HELP ASAP PLZ IM TIMED
Find the surface area of the rectangular prism below to the nearest tenth.

Answer:

t = 4

Step-by-step explanation:

In step two, instead of multiplying by -6 on both sides, you need to divide by -6 to isolate t.

-6t = -24

÷-6    ÷-6

t = 4

When you multiply by -6 on both sides, the equation would be 36t = 144, which is not what we want. The opposite of multiplication is division, and in order to get the answer, you divide by the number multiplied.

The value of the function f(x)-g(x)-h(x) is -5x^2+6x+6. Option D

It is important that we know functions are expressions showing the relationship between two variables.

These variables are called;

From the information given, we have the functions as;

f(x)=3x+5 g(x)=4x^2-2 h(x)=x^2-3x+1

Now, to determine the function, f(x)-g(x)-h(x). substitute the expressions, we get;

f(x)-g(x)-h(x) =3x + 5 - 4x² + 2 - x² + 3x - 1

Now, collect the like terms, we get;

f(x)-g(x)-h(x) = -4x² - x² + 3x+ 3x + 5 + 2 - 1

Add or subtract the like terms, we get;

f(x)-g(x)-h(x) = -5x² + 6x + 6

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The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm  = -2.

a) Supply curve of an individual firm

The price received by the individual firm will be P. Its demand curve is given by

D(p) = 20 - p.

Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,

P = MC(y)

4y = P

y = P/4

Thus the supply curve of the firm is y = P/4

b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.

c) Equilibrium price and output

Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by

S(P) = nP/4

The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies

S(P) = Y

nP/4 = 20 - P

=> P = 80/(4 + n).

The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus

20 - P = nP/4

=> P = 80/(4 + n)

=> n = (80 - 20P)/P

= 20/P - 4.

Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by

y = P/4 = 20/(4n + n²)

The equilibrium output of the industry is given by

Y = n

y = 5/P = (n² + 4n)/80.

d) Equilibrium number of firms with new demand curve D(p) = 21 - p.

The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.

e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.

f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.

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The percentage of their matches that SPARX FC have is lost 35% of their matches.

The percentage of matches lost by SPARX FC is calculated using the formula below:

Total number of matches played = 7 + 6 + 7

Total number of matches played = 20

Number of matches lost = 7

Percentage of matches lost = (7 / 20) * 100

Percentage of matches lost = 35%

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The value of the iterated integral 5∫_(-5)^(5) ∫_0^(π/2) (y + y^2 cos x) dx dy is 5π^2/4 + (π^3/12) sin 5.

To calculate the iterated integral ∬_S (y + y^2 cos x) dA over the given region S, where S is the rectangle defined by -5 ≤ x ≤ 5 and 0 ≤ y ≤ π/2, we will evaluate the integral in two steps: first integrating with respect to x and then integrating with respect to y.

Let's start by integrating with respect to x:

∫_S (y + y^2 cos x) dA = ∫_0^(π/2) ∫_(-5)^5 (y + y^2 cos x) dx dy

To integrate with respect to x, we treat y as a constant and integrate the expression (y + y^2 cos x) with respect to x over the range -5 to 5:

∫_S (y + y^2 cos x) dA = ∫_0^(π/2) [(y * x + y^2 sin x)]|_(-5)^(5) dy

Now we have an expression in terms of y only. We substitute the limits of integration for x, which are -5 and 5, into the expression (y * x + y^2 sin x) and evaluate it:

∫_S (y + y^2 cos x) dA = ∫_0^(π/2) [5y + y^2 sin 5 - (-5y - y^2 sin(-5))] dy

Simplifying further:

∫_S (y + y^2 cos x) dA = ∫_0^(π/2) [10y + 2y^2 sin 5] dy

Now we integrate the expression [10y + 2y^2 sin 5] with respect to y over the range 0 to π/2:

∫_S (y + y^2 cos x) dA = [5y^2 + (2/3)y^3 sin 5] |_0^(π/2)

Evaluating the expression at the limits:

∫_S (y + y^2 cos x) dA = [5(π/2)^2 + (2/3)(π/2)^3 sin 5] - [5(0)^2 + (2/3)(0)^3 sin 5]

Simplifying:

∫_S (y + y^2 cos x) dA = [5(π^2/4) + (2/3)(π^3/8) sin 5] - [0]

Finally, we simplify the expression:

∫_S (y + y^2 cos x) dA = 5π^2/4 + (π^3/12) sin 5

Therefore, the value of the iterated integral 5∫_(-5)^(5) ∫_0^(π/2) (y + y^2 cos x) dx dy is 5π^2/4 + (π^3/12) sin 5.

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Answer:

The number of tiles needed is 1.105.\(\overline 3\) tiles

Step-by-step explanation:

The given data on the dimensions of the bathroom wall are;

The length, l = 2.5 m

The width, w = 2.05 m

The height, h = 3 m

The dimension of the tiles with which the walls are to be covered = 15 cm by 15 cm

The dimensions of the tiles in meters = 0.15 m by 0.15 m

The number of tiles savings made on the doors and windows of the bathroom = 108 tiles

Let 'A' represent the surface area of the bathroom wall, we have;

A = h·w + h·w + l·h + l·h = 2·h·w + 2·l·h =  2·h·(w + l)

∴ A = 2 × 3 m (2.5 m + 2.05 m) = 27.3 m²

The surface area per tile, Tₐ = 0.15  × 0.15  = 0.0225

∴ Tₐ = 0.0225 m²/tile

The number of tiles needed, n = A/Tₐ - 108 tiles

∴ n = 27.3 m²/(0.0225 m²/tile - 108 tiles  = \(\left (1105+\dfrac{1}{3} \right )\) tiles = 1.105.\(\overline 3\) tiles

The number of tiles needed, n = 1.105.\(\overline 3\) tiles.

6 lb. of gourmet and 14 lb. of cheap each type should be mixed in order to have 20 pounds of coffee that is worth ​$5.50 per​ pound

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

The equals sign is a part of mathematical expressions known as equations. Often, algebra is used in equations. When a calculation requires an exact number but you don't know it, algebra is used.

G pounds of gourmet coffee

C pounds of cheap coffee

G + C = 20

$9G + $4C = $5.50 (20)

Multiply second equation by 100 to clear the decimal

900G + 400C = 550(20)

400G + 400C = 8000

Combine these two equations:

500G = 3000

               G = 6 lb. of gourmet

               C = 14 lb. of cheap

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Answer:

h ≤ 11

Step-by-step explanation:

h - 16 ≤ -5

h ≤ 11

Interval notation:

h: (−∞,11]

The normal curve to estimate the chance that the sum of the 36 draws is greater than 60. The z-score for 60 is 8.

To estimate the chance that the sum of the 36 draws is greater than 60, we need to make some assumptions about the distribution of the draws. Assuming that the draws are independent and identically distributed, we can use the Central Limit Theorem to approximate the distribution of the sum of the draws as a normal distribution with mean (mu) and standard deviation (sigma) given by:

mu = n \(\times\)ev

sigma = \(\sqrt{(n) }\)\(\times\) se

where n is the number of draws, ev is the expected value of each draw, and se is the standard error of each draw.

Without knowing the specifics of the distribution of the draws, we cannot calculate the exact values of mu and sigma. However, we can still use the normal distribution to make an estimate.

First, we need to convert the sum of the 36 draws, 60, to a z-score by subtracting the expected value and dividing by the standard error. Let's assume that the expected value of each draw is 1 and the standard error of each draw is 0.5 (these are just example values).

z = (x - mu) / sigma

z = (60 - 36) / (sqrt(36) * 0.5)

z = 8

So the z-score for 60 is 8.

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With 95% confidence, there is a statistically significant difference in the proportion of patients who developed polyps. Taking an aspirin a day appears to be effective in reducing the chance of developing subsequent polyps.

According to the study done by the Ohio State University Medical Center, a 95% confidence interval on the difference in proportions of the two groups [aspirin group (p1) minus non-aspirin group (p2)] was found to be -0.164 < p1 - p2 < -0.036. This means that the probability of the difference in the proportions of polyp development in the aspirin group and the non-aspirin group is between -0.164 and -0.036 with 95% confidence level. Since the interval doesn't contain zero, it indicates that there is a statistically significant difference in the proportion of patients who developed polyps between the two groups. Therefore, taking an aspirin a day appears to be effective in reducing the chance of developing subsequent polyps.

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The consumer price index of the raincoat by using the todays and the 1983 costs of raincoat is given by option b 151.

Todays cost of raincoat = $79.25

Cost of raincoat in 1983 = $52.48

Calculate the CPI (Consumer Price Index) in 1983,

Use the formula we have,

CPI = (Cost of the raincoat today / Cost of the raincoat in 1983) x 100

Plugging in the values given in the problem, we get,

⇒ CPI = ($79.25 / $52.48) x 100

⇒ CPI = 1.51009 x 100

⇒ CPI = 151.009

Rounding this to the nearest whole number gives a CPI of $151.

Therefore, the best answer to represent the consumer price index of the raincoat is equals to option  (b) 151.

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Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Answer:

5 trucks

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

MOEN fip

ew

Answer:4.62x10^13

Step-by-step explanation:

The probability of fraudulent applications are:

The given parameters are

n = 25

p = 0.12

The individual probability can be calculated as

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

So, we have

Probability the number of fraudulent applications in the sample is 0

P(0) = C(25, 0) * 0.12^0 * (1 - 0.12)^(25 - 0)

P(0) = 0.0410

Probability the number of fraudulent applications in the sample is 3

P(3) = C(25, 3) * 0.12^3 * (1 - 0.12)^(25 - 3)

P(3) = 0.2387

Probability the number of fraudulent applications in the sample is 3 or less

P(x ≤ 3) = P(0) + ... P(3)

Using the formula above, we have

P(x ≤ 3) = 0.4088

Probability the number of fraudulent applications in the sample is 5 or more

P(x ≥ 5) = P(5) + ... P(25)

Using the formula above, we have

P(x ≥ 5) = 0.1734

Probability the number of fraudulent applications in the sample is more than 3

P(x > 3) = 1 - P(x ≤ 3)

By substitution, we have

P(x > 3) = 1 - 0.4088

P(x > 3) = 0.5912

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the interquartile range of that plot is 10

q3 is 30 and q1 is 20 so you subtract 20 from 30 to get 10

Answer:

10

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

To find the ratio of AP/PB, find the distance between A and P, then P and B.

Distance between A(-5, 6) and P(1, 4):

\( AP = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( A(-5, 6) = (x_1, y_1) \)

\( P(1, 4) = (x_2, y_2) \)

\( AP = \sqrt{(1 -(-5))^2 + (4 - 6)^2} \)

\( AP = \sqrt{(6)^2 + (-2)^2} \)

\( AP = \sqrt{36 + 4} = \sqrt{40} \)

Distance between P(-1, 2) and B(1, -2):

\( PB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( P(1, 4) = (x_1, y_1) \)

\( B(13, 0) = (x_2, y_2) \)

\( PB = \sqrt{(13 - 1)^2 + (0 - 4)^2} \)

\( PB = \sqrt{(12)^2 + (-4)^2} \)

\( PB = \sqrt{144 + 16} = \sqrt{160} \)

\( \frac{AP}{PB} = \frac{\sqrt{40}}{\sqrt{160}} \)

\( = \frac{\sqrt{40}}{2\sqrt{40}} \)

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

Answer:

f(-2) = 4

Step-by-step explanation:

Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.

Answer:

D

Step-by-step explanation:

0.8 = 80

75% = 75

3/5 = 60

0.56 = 56

hOPE THIS HELPED

brainliestis appreicated.

Answer:

no se

tep-by-step explanation:

Answer:

The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Step-by-step explanation:

Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.

Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').

he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')

The total time is thus t + t' = 36/(v + v') + 32/(v - v')

Since the whole trip takes 6,5 hours,

36/(v + v') + 32/(v - v') = 6.5  (1)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v')  (1)

(v - v')36 + (v + v')32 = 6.5(v + v')(v - v')  (1)

36v - 36v' + 32v + 32v' = 6.5(v² + v'²)

68v - 4v' = 6.5(v² + v'²)        (2)

Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').

he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')

The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')

Since the whole trip takes 180 minutes = 3 hours,

4/(v + v') + 40/(v - v') = 3  (3)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v')  (1)

(v - v')4 + (v + v')40 = 3(v + v')(v - v')  (1)

4v - 4v' + 40v + 40v' = 3(v² + v'²)

44v - 36v' = 3(v² + v'²)      (4)

Dividing (2) by (4), we have

(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)      

(68v - 4v')/(44v - 36v') = 6.5/3

3(68v - 4v') = 6.5(44v - 36v')

204v - 12v' = 286v - 234v'

204v - 286v = 12v' - 234v'

-82v = -222v'

v = -222v'/82

v = 111v'/41

Substituting v into (2), we have

68v - 4v' = 6.5(v² + v'²)      

68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]        

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²    

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²

[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²

[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²

[7384/41]v' = 6.5[14002/1681]v'²

[7384/41]v' = [91013/1681]v'²

[91013/1681]v'² - [7384/41]v' = 0

([91013/1681]v' - [7384/41])v' = 0

⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or v' =  7384/41 × 16841/91013

⇒ v' = 0 or v' =  180.097 × 0.185

⇒ v' = 0 or v' =  33.33 km/h

Since v' ≠ 0, v' = 33.33 km/h

Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h

So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Answer:

4/5

Step-by-step explanation:

Multiply 4/1 and 5/1

Answer:

4/5

Step-by-step explanation:

The number of stamps and the cost are illustrations of unit rates

40 stamps would cost $22

The cost of 15 postage stamps is $8.25

Start by calculating the unit rate of the stamps.

\(Unit = \frac{8.25}{15}\)

\(Unit = 0.55\)

So, the number of stamps for $22 is calculated by dividing $22 by the unit rate.

So, we have:

\(Number=\frac{22}{0.55}\)

\(Number=40\)

Hence, 40 stamps would cost $22

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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As per the question, Total Annual Cash Inflows = 5000, Discount Factor = 3.72 and New Machine's internal rate of return = 16%

Note: The query is not complete and does not contain the necessary information for part 4. It is impossible to fully answer this question without the exhibits stated in the questions. Up until part 3, we will be solving it.

1) The entire annual cash inflows must be calculated for this, and the formula is given below:

Total annual cash inflows are equal to the annual savings from part-time labor plus the additional contribution margin from anticipated sales.

Annual Cash Inflows Total = 3800 + ( 1000 x 1.20)

= 3800 + 1200

= 5000

2. Formula for figuring up the discount percentage:

Discount Factor = New Machine Price/Annual Cash Flow

New machine cost is 18600 USD.

Annual inflow of cash = 5000

Discount Factor is equal to 18600/5000.

Discount Ratio is 3.72.

3.  The examples, which are absent from this question, show that the discount factor for six years is roughly closest to 16%, hence the internal rate of return for the new machine is equal to 16%.

Note, without the exhibits indicated in the questions, the question is insufficient and cannot be utilized in Part 4. It cannot be solved any further.

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Answer:

2/15

Step-by-step explanation:

LCD(4/5, 2/3) = 15

so then when you find the Least Common Denominator it will be 12/15-10/15 and then it equals 2/15

Answer:

2/15

Step-by-step explanation:

Answer:

whoa slow down one by on pls its hard for me 2 answer all that at once

Step-by-step explanation: