D. 1,107

Answer:

Option D

Step-by-step explanation:

Total number of posters Rhett puts up = 9

                Printing cost of each poster = $2

                                    ∴Total cost on posters = (\(\frac{2 dollars}{1 poster}\)) × (9 posters)

                                                                           = $18

Note: The unit multiplier used above is arranged in a way that the current unit of “posters” is cancelled out and the answer is assigned with the new unit of “dollars".

Number of fliers Rhett gives out = x

Printing cost of each flier = $0.20

                                    ∴Total cost on fliers = \(\frac{0.20 dollars}{1flier}\) × (x fliers)

                                                                      = $0.20x

Note: The unit multiplier used above is arranged in a way that the current unit of “fliers” is cancelled out and the answer is assigned with the new unit of “dollars”

∴How much it cost Rhett to search for his lost puppy:

y = Total cost on fliers + Total cost on posters

∴\(y = 0.20x + 18\)

∴Option D

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

it should be 2/12 and 9/11

Step-by-step explanation:

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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The vertex of the function g(x) = |x - 8| + 6 is (8, 6)

From the question, we have the following parameters that can be used in our computation:

g(x) = |x - 8| + 6

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

This means that the vertex is

Vertex = (8, 6)

Remove the x value

y = 6

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

y ≥ 6

So, the range is y ≥ 6

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Answer: (A)  independent or (D) not mutually excusive

Step-by-step explanation: Just think about it, what card you draw from a deck doesn't depend on anything. Not mutually exculisve means the same as indendent.

Answer:

hello attached is the detailed solution

Step-by-step explanation:

Laplace transform of the functions and the sketches are attached below

A) f(t) = u(t) + 3u(t-1) - 2u(t-2) - 2u(t-3)

   F(s) = \(\frac{1 + 3e^{-s} -2e^{-2s}-2e^{-3s} }{s}\)

B) f(t) = 2u(t+2) - 3u(t+1) +4u(t-1) - 3u(t-2)

F(s) = \(\frac{2e^{2s} - 3e^s + 4e^{-s} -3e^{2s} }{s}\)

attached below is the remaining part of the answer

Answer:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Step-by-step explanation:

You can set up a general equation for this problem, and then solve for r to get your answer. In this case its:

4a + 6r = 24

Now move 4a to the other side by subtracting 4a from both sides:

6r = 24-4a

Finally, divide both sides by 6 to get:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Answer:

r = 4 -2/3 a

Step-by-step explanation:

She spent in total 24 dollars.  So, you can set the equation equal to 24.

? = 24

It costs $4 per pound for apples and $6 per pound for raspberries.  You could represent apples as 4a and raspberries as 6r.  Put this into the equation.

4a + 6r = 24

Now set the equation equal to r.  You have to get r alone on one side.

4a + 6r = 24

(4a + 6r) - 4a = (24) - 4a

6r = 24 - 4a

6r = (24 - 4a)/6

r = 4 - 4/6 a

r = 4 - 2/3 a

Answer:

See explaination and answer below

Step-by-step explanation:

Absolute Error:

ae = | E - A |

ae = | 35ft - 33ft|

ae = 2 ft

Percent Error:

pe = 100% * | E - A | / A

pe = 100% * | 35ft - 33ft | / 33ft

pe = 6.06% error

EDIT: 6.1% if asked to the nearest tenth.

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer:

Options C, D

Options E, 1

Step-by-step explanation:

The cited value 5% is part of the observational distribution of the diet

The cited value 9% is part of the experimental distribution of diet choice, given ethnicity

The math symbol that represent the 5% is P- the population proportion.

Answer:

All conjecture postulates and theorems prove a logical argument.

This is my opinion

Step-by-step explanation:

Theorems are the basics of mathematics.

They are verified multiple times in past.

They are certified by all famous mathematicians of world.

Some famous theorems are

Answer:

a) -20/11 b) -10/7

Step-by-step explanation:

a) m=(y2-y1)/(x2-x1)

m=(-4-16)/(4-(-7))

m=-20/(4+7)

m=-20/11

b) m=(y2-y1)/(x2-x1)

m=(-10-(-20))/(-12-(-5))

m=(-10+20)/(-12+5)

m=10/-7

m=-10/7

The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Answer:

1.05

Step-by-step explanation:

example sec x=1/cos x

sec(17pi/3)=1/(cos (17pi/3))=1.05029(type on calculator)=1.05

Hope it helps

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Answer:

No they are equal

Step-by-step explanation:

we know that

The tickets sold were

0 -------> 7 9 9 9 -------> 34 tickets -----> 4 students

1 -------> 12 14 14 16 17 18 -----> 91 tickets -----> 6 students

2 -----> 24 25 25 25 25 26 -----> 150 tickets -----> 6 students

3 ----> 33 34 38 39 -----> 144 tickets -----> 4 students

4 ----> 40 40 41 44 47 ----> 212 tickets -----> 5 students

5 ----> 52 53 -----> 105 tickets -----> 2 students

6 -----> 0 tickets

7 -----> 0 tickets

8 ----> 85 tickets -----> 1 student

Total tickets=34+91+150+144+212+105+85=821

Total students=4+6+6+4+5+2+1=28

Total tickets=821 tickets

therefore

Part 1

In Miss Wilson's class there are 28 students

Part 2

Find out the range

Minimum=7

Maximum=85

Range=85-7

Range=78

Part 3

Find out the mean

Mean=821/28=29.32 tickets

Part 4

Find out the median

Remember that the median is the center of the data set

so

we have 28 numbers in the data set

position 14=25

position 15=25

Median=(25+25)/2=25

Median =25 tickets

Part 5

Find out the mode

Mode=25 tickets

Part 6

Maximum=85 tickets

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Answer:

11

Step-by-step explanation:

6.6/0.6 = 66/6 = 11

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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Answer:

Below

Step-by-step explanation:

Formula for period of a pendulum

period = T = 2 pi \(\sqrt{L/g}\)          Divide both side of the equation by 2 pi  THEN square both sides to get

(T/ (2pi) ) ^2   = L/g    now multiply both sides by 'g'

g * ( T / (2 pi) )^2 = L          Done.

Answer:

The answer is 0

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

Answer:

It should be (-5,0)

Step-by-step explanation:

I'm here trying to help my 12 yr old

Domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}.

In mathematics, the domain of a function is the set of all possible input values for which the function is defined. The range of a function is the set of all possible output values that the function can produce, based on its input values. In other words, the domain is the set of all x-values that the function can take, while the range is the set of all corresponding y-values that the function can take.

The given graph is oriented toward x direction

Domain of function =x≥2

For every value of x the y is always positive

So, range =y≥0

Hence, domain and range of function is (D)=D={x|x≥2}, R={y|y≥0}

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