Mr. Moore purchases an inflatable kayak weighing 30 pounds from an online company. The
standard rate to ship his purchase is $2.99 plus $0.85 per pound. Write and solve an equation to find the total amount
Mr. Moore will pay to have the kayak shipped to his home.

By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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Answer:

Step-by-step explanation:

you have to find the mean of the two fractions, adding and then dividing by two

(1/5 + 1/9) : 2 =

14/45 : 2 =

7/45

The number of years would pass before oil consumption in this scenario doubles = 175 and the global oil consumption will rise by a factor of 1.48 (or 48%).

According to the rule of 70,

We can calculate the time it will take for a number to double according to the rule of 70.

Since the rate of increase in oil consumption in this situation is 0.4%,

The doubling time may be calculated as follows:

2x(Time) = 70/0.4= 175 years.

Therefore,

175 years would pass before oil consumption in this scenario doubles.

For the second question,

Use the method to predict how much oil consumption will rise over the next ten years.

To do this, we must determine the annual growth rate that results in a 175-year doubling time.

To find the annual growth rate,

we can rewrite the formula as follows:

Annual growth rate = 70 / time between doublings

Annual growth rate = 0.4% (70/175).

The annual growth rate that results in a 175-year doubling period is therefore 0.4%.

We can now calculate the rise in oil consumption in 10 years using this rate:

Increase factor = (1 plus yearly growth rate)(number of years Increase factor equals (1 + 0.4%).

Increase factor is 1.04 Increase factor = 1.48

Therefore, over the course of the following ten years,

It is anticipated that global oil consumption will rise by a factor of 1.48 (or 48%).

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Answer:

Answer:

Solution given:

\((x_1,y_1)=(7,11)\)

\((x_2,y_2)=(13,17)\)

now

slope:\(\frac{y_2-y_1}{x_2-x_1}=\frac{17-11}{13-7}=\frac{6}{6}\)

Slope: 1

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ y2 = 17 \\ y1 = 11 \\ x2 = 13 \\ x1 = 7 \\ slope = \frac{17 - 11}{13 - 7} \\ = \frac{6}{6} = 1 \\ slope = 1 \\ thank \: you\)

Answer:

A) 0.8131 ≈ 0.81

B) 0.6322 ≈ 0.63

C)  0.7639 ≈ 0.77

Step-by-step explanation:

A)

Total number of  units

= 55 + 32 + 17 + 3

 = 107

hence the probability that the failure involves a gas leak

= ( 55 + 32 ) / 107

= 0.8131

B) probability that there is evidence of electrical failure given tat there is a gas leak

P ( A / B ) = \(\frac{P(A n B)}{P(B)}\)

P( A∩B ) = 55/107 = 0.5140

P ( B ) = ( 55 + 32 ) / 107 = 0.8131

hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322

A = failure due to electrical

B = failure due to gas leak

C)  Probability of a gas leak given that there is evidence of electrical failure

P ( B / A ) =  \(\frac{P(BnA)}{P(A)}\)

P ( B ∩ A ) = 0.5140

P( A ) = ( 55 + 17 ) / 107  = 0.6729

hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639

Answer:

(f o g)(x) = 4x^4 - 24x^2 + 37

(g o f)(x) = 16x^4 + 8x^2 - 2

Step-by-step explanation:

f(x) = 4x^2 + 1

g(x) = x^2 - 3

(f o g)(x) = f(g(x)) = f(x^2 - 3) = 4(x^2 - 3)^2 + 1 =

= 4(x^4 - 6x^2 + 9) + 1

= 4x^4 - 24x^2 + 37

(g o f)(x) = g(f(x)) = g(4x^2 + 1) = (4x^2 + 1)^2 - 3 =

= 16x^4 + 8x^2 - 2

Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Angle STU = 49 Degrees because they are alternate interior angles.

Answer:

60,000÷5000=12

12×10=120 minutes.

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

10.05 for 12 quarts

Step-by-step explanation:

The selling price of the item at 10% marlkup is $55

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

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured by machine A.

Six percent of all the parts are defective.

This means that \(P(A) = 0.06\)

Probability that a part is defective and was manufactured on machine A

3% of the parts manufactured on machine A are defective, manufacture A is responsible for 50% of the parts. So

\(P(A \cap B) = 0.03*0.5 = 0.015\)

Find the probability that a part was manufactured on machine A, given that the part is defective.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.015}{0.06} = 0.25\)

0.25 = 25% probability that a part was manufactured on machine A, given that the part is defective.

Answer:

g = 3/2

Step-by-step explanation:

Step 1: Multiply both sides by 5 (the whole number).

Step 2: Divide both sides by 2.

Therefore, g = 3/2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

g = 1\(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{2}{5} g = \frac{3}{5}\)

Multiply both sides by \(\frac{5}{2}\) the reciprocal of \(\frac{2}{5}\).

\(g = \frac{3}{5}\) ×\((\frac{5}{2})\)

Multiply \(\frac{3}{5}\) times \(\frac{5}{2}\) by multiplying numerator times numerator and denominator times denominator.

\(g = \frac{3x5}{5x2}\)

Cancel out 5 in both numerator and denominator.

\(g = \frac{3}{2}\)

simplify

1\(\frac{1}{2}\)

Hope it helps and have a great day! =D

~sunshine~

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

D

Step-by-step explanation:

Find the slope using the formula [ y2-y1/x2-x1 ]

2-2/-5-3

0/-8

0

Find the y-intercept using slope-intercept form [ y = mx + b ] and (3, 2)

y = 0x + b

2 = 0(3) + b

2 = b

Put everything we know into the final form.

y = 0x + 2

y = 2

Best of Luck!

change in y/change in x

y2-y1/x2-x1

2-2/-5-3

0/-8 = 0

The slope is 0 - the answer is d

because when 0x = 0, then you are left with y and only y

when the equation is x=, then the equation is undefined

but, when an equation is y=, that the slope is 0

The slope of the line that represents the relationship is 0.76.

Slope in mathematics relates to how steep a line is. It measures how much the y-coordinate shifts upward or downward for every unit increment in the x-coordinate. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line is, in other words, the slope of the line.

The following equation can be used to determine a line's slope: slope = (y2 - y1) / (x2 - x1).

where any two points on the line (x1, y1) and (x2, y2).

Positive, negative, zero, or undefinable slopes are all possible. A line with a positive slope is moving upward from left to right, whereas one with a negative slope is moving downward.

The slope of the line is given by the formula:

slope = (change in y) / (change in x)

Substituting the point from the table we have (0, 0) , (1.3, 1) thus:

m = 1 - 0 / 1.3 - 0

m = 1 / 1.3 = 0.76

Now, using the slope intercept form we have:

y - y1 = m(x - x1)

For (0, 0) we have:

y = 0.76x

Hence, the slope of the line that represents the relationship is 0.76.

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The complete question is:

The volume of the tower is 224 in³, which is not listed among the given options.

To find the volume of the rectangular block, we need to multiply its length, width, and height. Therefore, the volume of the single block is:
8 x 3.5 x 2 = 56 cubic inches.
Since we are stacking four blocks to create a tower, we need to multiply the volume of a single block by 4.

Thus, the volume of the tower is:
56 x 4 = 224 cubic inches.
The volume of a rectangular block can be found using the formula,

V = length × width × height.

In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches.

V = 8 × 3.5 × 2 V

= 28 × 2 V

= 56 in³

Now that we know the volume of one block, we can find the volume of the tower created by stacking four blocks. Tower volume = block volume × number of blocks Tower volume = 56 in³ × 4 Tower volume = 224 in³

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Answer:

d) 1/12

Step-by-step explanation:

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

\( a + b + c = 5 + 6 + 11 = 22 \)

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

\( a + b + c = 5 + 6 + 11 = 22 \)

Answer:

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

\(y=a(x-p)(x-q)\)

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

\(y=a(x+2)(x-3)\)

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

\(-30=a(0+2)(0-3)\)

Solve for a:

\(-30=-6a\Rightarrow a=5\)

Hence, our factored equation is:

\(\displaystyle y=5(x+2)(x-3)\)

For the standard form, expand:

\(y=5(x^2-3x+2x-6)\)

Simplify:

\(y=5(x^2-x-6)\)

Distribute:

\(y=5x^2-5x-30\)

Our answer is C.

Answer:

5,x6=5

4÷6=6

4=6=8

4=6687554=+÷976555££=6££6/=

4 × y - y = 36

4y - y = 36

Combining 4y and -y to get 3y

3y = 36

Dividing both sides by 3

y = 36/3

y = 12.

\(4 \times y - y = 36 \\ = > 4y - y = 36 \\ = > 3y = 36 \\ = > y = \frac{36}{3} \\ = > y = 12\)

Answer:

A.-9

C.5

D.7

Explanation:

Take every number and put it in the spot of x  and multiply every number by themselves  like 9x9 or  5x5. Then see if it is equal too or less than 81. If it is equal too or less than 81 then it is correct.

Could I please have BRAINLIEST?

Answer:b $41.60

Step-by-step explanation: