HELP ME PLEASE OMG! WHY WON'T ANYONE HELP ME
Identify which of the following has the smaller slope. What is the difference of the slopes?

Answer:

third answer is correct

Step-by-step explanation:

hello,

we need to compute

5*(-1)+(-2)*(-1)=-5+2=-3

-6*(-1)+(2)*(-1)=6-2=4

so the correct answer is

   -3

    4

hope this helps

If the engineers are planning a car design in which only 25 of adults fit , then this sitting height is 38.68 inches .

To find the sitting height for the tallest 2% of adults, we first find z-score for upper 2% of standard Normal Distribution ;

we know ; that z = (x - μ)/σ ;

where z is = z core, x is = sitting height , μ is = mean sitting height, and

σ is = standard deviation of sitting heights.

From the normal table : Upper 2% of standard normal distribution have a z-score of approximately 2.05 ;

So , 2.05 = (x - 35.4)/1.6 ;

Multiplying both sides by 1.6, we get ;

⇒ 3.28 = x - 35.4

On adding 35.4 to both sides, we get:

⇒ x = 38.68 ;

Therefore, the sitting height for the tallest 2% of adults is 38.68 inches .

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Answer:

negative 1 1/3

Step-by-step explanation:

you do y2 minus y1 over x2 minus x1 then you simplify.

Answer:

Step-by-step explanation:

4x+8<2x+2

Subtract 2x from both sides.

4x+8−2x<2

Combine 4x and −2x to get 2x.

2x+8<2

Subtract 8 from both sides.

2x<2−8

Subtract 8 from 2 to get −6.

2x<−6

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

x<  

2

−6  

Divide −6 by 2 to get −3.

x<−3

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Answer: x < -3

Step-by-step explanation:

The probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%

To solve this problem, we need to use conditional probability. We want to find the probability of seeing a shooting star during the first 15 minutes of the hour given that the chances of seeing a shooting star in any given hour are 80%.

First, we need to determine the probability of seeing a shooting star in the first 15 minutes of the hour. Since the probability is uniform for the entire hour, we can assume that the probability of seeing a shooting star in any given minute is 80% divided by 60 (the number of minutes in an hour), which is approximately 1.33%.

To find the probability of seeing a shooting star during the first 15 minutes of the hour, we need to add up the probabilities of seeing a shooting star in each of the 15 minutes. This can be calculated as follows:

P(seeing a shooting star in the first 15 minutes) = P(seeing a shooting star in minute 1) + P(seeing a shooting star in minute 2) + ... + P(seeing a shooting star in minute 15)
= 15 x 1.33%
= 19.95%

Therefore, the probability of seeing a shooting star during the first 15 minutes of the hour is approximately 19.95%. This means that if you go out star gazing again and the chances of seeing a shooting star are 80%, there is a 19.95% chance that you will see one during the first 15 minutes of the hour you are out.

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The expression for P(x) is -3x³ - 4.

To find the expression for P(x), we need to subtract C(x) from R(x).

Given that R(x) = 2x² - 3x³ + 2x - 1 and C(x) = x² - x² + 2x + 3, we can substitute these values into the equation P(x) = R(x) - C(x):

P(x) = (2x² - 3x³ + 2x - 1) - (x² - x² + 2x + 3)

Simplifying, we can combine like terms:

P(x) = 2x² - 3x³ + 2x - 1 - x² + x² - 2x - 3

The x² terms cancel each other out, and the 2x and -2x terms also cancel each other out:

P(x) = -3x³ - 1 - 3

Simplifying further:

P(x) = -3x³ - 4

Therefore, the expression for P(x) is -3x³ - 4.

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From the given data, we say a definite integral is improper if one endpoint is infinite, or if the integrand is infinite.

One endpoint is infinite, or if the integrand is infinite, the definite integral cannot be evaluated using the usual techniques. Instead, we must use the concept of a limit to find the value of the integral, if it exists. In the case where one endpoint is infinite, we take a limit as a variable approaches infinity. In the case where the integrand is infinite, we may need to split the integral into pieces or use some other method to deal with the singularity.

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A mixture with 64% concentration cannot be obtained

In mathematics and statistics, average refers to the sum of a group of values divided by n, where n is the number of values in the group. An average is also known as a mean.

The average is a measure of central tendency, meaning it reflects a typical value in a given set. Averages are used quite regularly to determine final concentration of two or mixtures.

Since the mixture consists of a 50% and a 60% concentration of acid solutions. The average concentration of the final mixture is within 50% and 60% and can be represented by the inequality

50 < x < 60

It cannot not be 50% or lesser in concentration and it cannot be 60% or more in concentration.

From the given options 52%, 54% and 58% are all within this range. Only 64% is outside this range.

Therefore, 64% concentration cannot be obtained.

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71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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Given the logistic growth model

we want to find the initial amount of bacteria in this problem. If we are talking about the initial amount, we have t = 0 since time doesn't lapse yet for the growth of the bacteria. Hence, for t = 0, the amount of bacteria will be

Answer:

x = -12.7

Step-by-step explanation:

\(8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}\)

Hope this helps.

Answer:

x=-127/10 or x= -12.7

Step-by-step explanation:

8(x−27)+49=87+28x

Step 1: Simplify both sides of the equation.

8(x−27)+49=87+28x

(8)(x)+(8)(−27)+49=87+28x(Distribute)

8x+−216+49=87+28x

(8x)+(−216+49)=28x+87(Combine Like Terms)

8x+−167=28x+87

8x−167=28x+87

Step 2: Subtract 28x from both sides.

8x−167−28x=28x+87−28x

−20x−167=87

Step 3: Add 167 to both sides.

−20x−167+167=87+167

−20x=254

Step 4: Divide both sides by -20.

−20x/−20

=

254/−20

x=

−127/10

It's important to approach any strategy with caution and understand its limitations.

If one wants to maximize their probability of winning in a game of 10 flips, they should set the threshold at 6.

This is because when playing a game of 10 coin flips, there are 2^10 or 1024 possible outcomes, with 512 of them resulting in a win, a loss, or a tie.

Therefore, setting the threshold at 6 ensures that they win at least 6 out of the 10 coin flips, resulting in a higher probability of winning.

However, it's worth noting that this strategy is not foolproof as it does not take into account the sequence of the coin flips.

For example, if the first 5 coin flips are tails and the last 5 are heads, setting the threshold at 6 would result in a loss.

Therefore, it's important to approach any strategy with caution and understand its limitations.

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The value of the line integral ∫C ∇f · dr along the curve C is 13/6.

Here, we have to evaluate the line integral ∫C ∇f · dr, where C has the parametric equations \(x = t^4 + 1, y = t^5 + t\), and 0 ≤ t ≤ 1,

we need to find the gradient of the function f and then compute the dot product with the differential vector dr.

First, let's find the gradient of the function f from the table of values:

x/y 0 1 2

0 1 7 3

1 3 5 9

2 6 1 6

We have the values of f at different points (x, y) in the table:

f(0, 0) = 1

f(1, 0) = 3

f(2, 0) = 6

f(0, 1) = 7

f(1, 1) = 5

f(2, 1) = 1

f(0, 2) = 3

f(1, 2) = 9

f(2, 2) = 6

Now, let's find the gradient of f with respect to x and y:

∇f = (∂f/∂x) i + (∂f/∂y) j

To find the partial derivatives, we can use finite difference approximations:

∂f/∂x ≈ (f(x+1, y) - f(x-1, y)) / 2

∂f/∂y ≈ (f(x, y+1) - f(x, y-1)) / 2

Now, we can calculate the gradient at each point:

∇f(0, 0) = (∂f/∂x)_0 i + (∂f/∂y)_0 j

≈ (f(1, 0) - f(-1, 0)) / 2 i + (f(0, 1) - f(0, -1)) / 2 j

≈ (3 - 1) / 2 i + (7 - 1) / 2 j

≈ 1 i + 3 j

∇f(1, 0) = (∂f/∂x)_1 i + (∂f/∂y)_0 j

≈ (f(2, 0) - f(0, 0)) / 2 i + (f(1, 1) - f(1, -1)) / 2 j

≈ (6 - 1) / 2 i + (5 - 0) / 2 j

≈ 2.5 i + 2.5 j

∇f(2, 0) = (∂f/∂x)_2 i + (∂f/∂y)_0 j

≈ (f(3, 0) - f(1, 0)) / 2 i + (f(2, 1) - f(2, -1)) / 2 j

≈ (3 - 6) / 2 i + (1 - 0) / 2 j

≈ -1.5 i + 0.5 j

∇f(0, 1) = (∂f/∂x)_0 i + (∂f/∂y)_1 j

≈ (f(1, 1) - f(-1, 1)) / 2 i + (f(0, 2) - f(0, 0)) / 2 j

≈ (5 - 7) / 2 i + (3 - 1) / 2 j

≈ -1 i + 1 j

∇f(1, 1) = (∂f/∂x)_1 i + (∂f/∂y)_1 j

≈ (f(2, 1) - f(0, 1)) / 2 i + (f(1, 2) - f(1, 0)) / 2 j

≈ (1 - 5) / 2 i + (9 - 3) / 2 j

≈ -2 i + 3 j

∇f(2, 1) = (∂f/∂x)_2 i + (∂f/∂y)_1 j

≈ (f(3, 1) - f(1, 1)) / 2 i + (f(2, 2) - f(2, 0)) / 2 j

≈ (6 - 1) / 2 i + (6 - 5) / 2 j

≈ 2.5 i + 0.5 j

∇f(0, 2) = (∂f/∂x)_0 i + (∂f/∂y)_2 j

≈ (f(1, 2) - f(-1, 2)) / 2 i + (f(0, 3) - f(0, 1)) / 2 j

≈ (1 - 6) / 2 i + (0 - 3) / 2 j

≈ -2.5 i - 1.5 j

∇f(1, 2) = (∂f/∂x)_1 i + (∂f/∂y)_2 j

≈ (f(2, 2) - f(0, 2)) / 2 i + (f(1, 3) - f(1, 1)) / 2 j

≈ (6 - 1) / 2 i + (9 - 5) / 2 j

≈ 2.5 i + 2 j

∇f(2, 2) = (∂f/∂x)_2 i + (∂f/∂y)_2 j

≈ (f(3, 2) - f(1, 2)) / 2 i + (f(2, 3) - f(2, 1)) / 2 j

≈ (6 - 1) / 2 i + (6 - 5) / 2 j

≈ 2.5 i + 0.5 j

Now that we have the gradient ∇f at each point (x, y), we can compute the line integral along the curve C:

∫C ∇f · dr = ∫(0 to 1) ∇f · dr

The differential vector dr in cylindrical coordinates is given by:

dr = dx i + dy j

= (dx/dt) dt i + (dy/dt) dt j

= \((4t^3 dt) i + (5t^4 + dt) j\)

Now, compute the dot product ∇f · dr and integrate along the curve C:

∫C ∇f · dr = ∫(0 to 1) ∇f · dr

= ∫(0 to 1) (∇f · \((4t^3 dt) i\) + ∇f · \((5t^4 + dt) j\))

= ∫(0 to 1) (\(4t^3\) ∇f · i + (\(5t^4 + 1\)) ∇f · j) dt

Now, substitute the values of ∇f at each point (x, y):

∫C ∇f · dr = ∫(0 to 1) (\(4t^3\) (1) + (\(5t^4 + 1\)) (t)) dt

= ∫(0 to 1) \((4t^3 + 5t^5 + t)\) dt

Now, integrate with respect to t from 0 to 1:

∫C ∇f · dr = [\(t^4 + (5/6)t^6 + (1/2)t^2\)] |_(0 to 1)

∫C ∇f · dr = (1 + 5/6 + 1/2) - (0 + 0 + 0)

∫C ∇f · dr = (13/6)

Therefore, the value of the line integral ∫C ∇f · dr along the curve C is 13/6.

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Answer:

1.5

Step-by-step explanation:

cause I said so and I'm big brained and you should listen to me because  I should be doing 8th grade math but instead I'm doing 7th

It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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The probability of selecting a pen from the first box is 1/8 (since there is only 1 pen out of 8 items in the box). The probability of selecting a crayon from the second box is 3/6 (since there are 3 crayons out of 6 items in the box).

To find the probability of both events happening together, we multiply the probabilities:

P(pen and crayon) = P(pen) x P(crayon)

P(pen and crayon) = (1/8) x (3/6)

Simplifying the fraction 3/6 to 1/2:

P(pen and crayon) = (1/8) x (1/2)

Multiplying the numerators and denominators:

P(pen and crayon) = 1/16

Therefore, the probability of selecting a pen from the first box and a crayon from the second box is 1/16.

Answer:

Explanation:

Let Vc be the velocity of the car and I'm the velocity of the motorcycle. If we convert their given values, we get:

Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s

Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s

Since their positions are equal after 17s we can stablish that:

Where d is the initial separation distance of 54m. Solving for a, we get:

  Repacing the values:

Answer:

5

Step-by-step explanation:

Answer:

the question dear sister

The value of the objective function at this point is Z = 840.  The solution (7, 7) is feasible.

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)Step-by-step explanation is given below:Function: Linear Programming modelSolution:

a. Formulation of linear programming model:To solve this problem, the following linear programming model can be used:x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)  

b. Checking for feasible solutionsWe need to check the following solutions:(x1, 32) (7, 7) (7, 8) (8, 7) (8, 8) (8, 9) (9, 8)Let us substitute the values in the linear programming model for each solution:Solution: (x1, 32)30x1 + 126(32) = 4,752 + 4,032 = 8,784 > 4,752 (Infeasible)Solution: (7, 7)30(7) + 126(7) = 966 < 4,752 (Feasible)60(7) + 126(7) = 1,092 < 8,436 (Feasible)Solution: (7, 8)30(7) + 126(8) = 5,070 > 4,752 (Infeasible)Solution: (8, 7)30(8) + 126(7) = 5,016 > 4,752 (Infeasible)Solution: (8, 8)30(8) + 126(8) = 5,196 > 4,752 (Infeasible)Solution: (8, 9)30(8) + 126(9) = 5,322 > 4,752 (Infeasible)Solution: (9, 8)30(9) + 126(8) = 5,358 > 4,752 (Infeasible)Therefore, only the solution (7, 7) is feasible.

c. Expressing the model in algebraic form:We have,x1 = Activity 1 (in units)x2 = Activity 2 (in units)Maximize Z = 60x1 + 50x2 subject to30x1 + 126x2 ≤ 4,752 (Acceptable limit)60x1 + 126x2 ≤ 8,436 (Benefit 1)The solution x = (7, 7) is feasible and optimal, with Z = 60(7) + 50(7) = 840.d. Using the graphical method:Below is the graph plotted for the above linear programming model:graph{(y-4752)/126<=-(3/2)x+316}The feasible region is given by the shaded region in the graph. The optimal solution is (7, 7), which is at the point of intersection of the two lines. The value of the objective function at this point is Z = 840.

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Answer:

Step-by-step explanation:

we are going to assume a diameter of the hole has 6in

the radius of the ball is 3in

we looking at a range of the hole greater by (3<4)

we know that the circumference of a circle is given as

the circumference of the ball is

C=2πr

C=2*3.142*3

C=18.85in

The circumference of the hole is ( 1 inch greater )

C=2πr

say the diameter is 6in plus 1in = 7in

the radius =3.5in

C=2*3.142*3.5

C=21.99

compare with the ball the difference is 21.99-18.85

=3.14 which is in the range

The circumference of the hole is ( 2inches greater. )

C=2πr

say the diameter is 6in plus 2in = 8in

the radius =4in

C=2*3.142*4

C=25.13in

compare with the ball the difference is 25.13-18.85

=6.28 which is out of  the range

Answer:

x = 7

Step-by-step explanation:

∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.

\(m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x\)

Answer:

\( \displaystyle x = 15\)

Step-by-step explanation:

by triangle midsegment theorem we obtain:

\( \displaystyle \frac{10x + 44}{2} = 8x - 23\)

simplify division:

\( \displaystyle 5x + 22 = 8x - 23\)

move 5x to right hand side and -23 to the left hand side and change its sign:

\( \displaystyle 22 + 23= 8x - 5x\)

simplify addition:

\( \displaystyle 8x - 5x = 45\)

collect like terms:

\( \displaystyle 3x = 45\)

divide both sides by 3:

\( \displaystyle x = 15\)

and we are done!

Answer:

{x,y} = {3,-2}

Step-by-step explanation:

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The equations are given below.

5x + 7y = 1

x + 4y = -5​

Convert the equation into an intercept form. Then we have

From equation 1, then we have

5x + 7y = 1

x / (1/5) + y / (1/7) = 1

From equation 2, then we have

x + 4y = -5​

x / (-5) + y / (-5/4) = 1

The lines are drawn below.

Then the intersection point is (3, -2). Then the solution of the equations will be (3, -2).

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Answer:

- Take the length and width, and multiply

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Bos Ross amount in commission is 3276 dollars.

Bos Ross gross pay is 5346 dollars.

Washington plastic product pays Bob Ross a 2070 dollars monthly salary plus 4% commission on merchandise he sells each month.

Bob sales were  81900 last month. Therefore, let's calculated his commission and gross pay.

Therefore,

commission = 4% of 81900

commission = 4 / 100 × 81900

commission = 4 × 819

commission = 3276 dollars

Hence, let's find his gross pay

Gross pay = monthly salary + commission

monthly salary = 2070 dollars

commission = 3276 dollars

Gross pay = 2070 + 3276

Gross pay = 5346 dollars

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Answer:

4 1/2 pounds of meat

Step-by-step explanation:

if you have 2 adding fractions with 3 quarters just add it like 1 1/2 + 2 1/2 and add half to your final answer

Answer:

(-3 , -3)

Step-by-step explanation:

A: (-1,2), B: (1,2), and C: (-1,-3)  .... D: (x,y)

slope of AB = (2-2)/(1 - -1) = 0    .... parallel to x axis

x coordinate of A is 2 units left to B (-1 vs 1)

y coordinate of C is 2 units left to B so D must be 2 units left to C: -1 -2 = -3

DC // AB , y coordinate of D = C = -3

D: (-3 , -3)

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The solution is the point where the two lines intersect each other, in this case

(-4,1)

Meaning

x=-4 and y=1