2/5 times -6/5 I need a answerrrr!!

Given:

Speed to train = 200km/h

The train sets off from Station A at 12:24.

Reaches station B at 14:12.

To find:

The distance between both stations.

Solution:

We have,

Speed to train = 200km/h

Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.

Time = 1 hr 48 min

Time = 1.8 hours            [ 1 hr = 60 minutes]

Let d be the distance between both stations.

We know that,

\(Speed=\dfrac{Distance}{Time}\)

\(200=\dfrac{d}{1.8}\)

\(200\times 1.8=d\)

\(360=d\)

Therefore, the distance between the two stations is 360 km.

Answer:

To find the volume of the container, we need to use the formula for the volume of a cylinder, which is:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Since the diameter of the ball is 9.60 inches, the radius is half of that, or 4.80 inches.

Since the height of the container is the same as the diameter of the ball, the height is also 9.60 inches.

Substituting the values into the formula, we get:

V = π(4.80)^2(9.60)

V ≈ 661.95 cubic inches

Therefore, the volume of the container is approximately 661.95 cubic inches.

Answer:

56 inches

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Here A = 196 , then

s² = 196 ( take square root of both sides )

s = \(\sqrt{196}\) = 14

The perimeter is the sum of the 4 congruent sides , so

perimeter = 4 × 14 = 56 inches

Answer:

$17.227 -> $17.23

Step-by-step explanation:

$14.98 × 0.15 = $2.247

$14.98 + $2.247 = $17.227

Answer:

symmetrical

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

count across and then down

The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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Answer:

x = 20

Step-by-step explanation:

PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

this is the order

so first

4x + 8 -2x = 4x - 12

No exponents

no Multiplication

No division

Addition

So for this, we have to subtract the 4x on both sides to get

x + 8 - 2x = -12

then do -8

x - 2x = -20

then

-x = -20

x = 20

Answer:

x=10

Step-by-step explanation:

*The eight is negative and not positive. The answer is x=10

Answer:

If the temperature cooled by 4° on the first day of the year, and then heated up 7° on the second day, the net change in temperature would be a 3° increase. This means that the temperature increased by a total of 3° over the two days.

Step-by-step explanation:

On the first day of the year, the temperature starts at a certain degree (let's call it X).

On the same day, the temperature cools by 4°. This means that the temperature becomes X - 4°.

On the second day of the year, the temperature starts at X - 4° (the temperature from the previous day).

On the second day, the temperature heats up by 7°. This means that the temperature becomes (X - 4°) + 7° = X + 3°.

The net change in temperature over the two days is X + 3° - X = 3°.

I hope this helps to clarify the example! Let me know if you have any further questions.

Answer:

x = (k-14)/5

Step-by-step explanation:

5x + 14 = k

Subtract 14 from each side

5x + 14-14 = k-14

5x = k-14

Divide by 5

5x/5 = (k-14)/5

x = (k-14)/5

Answer:

k - 14/5

Step-by-step explanation:

5x + 14 = k

On subtracting 14 on both sides,

5x = k - 14

On dividing by 5 on both sides,

x = k - 14/5

Therefore, the value of x = k-14/5

Hope this helps You

Please mark as the Brainliest

Thank You

Answer:

Step-by-step explanation:

A:1250

B:1.75*400=700, 440*1.25=550, 700+550=1250

ur welcome

[Part A] Answer: $1,250

Step-by-step explanation:

    We are given that the first 400 boxes are $1.75 each, then it is $1.25 each beyond that. They bought 840 boxes.

    The first 400 are $1.75, then the last 440 are $1.25 since 800 - 400 = 440.

    We will multiply the cost by the number, then add them together for the final total.

[Part B] (400 * $1.75) + (440 * $1.25) = $700 + $550 = $1,250

Answer:

4784.

Step-by-step explanation:

8 * 598 = 8(600- _2_)

=

8 (600) - 8(_2_)

= 4800 - _16_

= 4784__

Answer:

3x^2-2x-2

Step-by-step explanation:

2x^2 - 6x - 2 and x^2 + 4x

2x^2 - 6x - 2 +x^2 + 4x

Combine like terms

2x^2  +x^2- 6x + 4x- 2

3x^2            -2x        -2

Based on the calculations, the sum of 2x² - 6x - 2 and x² + 4x is equal to 3x² - 2x - 2.

In Mathematics, the standard form of a quadratic equation is given by this mathematical expression:

ax² + bx + c = 0.

In this exercise, you're required to determine the sum of the given quadratic equations. Thus, we would add the equations together as follows:

2x² - 6x - 2 + x² + 4x

Combining like terms, we have:

2x² + x² + 4x - 6x - 2

3x² - 2x - 2

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The probability that a randomly selected cup of hot chocolate would have a temperature of less than 166 degrees is approximately 0.0726, or 7.26%. This would not warrant a replacement cup as it is not considered unusual or significantly deviant from the mean.

- To obtain the probability that a randomly selected cup of hot chocolate would have a temperature of less than 166 degrees, we can use the Z-score and the standard normal distribution.

First, let's calculate the Z-score for the temperature of 166 degrees using the formula:

Z = (X - μ) / σ

where X is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

Z = (166 - 175) / 6.2

Z = -1.4516

Next, we can use a Z-table or a statistical software to find the probability associated with the Z-score of -1.4516.

Looking up the Z-score in the table, we find that the probability is approximately 0.0726.

- To determine whether this outcome is unusual or warrants a replacement cup, we can consider the significance level or the threshold for unusualness.

Commonly, a significance level of 5% (0.05) is used. If the probability of an outcome falls below this threshold, it can be considered unusual.

In this case, the probability of less than 166 degrees is 0.0726, which is greater than 0.05. Therefore, this outcome would not be considered unusual at a significance level of 5%.

It means that a cup of hot chocolate with a temperature below 166 degrees is within the expected range of temperatures based on the given mean and standard deviation and hence, it would not warrant a replacement cup.

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The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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To determine whether the engineer's claim that the method is unbiased is false, we need to perform a hypothesis test.

The null hypothesis, denoted as H0, assumes that the method is unbiased, meaning that the mean error is zero. The alternative hypothesis, denoted as Ha, assumes that the method is biased, and the mean error is not zero.

Given a sample of 18 measurements with a mean error of 457.7 kNm and a standard deviation of 317.7 kNm, we can calculate the test statistic using a t-test. The test statistic is calculated by dividing the sample mean by the standard deviation divided by the square root of the sample size.

If the calculated test statistic falls within the rejection region defined by a chosen significance level, typically denoted as α, we can reject the null hypothesis and conclude that the engineer's claim of unbiasedness is false. The significance level determines the probability of making a Type I error, which is the probability of rejecting a true null hypothesis.

To make a definitive conclusion, we would compare the calculated test statistic to the critical value(s) from the t-distribution table or use statistical software to calculate the p-value associated with the test statistic. If the p-value is less than the significance level, we reject the null hypothesis and conclude that the claim of unbiasedness is false. Conversely, if the p-value is greater than the significance level, we fail to reject the null hypothesis and cannot conclude that the claim is false.

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Answer:

B. -8

Step-by-step explanation:

Answer:

never.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Any ride takes $2.00 and one mile takes $0.20.

Cost = $0.20 + $2.00

Cost = $2.20

Answer:

48

Step-by-step explanation:

48 because you are multiplying it by -2 each time. -24 x -2 = 48

Answer:

6x^2+21x+18

Step-by-step explanation:

hope this helps!!!

Answer:

\(6x^2+21x+18\)

Step-by-step explanation:

\((2x+3)(3x+6)\\\\(2x)(3x)+(2x)(6)+(3)(3x)+(3)(6)\\\\6x^2+12x+9x+18\\\\6x^2+21x+18\)

Remember to use FOIL (First, Outer, Inner, Last)

Answer:

i think its 62.5%

Step-by-step explanation:

have a good day :)

Answer:

37.5%

Step-by-step explanation:

Ok I always do these problems in a weird way cuz im autistic but here's my process...

10% of 40 is 4

5% of 40 is 2

2.5% of 40 is 1

4 goes in to 25 6 times

4x6=24

which is one less than 25

so there's six 10%s which is 60%

plus the extra 2.5%

so it's 62.5%

so the item is 37.5% off...

Answer:

4(6+d)

Step-by-step explanation:

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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The function that has a well-defined inverse is b. : → (x) = 2x - 5.

To explain why this function has a well-defined inverse, we need to consider the conditions for a function to have an inverse.

For a function to have an inverse, each input value (x) must have a unique output value (y), and each output value must have a unique corresponding input value. In other words, the function must be one-to-one, with no two different input values producing the same output value.

In the case of function b. : → (x) = 2x - 5, it is a linear function with a constant slope of 2. This means that for every different input value (x), we get a unique output value (y) through the formula 2x - 5.

Moreover, the fact that the coefficient of x is non-zero (2 in this case) ensures that no two different input values can produce the same output value. This guarantees the one-to-one nature of the function.

To find the inverse of b(x), we can follow these steps:

1. Replace the function notation with the variable y: x = 2y - 5.

2. Solve for y: x + 5 = 2y, y = (x + 5)/2.

3. Replace y with the inverse function notation: b^(-1)(x) = (x + 5)/2.

Therefore, the function b(x) = 2x - 5 has a well-defined inverse given by b^(-1)(x) = (x + 5)/2, satisfying the conditions for a function to have an inverse.

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Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

\(Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s\)

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

\(Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s\)c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

\(Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3\)

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

Answer:

Step-by-step explanation:

a)34 m/s

b) 40k=34

k=34/40

k=0.85 m/s

Answer:

1. 6

2. 2

3. -1

4. 0

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

For equation (1), y' = xy + y, we can see that it is a linear differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 1.

For equation (2), y' = y^2(22+y^2), we can see that it is a Bernoulli differential equation since it is a first-order equation and the terms involving y and its derivatives have a power of 2.

To find the general solution of equation (2), we can use the following steps:

Divide both sides by y^2 to obtain y^(-2)y' = 22+y^2.

Substitute u = y^(-1) to obtain u' = -22u - 1.

Solve for u using separation of variables to obtain u = Ce^(-22x) - (x+D), where C and D are constants.

Substitute back y^(-1) for u to obtain the general solution y = (Cx+D)/(1-22xy), where C and D are constants.

Therefore, the general solution of equation (2) is y = (Cx+D)/(1-22xy), which is a rational function.

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