help please ?

A.62.8
B.20.9
C.41.9
D.120

Answer:

If a house need 50 hours to paint, it will cost $3000

Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500

--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.

--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.

Answer:

a=-16/9

m=26/9

k=-71/20

Step-by-step explanation:

Answer:

A.) Angle CAD

Step-by-step explanation:

Hope this helps! :)

Answer:

E; 8x9 is equal to 72 which estimated is 70

Answer:

a c and e

Step-by-step explanation:

the answers are A C and E

The value of p(1), p(-2), and p(8) is 0, 744 and 0 respectively

Given the function \( p(x)= 192 + 21x^3 + 54x^2 - 3x^4 - 264x\)

We are to get the following parameters:

\( p(1)= 192 + 21(1)^3 + 54(1)^2 - 3(1)^4 - 264(1)\\

p(1)=192+21+54-3-264\\

p(1)=0\)

For p(-2)

\( p(-2)= 192 + 21(-2)^3 + 54(-2)^2 - 3(-2)^4 - 264(-2)\\

p(-2)=192-168+216-24+528\\

p(-2)=744\)

For p(8)

\( p(8)=192 + 21(8)^3 + 54(8)^2 - 3(8)^4 - 264(8)\\p(8)=192+10,752+3,456-12,288-2,112\\p(-2)=0\)

Hence the value of p(1), p(-2), and p(8) is 0, 744 and 0 respectively

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Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Answer:

0.00020

Step-by-step explanation:

2.0 and it you do 2/1000 than you whind up with

0.00020

Step-by-step explanation:

I hope this answer is helpful ):

The slope of a line refers to the steepness of the line on a graph. The slope of a line tells us the rate at which the line is changing. This means that the slope of a line will give us an idea of how quickly the y-values are changing in relation to the x-values.A slope of 3/4 means that for every 4 units the x-value changes, the y-value will change by 3 units.

In other words, the line is increasing by a rate of 3/4, which is equivalent to a rate of 0.75. If we were to plot this line on a graph, we would see that it is not a very steep line, as the slope is less than 1. This means that the rate of change is not very fast, and the line is increasing at a moderate pace.The slope of a line can also be interpreted as the ratio of the vertical change to the horizontal change. So, for every 4 units the line moves to the right, it moves up by 3 units. This is known as the rise over run, which can be used to find the slope of any line on a graph.Overall, the slope of a line tells us the rate at which the line is changing.

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We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.

The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.

The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:

P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)

= 1/52 + 1/52

= 2/52

= 1/26

So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.

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The probability is 2/52 or 1/26.

To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the

Addition rule.

Calculate the probability of the top card being the ace of spades:

There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.

Calculate the probability of the bottom card being the ace of spades:

This is also 1/52 since there's still 1 ace of spades among the 52 cards.

Apply the Addition rule:

Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as

the ace of spades can't be in both positions).

So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.

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Answer:

4x2(2x – 3)(x + 6)

Step-by-step explanation:

Given expression: 8x^4 + 36x^3 - 72x^2

Step 1: Identify the greatest common factor (GCF) of the terms.

In this case, the GCF is 4x^2. We can factor it out from each term.

Step 2: Divide each term by the GCF.

Dividing each term by 4x^2, we get:

8x^4 / (4x^2) = 2x^2

36x^3 / (4x^2) = 9x

-72x^2 / (4x^2) = -18

Step 3: Rewrite the expression using the factored form.

Now that we have factored out the GCF, we can write the expression as:

8x^4 + 36x^3 - 72x^2 = 4x^2(2x^2 + 9x - 18)

The factored form is 4x^2(2x^2 + 9x - 18).

Step 4: Compare the factored form with the given options.

a. 4x(2x - 3)(x^2 + 6)

b. 4x^2(2x - 3)(x + 6)

c. 2x(2x - 3)(2x^2 + 6)

d. 2x(2x + 3)(x^2 - 6)

Among the options, the one that matches the factored form is:

b. 4x^2(2x - 3)(x + 6)

So, the correct answer is option b. 4x2(2x – 3)(x + 6)

Answer:

3

Step-by-step explanation:

Since D=8, you input it in

5(8)-25/5=

5(8)=40

40-25= 15

15 divided by 5 is 3

Answer:

The volume of Cone B is twice the volume of Cone A.

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h  where r is the radius and h is the height.

Cone A

d = diameter

r = radius

h = height

V = 1/3 pi r^2 h

Cone B

The diameter is double the diameter of A.

2d  so the radius is 2r

The height is half the height of A.

1/2 h

Substitute into the equation for volume.

V = 1/3 pi ( 2r)^2 (1/2 h)

V = 1/3 pi (4r^2) (1/2h)

V = 1/3 pi 2r^2 h

The volume of Cone B is twice the volume of Cone A.

Answer:

Cone B has a greater volume.

Step-by-step explanation:

Cone B has the greatest volume.

The volume of a cone is calculated using the following formula:

\(\boxed{\bold{\tt{Volume\: of\:cone = \frac{1}{3}\pi*r^2h}}}\)

where:

For Cone A.

\(\boxed{\bold{\tt{Volume\: of\:cone\: (A)= \frac{1}{3}\pi*r^2h}}}\)

For Cone B

In this case, the radius of Cone B is double the radius of Cone A, and the height of Cone B is half the height of Cone A. This means:

radius(r)=2r

height(h)= \(\tt{\frac{1}{2}*\frac{h}{2}}\)

\(\boxed{\bold{\tt{Volume\: of\:cone\: (B)= \frac{1}{3}\pi*(2r)^2*\frac{h}{2}}}}\)

\(\boxed{\bold{\tt{Volume \: of\:cone (B)= 2*\frac{1}{3}\pi*r^2h}}}\)

\(\boxed{\bold{\tt{Volume(B) =2*Volume\: of\:cone(A)}}}\)

Since the volume of cone B is twice the volume of Cone A.

Therefore, Cone B has a greater volume.

Answer:

Step-by-step explanation:

Answer:

a) 8:20

b) 14:28

Step-by-step explanation:

When v= 15 ft/s stopping distance we get is  26.9 ft. and,

When  d= 91.25 ft its velocity we get is 39.9 ft/s.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance traveled between the moment the body decides to stop a moving vehicle and the moment the vehicle comes to a complete stop is known as the stopping distance.

Total stopping distance = d

where, d= vt + (v²/ 2μg)

where v= initial velocity in feet/ s

           t= driver's reaction time in seconds

           μ= coefficient of friction

we use, g= 32 ft / s²

It is given that average reaction time is 1.5 seconds.

and μ= 0.8

a. we have to calculate stopping distance when v= 15 ft/s ,

    putting all the desired values

    d= vt + (v²/ 2μg)

    d=  15 ft/s * 1.5 sec + (15 ft/s)² / 2 * 0.8* 32 ft / s²

    Hence, d= 26.89 ft

     Answer should be in nearest tenth so, answer will be 26.9 ft.

   when d= 91.25 ft.

   putting all the desired values

   d= vt + (v²/ 2μg)

   91.25 ft = v* 1.5sec + v²/2* 0.8* 32 ft / s²

   Multiplying both sides by 51.2

   we get,

   v² + 77.25v - 4672 =0

   hence v= 39.86 ft/s , as another negative one is ignored.

    Answer should be in nearest tenth so, answer will be 39.9 ft/s

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Answer:

3:25 pm

Step-by-step explanation:

The distance between New Orleans and Houston is : 353 miles

Departure time of the bus : 12:20 pm

Speed of the bus: 60 mph

After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles

Distance remaining to cover = 353-45 = 308 miles

Speed of the motorcycle = 72 mph

Relative speed = 60 + 72 = 132 mph

Time the two will meet = 308 / 132 =  7/3 hrs

7/3 hrs = 2 hrs  20 minutes

Time the two will meet is ;

12:20 pm + 45 minutes + 2 hrs 20 minutes

= 3:25 pm

Both the bus and the motorcycle are driving opposite to each other.

From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM

The time at which both the motorcycle and the  bus will pass each other.

Let after t hour from the time when motorcycle starts, they both meet.

Then we have:

353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.

Since 45 minutes is three fourth of an hour, thus:

Distance traveled by bus in 45 minutes is calculated as:

\(D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles\)

Distance traveled by bus in t hours is:

\(D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles\)

Distance traveled by motorcycle in t hour is:

\(D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.\)

Thus, we have:

\(353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes\)

Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM

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The answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration. To evaluate the integral ∫sec²(3x-2) dx, we can use the u-substitution method. This method involves selecting a suitable substitution that makes the integral easier to evaluate. In this case, the substitution u = 3x-2 would be useful.

To use u-substitution, we first need to find the derivative of u with respect to x, which is du/dx = 3. We can then solve for dx by dividing both sides by 3, giving us dx = du/3.

Substituting u and dx in terms of u into the integral, we get:

∫sec²(3x-2) dx = ∫sec²u (du/3)

Now we can evaluate the integral by using the formula for the integral of sec²x, which is tan x + C. Substituting back x in terms of u, we get:

∫sec²(3x-2) dx = (1/3)∫sec²u du = (1/3)tan(3x-2) + C

Therefore, the answer to the integral ∫sec²(3x-2) dx is (1/3)tan(3x-2) + C, where C is the constant of integration.

In conclusion, the u-substitution u = 3x-2 is useful in evaluating the given integral, and it allows us to simplify the integral using a well-known formula for the integral of sec²x.

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Two events that are collectively exhaustive are event 1: a value of 6 or more and event 2: a value of 7 or less.

These events are collectively exhaustive because the events cover the entire possible range of values of the dice rolls. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either 6 or less, or it is greater than 6. This means that the sum of the dice rolls is either 7 or more, or it is less than 7.

Another set of events that are collectively exhaustive are event 1: rolling an even number and event 2: rolling an odd number. These events are collectively exhaustive because the events cover the entire set of possible outcomes of rolling two dice. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either even or odd. This means that the sum of the dice rolls is not both even and odd at the same time.

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Step-by-step explanation:

What's 11,000lb in tons

it 5.5 us tone

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

Answer:

see below

Step-by-step explanation:

She got 3 questions wrong

3*5 = 15

She missed 15 points

40-15 = 25

She got 25 points right

25/40 =.625 =62.5%

If she got x questions wrong

5x is the points missed

40 -5x is the points correct

(40-5x)/40 = score  

Answer:

25pts

Step-by-step explanation:

Answer:

2a bro

Step-by-step explanation:

2a since it have the same constant letter

Answer:

2a

Step-by-step explanation:

took the test

Answer:

x-12

Step-by-step explanation:

hope this helps :D

Answer:

Its B

Step-by-step explanation:

n represents the number, as you can see it's being added by 6

therefore, it's B!!!

Hope It Helps!!!!!!!

substitution

2x+y=5

y = -2x+5 (1)

3x-3y=3 (2)

1 ⇒ 2

3x - 3(-2x+5) = 3

3x+6x-15=3

9x=18

x=2

y = -2(2)+5

y = 1

Life Insurance Corporation (LIC) issued a policy in his favor charging a lower premium than what it should have charged if the actual age had been given. the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

The optimal value of the given LP problem is 45,000. In this problem,  x1 = 5,

x2 = 0 and

x3 = 10.

Therefore, the objective function value = 7x1 + 5x2 + 9x3 will be 45,000, which is the optimal value.

problem is Minimize z = 7x1 + 5x2 + 9x3

subject to the constraints: i. 2x1 + x2 – 0.5x3 ≤ 5ii. 0.9x1 - 0.1x2 - 0.1x3 ≤ 10iii. x1 ≤ 14iv. x2 ≤ 20v. x3 ≤ 10vi. 3x1 + x2 + 2x3 ≤ 50

Duality: Maximize z = 5y1 + 10y2 + 14y3 + 20y4 + 10y5 + 15,000y6

subject to the constraints:2y1 + 0.9y2 + y3 + 3y6 ≥ 7y1 - 0.1y2 + y4 + y6 ≥ 0.5y1 - 0.1y2 + y5 + 2y6 ≥ 0y3, y4, y5, y6 ≥ 0 Now, we will solve the dual problem using the Simplex method. Using Excel Solver, As per complementary slackness theorem, the value of the objective function of the dual problem = 45,000, which is same as the optimal value of the primal problem. Therefore, the optimal solution of the primal problem is (x1,x2,x3)=(5,0,10) and the objective function value is 45,000.

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if it's helpful ❤❤❤

THANK YOU

Heart rate refers to the number of times the heart beats per minute, and is an indicator of cardiovascular health and fitness. It can be affected by factors such as age, activity level, and overall health.

Hours of exercise per week refers to the amount of time spent engaging in physical activity or exercise over a period of seven days. It is often recommended for maintaining good physical and mental health.

Based on the information provided, the study investigates the relationship between hours of exercise per week and resting heart rate. Here's a step-by-step explanation:

1. Identify the population model being estimated: The appropriate model is one where resting heart rate ('HeartRate') is the dependent variable, and hours of exercise per week ('Exercise') is the independent variable. From the given options, this corresponds to:
Answer 1: C. Heart Rate = bo + b Exercise

2. Determine the intercept and slope using the graph: Based on the plot provided, we can approximate the intercept (bo) and slope (b) of the line of best fit. These values represent the starting point (resting heart rate without exercise) and the change in heart rate for each additional hour of exercise per week, respectively.

Answer 2: Intercept (bo) ≈ 79
Answer 3: Slope (b) ≈ -4

So, the estimated population model is: HeartRate = 79 - 4 * Exercise

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Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³