Suppose A is true, B is true, and C is true. Find the truth values of the indicated statement.

Remember that 40%=0.4.

Per sweater, the profit is

$26 of profit per sweater.

Finally, for the eight sweaters, the total profit is

$208 is the profit for 8 sweaters

The total amount = 36 x 253 + 1400 = 9108 + 1400 = $10508

Therefore,

the total amount paid with interest $10508

Given:

Constructing a parallel line to line AB and passing through point P.

To find:

The error occurred in the construction.

Explanation:

The procedure is,

The first arc must be drawn centred at C.

The second must be drawn centred at P.

Finally, the third arc must be drawn centred at F.

But here, the third arc is drawn centred at D. This is wrong.

Therefore, the correct step is that the third arc must be centred at F.

Final answer:

The third arc should be drawn centred at F.

Here the values are proportional to each other.

Proportionality ratio is,

Then scale on X-axis representing weight in Newton is 1 unit is equal to 7 Newton

And on the the Y axis representing distance in cm is 1 unit is equal to 5 cm.

  All potential solutions are covered by theoretical domains and ranges. The solution sets are constrained by actual domains and ranges to fit inside predetermined constraints. Make a function equation out of a word problem that specifies the domain and range of application. All potential solutions are covered by theoretical domains and ranges.

C = 9 + 7.34

One room costs = $7.34.

Charges of n room = Charges of one room  × Number of Rooms

Charges of n room = 7.34 n

Reservation Room =  $ 9

Total Cost (c) = Reservation Room + Charges of n room

C = 9 + 7.34

They only clean a maximum of 15 rooms.

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

When n = 1 , C = 9 + 7.34 ×1 = 16.34

When n = 2 , C = 9 + 7.34 ×2 =23.68

When n = 3 , C = 9 + 7.34 ×3 =31.02

When n = 4, C = 9 + 7.34 ×4 =38.36

When n = 5 , C = 9 + 7.34 ×5 = 45.7

When n = 6, C = 9 + 7.34 × 6 = 53.04

When n = 7 , C = 9 + 7.34 ×7 = 60.38

When n = 8 , C = 9 + 7.34 ×8 =67.72

When n = 9 , C = 9 + 7.34 × 9 =75.06

When n = 10, C = 9 + 7.34 ×10 = 82.4

When n = 1 1, C = 9 + 7.34 ×1 1 = 89.74

When n = 12 , C = 9 + 7.34 ×1 2 = 97.08

When n = 13 , C = 9 + 7.34 ×1 3 = 104.42

When n = 1 4, C = 9 + 7.34 ×14 = 111.76

When n = 1 5, C = 9 + 7.34 ×15 = 119.1

C = 9 + 7.34

Domain = { 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

Range = { 16.34,23.68,31.02,38.36,45.7, 53.04,60.38,67.72,75.06,82.4,89.74,97.08,104.42,111.76,119.1}

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1.

First, divide the figure into 3 different figures.

Find the area of each figure, and then add them:

A1 is a rectangle:

Area of a rectangle: Lenght x width

A1 = 8 x 5.3 = 42.4 in2

A2 is also a rectangle:

Lenght = 4

width = 8 - 5.3 = 2.7

A2 = 4 x 2.7 = 10.8 in2

A3 is a triangle:

Area of a triangle = (base x height) / 2

base = 2.7

Height = 8-4 = 4

A3= ( 2.7 x 4 ) / 2 = 5.4 in2

Total area = A1 + A2 + A3 = 42.4 + 10.8 + 5.4 = 58.6 in2

Answer = 58.6 in2

a. 74.99% probability of getting 746 or more peas with red flowers.

b. Since Z < 2, 746 peas with red flowers is not significantly high.

c. Since 746 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

Given,

953 peas in sample with 746 of them having red flower

Scientist's assumption;

Since there is a 3/4 chance that a pea will have a red blossom, we would anticipate 714.75 (or roughly 715) of the peas to do so; hence, the finding of 746 peas with red flowers is higher than we had anticipated.

Here,

Binomial distribution:

Probability of x successes on n trials, with p probability.

Normal distribution:

In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:

Z = (X - μ) / σ

If  np ≥ 10 and n (1 - p) ≥ 10 , the binomial distribution can be approximated to the normal with:

μ = np

σ = [tex]\sqrt{np(1-p)}[/tex]

Here,

n = 953 and p = 3/4 = 0.75

Lets see,

μ = np = 953 x 0.75 = 714.75

σ = [tex]\sqrt{np(1-p)}[/tex] = [tex]\sqrt{714.75 . (1 - 0.75)}[/tex] = √714.5 = 26.73

a. The probability of getting 746 or more peas with red flowers.

Using continuity correction, this probability is P(X ≥ 746 - 0.5) = P(X ≥ 745.5) , which is 1 subtracted by the p-value of Z when X = 745.5.

Then:

Z = (X - μ) / σ = (745.5 - 714.75) / 26.73 = 30.75 / 26.73 = 1.150

The p value of z score 1.150 is 0.2501

1 -0.2501 = 0.7499

0.7499 = 74.99% probability of getting 746 or more peas with red flowers.

b. Is 746 red-flowering peas noticeably high

Since Z < 2, 746 peas with red flowers is not significantly high.

c. What do these findings say about the researcher's prediction that 3/4  pea plants will have red flowers?

Since 746 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

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By definition, Scientific notation has the following form:

Where the coefficient "a" is a number from 1 to 10 (but not including 10), and the exponent "n" is an Integer.

In Scientific notation, the Decimal point must be after the first digit of the coefficient.

In this case, you have this number:

Notice that, in order to write it in Scientific notation, you must move the decimal point one place to the left. Therefore, the exponent of the base 10 will be 1:

The answer is:

Answer:

(x + 1)(x - 3)(x - 4) 3 f (x) = (x - 6)2(x + 2)2

Step-by-step explanation:

A cosine function has the form.

Where A refers to the changes of the y-coordinate along the curve, that is, the amplitude. And B refers to the period, that is, the repetition period of the curve.

According to the graph, the amplitude is 1, so A = 1.

Notice that from 0 to 2(pi) the function completes two cycles, which means B = 3.

From the given question

There are given that the equation

Now,

From the equation (1)

Then,

Put the equation (3) into the equation (2)

So,

Then,

Put the value of y into the equation (3)

So,

Hence, the value of x is 9 and y is 4.

The graph of the equation and the table is attached below.

Graph:

Graph means the pictorial representation of the given set of data or the equation.

Given,

Here we have the equation

y = -4.

Now, we need to plot the graph for this equation and we have also draw the table for that.

Here we have the equation y = -4. This one can't take any value for the calculation,

Which means it we take any value on the x coordinate, the given equation will result only the value of y as -4.

Which means, if we take x as -2, the value of y is -4.

If we take x as -1, it will also have the value of y as -4.

If we take x as 0, then again we will get the value of y as -4.

Therefore, it will continuous at infinity.

So, the table for this equation is look like the following.

And the graph of the equation is attached below.

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To know the price to

The formula for determining the nth term of an arithmetic sequence is expressed as

f(n) = f(1) + (n - 1)d

Where

f(1) represents the first term

d represents the common difference

n represents the number of terms

From the information given,

f(1) = 16

d = 48 - 16 = 80 - 48 = 32

a) The first term of the sequence is 16

b) the common difference is 32

c) The explicit is

f(n) = 16 + 32(n - 1)

d) To find the distance the stone travels in the 5th second, it means that n = 5

Thus

f(5) = 16 + 32(5 - 1)

f(5) = 16 + 32 * 4

f(5) = 144

the distance the stone travels in the 5th second is 144 feet

Data:

Apple: A

Pears: P

3A+2P=$2.70

3A=4P

to find the cost for one apple:

Answer

The equation for this question is

84 + 10x = 219

The number of minutes it'll take the submarine to reach 219 feet is 13.5 minutes

Explanation

Let the number of minutes it will take the submarine to reach 219 feet below the surface be x minutes.

The number of feet the submarine reaches in x minutes = (10x) feet

Since the submarine started from 84 feet, in x minutes, it would have reached a depth of

(84 + 10x) feet

This is equal to 219 feet

84 + 10x = 219

Subtract 84 from both sides

84 + 10x - 84 = 219 - 84

10x = 135

Divide both sides by 10

(10x/10) = (135/10)

x = 13.5 minutes

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Gathering the data

$8.56 h

25.5 per hour

2) Assuming Jackson does not get any tips or extra money for his job.

Let's calculate it.

M=8.56 (25.5)

M=218.28

So Jackson earned $218.28 last week for his 25.5 working hours, at the restaurant.

Answer

The sum of the sequence = -30072

Explanation

We are given a sequence of numbers and asked to find the sum of the terms up until the last term given. The sequence given is

9, 4, -1,.............., -546

On careful observation of this sequence, we can see that it is an arithmetic progression with a common difference of -5 between consecutive terms.

Common difference = (n + 1)th term - nth term

= 4 - 9 Or -1 - 4

= -5

For an arithmetic progression, the formula for the last term is given as

Last term = a + (n - 1)d

where

L = last term = -546

a = first term = 9

n = number of terms in the sequence = ?

d = common difference = -5

So, we can solve for the number of terms

-546 = 9 + (n - 1)(-5)

-546 = 9 - 5n + 5

-546 = 14 - 5n

14 - 5n = -546

-5n = -546 - 14

-5n = -560

Divide both sides by -5

(-5n/-5) = (-560/-5)

n = 112

We can now use the formula for the sum of an arithmetic progression to find the sum of this sequence.

We know all of these parameters now

Sum of this AP = (112/2) [(2 × 9) + (112 - 1)(-5)]

= 56 [18 + (111 × -5)]

= 56 [18 - 555]

= 56 [ -537]

= -30072

Hope this Helps!!!

The final price of gas per gallon after number of reduction and increment is $12.74.

Given,

The price of gas at store = 4.29 per gallon

The increased amount of gas = 0.55

The new price of gas = 4.29 + 0.55 = 4.84 per gallon

Then decreased 0.25. So, the price of gas = 4.84 - 0.25 = 4.59 per gallon

Again the price increases 8.30 and the new price become, 4.59 + 8.30 = 12.89 per gallon

Then, the price of gas finally went down to .15.

Therefore, the price of gas now is:

12.89 - 0.15 = 12.74

That is, the final price of gas per gallon after number of reduction and increment is $12.74.

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The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

In the Set Builder form , a statement or expression is used to represent all the elements of the set .

In the question ;

it is given that

the domain of the function is all whole numbers between 2.5 and 7.5 .

the set of whole numbers is represented by W.

Since the numbers between 2.5 and 7.5 are included , so "<" will be used .

The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .

Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

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The cost for 1 liter of premium gasoline is $0.43 greater than the regular gasoline.

This is referred to as the total amount of money and resources which are used by companies in other to produce a good or service.

In this scenario, we were given 25 liters of regular gasoline for $58.98 or 25 liters of premium gasoline for $69.73.

Cost per litre of premium gasoline is = $69.73 / 25 = $2.79.

Cost per litre of regular gasoline is = $58.98/ 25 = $2.36.

The difference is however $2.79 - $2.36 = $0.43.

Therefore the cost for 1 liter of premimum gasoline is $0.43 greater than the regular gasoline.

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Answer:

Step-by-step explanation:

first do 104 + 42 it should be 146

second since it is x+9 do 146 - 189, it should be 43.

third check your work by doing 43 + 146

if it equals 189 then do 43 - 9, you should get 34

so x = 34

First, we solve the expression.

Since it is a negative number we have to place it 15 places to the left ( from zero)

Given:

Out of every 30 t-shirts, 15 are medium.

Let's find the number of medium t-shirts you expect to find when there are 126 t-shirts on a rack.

We have:

35 t-shirts = 15 medium

126 t-shirts = x medium

Now, let's solve for x.

Apply the proportioanlity equation:

Cross multiply:

DIvide both sides by 35:

Therefore, there will be 54 medium t-shirts when there are 126 t-shirts.

ANSWER:

54

EXPLANATION

If it cost $31/7 hours, we can apply the unitary method to get the unit cost:

It will cost 4.42 dollars/hours

We can apply the same reasoning to the printer.

Step 1

The circumference of a circle is given by;

where;

Step 2

Find the circumference

Hence, in terms of π the circumference of the circle=18πinches

We have to translate the expression "The product of v and the difference of c and 10".

We know that the expression is a product of two factors: v and a difference. The difference is between the terms c and 10, so it can be written as (c-10).

Then, the product can be written as:

Answer: the expression is v*(c-10)

The given matrix equation is:

To get the required equations, we will have to carry out the matrix multiplication, thus we have:

Hence, the correct option is option D

We are given the following the following inequality:

|x - 5| >= 1

When we have a inequality in the format:

|f(x)| >= a

There are two possible solutions.

Either f(x) <= -a or f(x) >= a

In this question:

|x - 5| >= 1

x - 5 <= -1

x <= -1 + 5

x <= 4

Or

x - 5 >= 1

x >= 1 + 5

x >= 6

In interval notation, the answer is:

The solution on the number line is: