Suppose that ()=ℎ−1() j ( x ) = h − 1 ( x ) and that both j and ℎ h are defined for all values of x . Let ℎ(8)=4 h ( 8 ) = 4 and (9)=−1 j ( 9 ) = − 1 . Evaluate if possible and enter the value of the expression in the blank. If you do not have enough given information to evaluate the expression, enter unknown in the blank beside the expression.

H^-1(-1)=
J(H(8))=
H(J(8))=
J(4)=
J(8)=
J^-1(-1)=
H(9)=

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Answer:

32/40

Step-by-step explanation:

4x8 and 4x10

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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Answer:

b). Reject the null hypothesis and conclude the means are different.

Step-by-step explanation:

A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided. Thus, option b is the correct answer.

The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is

B) C=360 degrees s over A

The relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:

s = A / 360 * C

Make C the subject of the formula

s = AC / 360

360s = AC

rearranging

AC = 360s

C = 360 degrees s / A

C = (s / A) * 360°

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Answer:

\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)

Step-by-step explanation:

In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.

This is because:

Therefore, this can be expressed as:

\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)

Cross multiply:

\(360^{\circ} \cdot s=C \cdot A\)

Now, divide both sides by A to isolate C:

\(\dfrac{360^{\circ} \cdot s}{A}=C\)

Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:

\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)

Answer:

12 x^9 + 15 x^8 - 8 x^6 - 10 x^5 = A.) is the answer

Step-by-step explanation:

Expand the following:

x^4 (3 x^3 - 2) (4 x^2 + 5 x)

Hint: | Multiply 3 x^3 - 2 and 4 x^2 + 5 x together using FOIL.

(3 x^3 - 2) (4 x^2 + 5 x) = (3 x^3) (4 x^2) + (3 x^3) (5 x) + (-2) (4 x^2) + (-2) (5 x) = 12 x^5 + 15 x^4 - 8 x^2 - 10 x = 12 x^5 + 15 x^4 - 8 x^2 - 10 x:

x^4 12 x^5 + 15 x^4 - 8 x^2 - 10 x

Hint: | Distribute x^4 over 12 x^5 + 15 x^4 - 8 x^2 - 10 x.

x^4 (12 x^5 + 15 x^4 - 8 x^2 - 10 x) = x^4 (12 x^5) + x^4 (15 x^4) + x^4 (-8 x^2) + x^4 (-10 x):

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^4 x

Hint: | Combine products of like terms.

x^4 (-10) x = x^(4 + 1) (-10):

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 + -10 x^5

Hint: | Evaluate 4 + 1.

4 + 1 = 5:

12 x^4 x^5 + 15 x^4 x^4 - 8 x^4 x^2 - 10 x^5

Hint: | Combine products of like terms.

x^4 (-8) x^2 = x^(4 + 2) (-8):

12 x^4 x^5 + 15 x^4 x^4 + -8 x^6 - 10 x^5

Hint: | Evaluate 4 + 2.

4 + 2 = 6:

12 x^4 x^5 + 15 x^4 x^4 - 8 x^6 - 10 x^5

Hint: | Combine products of like terms.

x^4×15 x^4 = 15 x^8:

12 x^4 x^5 + 15 x^8 - 8 x^6 - 10 x^5

Hint: | Combine products of like terms.

x^4×12 x^5 = x^(4 + 5)×12:

12 x^9 + 15 x^8 - 8 x^6 - 10 x^5

Hint: | Evaluate 4 + 5.

4 + 5 = 9:

Answer: 12 x^9 + 15 x^8 - 8 x^6 - 10 x^5

Answer:

The answer is the the first one

The surface area is 653.1 square centimeters.

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here the given inner cylinder diameter d = 7m then

Radius r= d/2 = 7/2 = 3.5m

Now outer cylinder diameter = 9 cm then

Radius R= d/2 = 9/2 = 4.5 cm.

Height h = 26 cm.

Now using surface area of cylinder formula then,

=> Surface area A = \(\pi (R^2-r^2)h\) square unit.

=> A = \(3.14(4.5^2-1.5^2)26\)

=> A = \(3.14\times(20.25-12.25)\times26\)

=> A = 3.14×8×26

=> A = 653.1 square centimeters.

Hence the surface area is 653.1 square centimeters.

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The perimeter of the rectangular bedroom is 126 feet.

To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.

The distance between the points (14, 22) and (14, -10) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (14, -10) and (-17, -10) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

The distance between the points (-17, -10) and (-17, 22) is 22 - (-10) = 32 feet, since these two points lie on a vertical line.

The distance between the points (-17, 22) and (14, 22) is 14 - (-17) = 31 feet, since these two points lie on a horizontal line.

Therefore, the perimeter of the rectangular bedroom is;

P = 32 + 31 + 32 + 31

P = 126 feet.

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Answer:

36

Step-by-step explanation:

You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.

Answer:

Multiply using the distributive property.

B.

Please mark brainliest!

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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Answer:

x=3

Step-by-step explanation:

0 = x -3

-x = -3

change the sign to positive so x= 3

The correct answer is:

C) Because the P-value is greater than α = 0.10, there is not convincing evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

The student set up a hypothesis test to investigate whether there is evidence that the true proportion of flips for which the penny stack will land on its edge differs from 0.5. The null hypothesis is that the proportion is 0.5, and the alternative hypothesis is that it differs from 0.5.

The student obtained a standardized test statistic of z = -0.80 and a P-value of 0.2119.

To make a conclusion, the student needs to compare the P-value to the significance level α.

The significance level is given as 0.10, which means that the student is willing to accept a 10% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Since the P-value of 0.2119 is greater than α = 0.10, there is not convincing evidence to reject the null hypothesis. Therefore, the student cannot conclude that the true proportion of flips for which the penny stack will land on its edge differs from 0.5.

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Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours  and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

                                                                 = 4140

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Answer:

265 feet to the nearest foot.

Step-by-step explanation:

sin 3 = a / 5072

a = 5072 sin 3

= 265.4479 feet

Answer: .

Step-by-step explanation:.

Answer: 12 symmetries

Step-by-step explanation:

just draw the lines on the star.

Lucille is being charged a simple interest rate of 0.4, or 40%.

To determine the simple interest rate Lucille is being charged, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (P) is $1500, the time (T) is 6 months (or 0.5 years), and the total amount to be paid back (A) is $1500 + $300 = $1800. We need to find the rate (R).

Interest = Principal × Rate × Time

$300 = $1500 × R × 0.5

Simplifying the equation:

$300 = $750R

To isolate R, we divide both sides of the equation by $750:

$300 / $750 = R

0.4 = R

Therefore, Lucille is being charged a simple interest rate of 0.4, or 40%.

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Answer:

-3/2

Step-by-step explanation:

Answer:

8p + 2s <= 150

Step-by-step explanation:

Let p = number of a pizza.

Let s = price of a bottle of soda.

The inequality is

8p + 2s <= 150

From the statement, we know that:

0. the company sells 1000 packs of cards per day for $5 per pack,

1. with every $0.02 reduction in price, 10 more packs a day are sold.

To solve this problem, we define the following variables and functions:

• r = # of price reductions,

• n(r) = # of packs sold by the company as a function of r,

• p(r) = price per pack (in $) as a function of the # of price reductions,

• I(r) = income (in $) as a function of the # of price reductions.

Using points 1 and 2, we write the following functions: function of # of packs sold n(r) as:

• the i

• the function of the price per pack p(r):

• the function for the income I(r) is given by the product of the # of packs sold n(r) and the price per pack p(r):

(1) To find the maximum income, we must maximize the function I(r) for r. To do that, we compute and make equal to zero its first derivative:

Solving for r, we get:

We have found that the maximum income is achieved when the # of price reductions is equal to r = 75.

(2) s

We have found that the maximum possible income per day is $6125.

(3) s

We have found that the price per pack that maximizes the income is $3.5.

(4) s

With this new price structure, the company wins $6125 s

• The maximum possible income per day is $6125.

• The price per pack that maximizes the income is $3.5.

• The company makes $1125 extra with this new price structure.

The solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

To determine which value is included in the solution set for the inequality statement -3(x-4) > 6(x-1), we need to solve the inequality for x.

Starting with the given inequality:

-3(x - 4) > 6(x - 1)

First, distribute -3 and 6 to the terms inside the parentheses:

-3x + 12 > 6x - 6

Next, combine like terms by subtracting 6x from both sides and adding 6 to both sides:

-3x - 6x > -6 - 12

-9x > -18

To isolate x, divide both sides of the inequality by -9. Remember that when dividing by a negative number, we need to reverse the inequality sign:

x < (-18) / (-9)

x < 2

Therefore, the solution set for the inequality is x < 2. Among the given options, the value that is included in the solution set is 0.

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Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Answer:

y=1/3x+2

Step-by-step explanation:

................

Answer:

y=1/3x+2

Step-by-step explanation:

slope intercept form: y=xm+b

6y=2x+12

/6       /6

y=2/6x+2

y=1/3x+2

have a great day!

Answer:

Step-by-step explanation:

Point: 10,-9

k=-2

y=-2x+b

So: 9, -7

8,-5

7,-3

6,-1

5,1

4,3

3,5

2,7

1,9

0,11

y=-2x+11

Answer:

y + 9 = - 2(x - 10)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = - 2 and (a, b ) = (10, - 9 ) , then

y - (- 9) = - 2(x - 10) , that is

y + 9 = - 2(x - 10)

Answer:

width is 13.5 yards

Step-by-step explanation:

2" / 3 yds = 9" / 'x' yards

cross-multiply:

2x = 27

x = 13 1/2 yards