Find the value of tan U rounded to the
nearest hundredth, if necessary.
T
U
12
13
S

The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.

As per the given question, the required solution would be as:

g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.

The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.

This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.

The slope and the shape of the function will remain the same.

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1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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\( cos(A) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} \)

The cos A will be b/c

Cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse

The steps are as follow:

AB = c

BC = a

AC = b

Cos A = Adjacent side to A / Hypoteneous

Cos A = AC / AB

Cos A = b / c

Therefore the value of Cos A in given figure will be b / c

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The answer is 3/22

Hope this help~

Answer:

Down, Down, Right, Right, diagonal left, up, right

Step-by-step explanation:

Not gonna do every equation here tho lol

1/72a

just write all divided by 1

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

When 1,493,600 is divided by 8 the quotient is 186,700.

To divide 1,493,600 by 8, you can follow these steps:

We have to write down the dividend (1,493,600) and the divisor (8).

Now start with the largest place value in the dividend (the leftmost digit) and perform the division.

Divide 1 by 8. Since 1 is smaller than 8, you move to the next digit.

Bring down the next digit (4) and combine it with the previous quotient (0). This gives you 04.

Divide 4 by 8. Since 4 is smaller than 8, you move to the next digit.

Bring down the next digit (9) and combine it with the previous quotient (0). This gives you 09.

Divide 9 by 8. The quotient is 1, and the remainder is 1.

Bring down the next digit (3) and combine it with the remainder (1). This gives you 13.

Divide 13 by 8. The quotient is 1, and the remainder is 5.

Bring down the next digit (6) and combine it with the remainder (5). This gives you 56.

Divide 56 by 8. The quotient is 7, and there is no remainder.

Bring down the next digit (0) and combine it with the quotient (7). This gives you 70.

Divide 70 by 8. The quotient is 8, and there is no remainder.

There are no more digits to bring down, and the division is complete.

The quotient is the result of the division. In this case, 1,493,600 divided by 8 is equal to 186,700.

Therefore, the result of 1,493,600 ÷ 8 is 186,700.

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Answer:

$35

Step-by-step explanation:

8 cups /2 = 4 pints

4/2 = 2 quarts = 5 dollars for first pot

3*4 = 12 quarts, = 30 dollars for second pot

Answer:

$85 per chair

Step-by-step explanation:

add the discount (55) to the total amount paid (455).

you should get 510

after this, divide 510 by 6 (because 6 chairs), and you should find that each chair costs $85

The value of the variable(s) in the figure is  60°, explaination is given below.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that function at those values of the considered variables.

We are given that;

The variables; (5y)⁰,(2x)°,120⁰,1080

Now,

The first two expressions are both equal to 1, because any number raised to the power of 0 is always 1.

The third expression, 120°, is an angle measurement in degrees. In a triangle, the sum of the interior angles is always 180°. So, if we let x and y be the other two angles in the triangle, we have:

x + y + 120° = 180°

Simplifying this equation, we get:

x + y = 60°

Therefore, the answer of the given function will be  60°.

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Answer:  the number that can be placed in the box to make the statement true is 3.

Step-by-step explanation:

To make the statement true, we need to find a number that, when added to 7, equals 10. From the given options, the number that satisfies this condition is 3.

If we substitute 3 for the box in the statement, it becomes:

If +7=10, then 10-7=3.

Answer:

$25

Step-by-step explanation:

she received$12 five times

12×5=60 ...(1)

she earned$5 two times for yard work

5×2=10....(2)

(1)+(2).... 60+10=70

Bought dog food and ticket

30+15=45

70-45=25

Answer $25 is what she is left with at the end of the month

Answer:

She would have 5 dollars left

Step-by-step explanation:

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

(f o h)(-5)=-33

Step-by-step explanation:

Let f(x) = 4x - 1, h(x) = - X-3.

(f o h)=4(-x-3)-1

(f o h)=-4x-12-1

(f o h)=-4x-13

(f o h)(-5)=-4(-(-5))-13

(f o h)(-5)=-20-13

(f o h)(-5)=-33

I'll show you where the point is located in a pciture

point (-4,4)

This point lies in quadrant 2

Answer:

13/12 or 1  1/12

Step-by-step explanation:

First you change 2/3 to 8/12 by multiply both the numerator and denominator by 4. Then, you add the numerators but DO NOT change the denominators. Therefore, your answer is 13/12 which = 1  1/12.

Answer:

3000 square inches.

Step-by-step explanation:

First, scale this one up. Multiply each by 2. consider area of a trapezoid. A = 1/2 (b1 + b2) h. This will be 1/2 (20 + 30) * 20, so you'll get 500 square in. Then, multiply by 6 since Buffy is making 6 of them. 500 * 6 = 3000 square inches.

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Complementary angles add up to 90°, write an equation using this knowledge and the information provided in the question:

66°+x° = 90°

Subtract 66° from both sides:

x° = 24°

The value angle T is 42 degree and XY = 13 ft since △RST is congruent with △XYZ.

What is meaning of congruent?

If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical.

Given that △RST is congruent with △XYZ.

angle T = (2x +10) degree

angle Z = (3x - 6) degree

RS = 5y + 3 ft

XY = y + 11 ft

The corresponding angles and sides of △RST and △XYZ are equal.

Thus, angle T = angle Z and XY = RS .

Putting the value of angle T and angle Z in angle T = angle Z:

2x + 10 = 3x - 6

x = 16

The value of angle T is  (2×16 +10) degree = 42 degree

Putting the value of XY  and RS:

5y + 3 = y + 11

4y = 8

y = 2.

The value of XY is 2 + 11 = 13 ft.

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Question

Given that △RST congruent △XYZ

1. What is angle T?

2. What is XY?

Given:

The given equation is 5y=3x-5

Find: Draw the graph

Explanation:

It is given that 5y=3x-5. Substitute x=0 into the given equation we have

\(5y = 3x - 5\)

\(5y = 3(0) - 5\)

\(5y = - 5\)

\(y=-1\)

Now, substitute x=5 into the given

equation we have

\(5y = 3(5)-5\)

\(5y = 15-5\)

\(5y = 10\)

\(y = 2\)

The points are (0,-1) and (5,2).

Therefore, the required graph is

Hence, the required graph is obtained.

Answer:

109.6

Step-by-step explanation:

100+100×(4.8%×2)=100+ 100×9.6%=100+9.6=109.6

Answer:

The money account after two years will be 110.054

Step-by-step explanation:

\(A = P(1 + \frac{r}{n})^{nt}\)

A = final amount = required to know

P = initial principal balance = $100

r = interest rate = 4.8%=4.8/100 because compounded monthly

n = number of times interest applied per time period = 12

t = number of time periods elapsed = 2

\(A = P(1 + \frac{4.8}{1200})^{24}\)

\(A= 100(1+0.004)^{24}\)

A=   \(110.054\)

Thus, The money account after two years will be 110.054

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The scatterplot that shows a negative correlation is graph (b)

In this question, the graphs represent the given parameter

From the graphs, we have the following observations

To determine the graph with a negative correlation, we make use of the following statements

From the list of options, we have

Graph (b) that shows increase - decrease relationship

Hence, the scatter plot is (b)

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Answer:

RM = 12 cm

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2}\)

Assuming 20 is the hypotenuse cus there is no picture:

\(a^{2} + 16^{2} = 20^{2}\)

\(a^{2} +256 = 400\)

\(a^{2} = 144\)

\(a=144\)

If It's not the hypotenuse:

\(16^{2}+ 20^{2} =c^{2}\)

\(256+400 =c^{2}\)

\(656=c^{2}\)

\(c = 25.61249695\)

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)