For the formula F = 95K – 455.67, what is the value of K when F = 0?

2.1 The volume in ml of one can of cold drink is 83 ml.

2.2 The height of the cooler bag is 18 cm.

2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.

2.4 The circumference of the can is 18.84 cm.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given side lengths into the volume of a cylinder formula, we have the following;

Volume of can = 3.14 × (6/2)² × 8.84

Volume of can = 83.27 cm³.

Note: 1 cm³ = 1 ml

Volume of can in ml = 83.27 ≈ 83 ml.

Part 2.2.

For the height of the cooler bag, we have:

Height of cooler bag = 2 × height of can

Height of cooler bag = 2 × 8.84

Height of cooler bag = 17.68 ≈ 18 cm.

Part 2.3

Volume of cooler bag = length × breadth × height

Volume of cooler bag = 18 × 12 × 18

Volume of cooler bag = 3,888 ml.

Part 2.4

The circumference of the can is given by:

Circumference of circle = 2πr

Circumference of can = 2 × 3.14 × 3

Circumference of can = 18.84 cm.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: y=(1x)^x + 5000

Step-by-step explanation:

So the original equation is y=mx + b

And we know that each year the house increase by 5000, so the b is 5000

For the x which is the slope, we don't know what the slope is so we just say it as x and the ^x is for the number of years, let's say 3 years then it is ^3 and keep increasing like that up.

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Answer:

C - A -B - C -A

Step-by-step explanation:

Answer:

15 minutes

Step-by-step explanation:

Answer:

Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.

Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.

Second pic:

Amos was correct

Tash was correct

Both were correct

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The number of hours that Mr Mason painted each day is 1.625  hours.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The total number of hours that Mr Mason took to paint the fence is 6 2/4 hours, while the number of days taken by him is 4 hours. Therefore, the number of hours for which Mr Mason painted each day can be written as,

= (6 ²/₄)/4

= (26/4)/4

= 26/16

= 1.625 hours a day

Hence, the number of hours that Mr Mason painted each day is 1.625  hours.

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Salma must score 405 on exam B in order to do equivalently well as she did on exam A.

To determine how well Salma must score on exam B to perform equivalently to exam A, we need to compare the scores relative to their respective means and standard deviations. Since the scores on each exam are normally distributed, we can use z-scores to make the comparison.

First, we calculate the z-score for Salma's score on exam A using the formula: z = (x - mean) / standard deviation.

For exam A:

z = (69 - 64) / 10 = 0.5

Next, we find the corresponding raw score on exam B that corresponds to the same z-score of 0.5. Using the formula: x = z * standard deviation + mean.

For exam B:

x = 0.5 * 100 + 400 = 405

Therefore, Salma must score 405 on exam B in order to perform equivalently to her score of 69 on exam A. This means that if she achieves a score of 405 on exam B, it would be at the same relative position in the distribution as her score of 69 on exam A, taking into account the different means and standard deviations of the two exams.

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Answer:

Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81

Step-by-step explanation:

Then the Area of the rectangular = 12 x 18 = 216

So the  total Area of the figure is = 81 + 216 = 297

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Answer:

1. 2

2. 6

3. 15

4. 16

Step-by-step explanation:

:>

Step-by-step explanation:

to find a similar ratios, they should be multiplied by the same number.

let's start with 14 and 21 . 14 and 21 are the multiples of 7.

7×3 =21

so first right box is 3

to find first left box 14÷7= 2

to find 2nd left blank

3×3=9

so 2×3 =6

to find 3rd blank:

we know 2×5 =10

so 3×5 =15

to find last one:

we know 3×8 =24

so 2×8 =16

Answer:

11/15

Step-by-step explanation:

To add fractions, you add the numerators together( the top) and the bottom stays the same for this situation.

so the numerators of the fraction are 8 and 3

8+3 =11

So the answer is 11/15 and this is the most simplified it can get.

Answer:

Look below.

Step-by-step explanation:

For further reference I suggest looking at Khan academy videos of this.

A. log8 5/9

B. log9 4

C. log6 2^3

Using a ruler and compasses, draw PQ (7.5cm), locate R using a 6.1cm radius from P, then connect PR. To measure ∠PQR, use a protractor with Q as the center.

To construct triangle PQR with sides PQ = 7.5 cm, QR = 6.1 cm, and ∠PQR = 45 degrees, follow these steps:

1. Draw a line segment PQ of length 7.5 cm using a ruler.

2. Place the compass at point P and draw an arc with a radius of 6.1 cm to intersect PQ. Label this point of intersection as R.

3. Set the compass to a radius of 7.5 cm and draw an arc with center Q.

4. Without changing the compass width, draw another arc with center R to intersect the previous arc. Label this point of intersection as P.

5. Connect points P and Q with a straight line segment to complete triangle PQR.

6. To measure the angle ∠PQR, use a protractor and place it on line segment QR such that the center of the protractor aligns with point Q. Then measure a 45-degree angle starting from the line segment QR and mark the point of intersection on line segment PQ. Label this point as S.

7. Connect points P and S to form the line segment PS.

8. Measure the length of line segment PS using a ruler.

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The length of the given building is equal to 186ft

To calculate the length of the building whose shadow is 248ft, we can simply find the ratio of the height of Tim to his shadow and compare it with the building.

The ratio of the height to the shadow is 6:8

Or we can simply set it out as an equation, cross multiply and solve.

\(height = shadow length\)

Let's use this system to solve

\(height = shadow length\\6ft = 8ft\\x = 248\\\)

We can cross multiply here and solve for x

\(x = \frac{6 * 248}{8}\\x = 186ft\)

The height of the building is 186ft

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Hi there! The fraction that gives you 11/12 is 44/ 48.

---

Hope this helps you!

Answer:

1 kilogram = 2.204623 pounds

$17/kilogram = $17/2.204623 pounds

= $7.71/pound

Answer:

The answer is congruent

Answer:

3x+3

Step-by-step explanation: you multiply the x value by 3 then add by 3 to get your current y value.

B

replace x with the numbers(x) and the answers will be exact

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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Answer:

B.

6 red

6 blue

4 green

Step-by-step explanation:

6 red

6 blue

4 green

————-

16 total

4 green is 1/4 of 16 total so that is the correct probability.

Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.

Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.

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Answer:

Subtract -7x from both sides

Step-by-step explanation:

You want to isolate the y term on one side of the equation

Answer:

The answer is option 2.

Step-by-step explanation:

The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :

\(7x - 10y = 30\)

\(7x - 10y - 7x = 30 - 7x\)

\( - 10y = 10 - 7x\)

To calculate the integral ∫(2x + 73)/(x^2 + 6x + 73) dx, we can use a technique called partial fraction decomposition. Here are the steps to solve this integral:

Factorize the denominator:

x^2 + 6x + 73 cannot be factored further using real numbers. Therefore, we can proceed with the partial fraction decomposition.

Write the partial fraction decomposition:

The integrand can be written as:

(2x + 73)/(x^2 + 6x + 73) = A/(x^2 + 6x + 73)

Find the values of A:

Multiply both sides of the equation by x^2 + 6x + 73 to eliminate the denominator:

2x + 73 = A

Comparing coefficients, we get:

A = 2

Rewrite the integral using the partial fraction decomposition:

∫(2x + 73)/(x^2 + 6x + 73) dx = ∫(2/(x^2 + 6x + 73)) dx

Evaluate the integral:

To integrate 2/(x^2 + 6x + 73), we can complete the square in the denominator:

x^2 + 6x + 73 = (x^2 + 6x + 9) + 64 = (x + 3)^2 + 64

Now we can rewrite the integral as:

∫(2/(x + 3)^2 + 64) dx

Split the integral into two parts:

∫(2/(x + 3)^2) dx + ∫(2/64) dx

The second integral is simply:

(2/64) * x = (1/32) x

To integrate the first part, we can use the substitution u = x + 3:

du = dx

∫(2/(x + 3)^2) dx = ∫(2/u^2) du = -2/u = -2/(x + 3)

Putting everything together:

∫(2x + 73)/(x^2 + 6x + 73) dx = ∫(2/(x + 3)^2) dx + ∫(2/64) dx

= -2/(x + 3) + (1/32) x + C

Therefore, the integral ∫(2x + 73)/(x^2 + 6x + 73) dx evaluates to:

-2/(x + 3) + (1/32) x + C, where C is the constant of integration.

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Answer:

900

Step-by-step explanation:

There are 50(8/2) = 200 sheep.

So, there are 200(9/2) = 900 cows.

Answer: (a) Yes. The table is a function.

Step-by-step explanation:

In order to be a function, there cannot be any duplicate x-values.

In the given table, each x-value is different so this IS a function.

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trigonometric ratio:

tan(23) = d/ 945

d = 401.1 feet

The horizontal distance from the base of the skyscraper out to the ship would be 401.1 feet.

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