Jaswat set out to walk a distance of 12 Km. After walking for 1 1/2 hours at a speed of
6 Km/h, he had to slow down to steady pace of 4 Km/h , which he maintained till the
end of the journey. How long did he take to complete the journey?

Answer:

$ 6.20 Cents

Step-by-step explanation:

17 - 5.50= 11.5

11.50 - 5.30= 6.2

Add A Zero at the end

You Get 6.20

Step-by-step explanation:

let chairs be C and sofas be S

The objective function is

Maximize

90C+75S=P

The constraints are

carpentry

3C+2S=66------1

finishing

9C+4S=180-----2

upholstery

2C+10S=200-----3

C>0, S>0

The linear programming is

3C+2S=66

9C+4S=180

2C+10S=200

Answer:

x = 41

Step-by-step explanation:

Thus, we can find x by setting (x + 22)°, (2x - 6)°, and x° equal to 180:

(x + 22) + (2x - 6) + x = 180

(x + 2x + x) + (22 - 6) = 180

4x + 16 = 180

4x = 164

x = 41

Thus, x = 41

Check the validity of the answer:

We can check that x = 41 is the correct answer by pluggin in 41 for x in (x + 22)°, (2x - 6)° and x° and seeing whether the sum is 180:

(41 + 22) + (2(41) - 6) + 41 = 180

63 + (82 - 6) + 41 = 180

63 + 76 + 41 = 180

139 + 41 = 180

180 = 180

Thus, our answer is correct.

Answer:

The last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

trust me its D ;)

There are 6 ounces of coffee left in the pot after Emily poured 3/4 of it out.

Given that, Emily poured 3⁄4 of the coffee out of her 24-ounce coffee pot.

This means that Emily kept only ( 1 - 3/4 ) of the original amount of coffee in the pot.

Which is: 1 - 3/4 = 1/4

To find out how much coffee is left in the pot, we need to calculate 1/4 of the original amount, which is:

coffee is left in the pot = 1/4 × original amount

coffee is left in the pot = 1/4 × 24 ounces

coffee is left in the pot = 6 ounces

Therefore, there are 6 ounces of coffee left.

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Answer:

100 miles

Step-by-step explanation:

Given :

To work :

speed = 50mph

Let time taken = x

From work :

speed = 40mph

30 minutes = 30/60 = 0.5

Time taken = x + 0.5

Distance from home to work :

Distance = speed * time

To work distance = from work distance

This can be algebraically expressed as :

50 * x = 40(x + 0.5)

50x = 40x + 20

50x - 40x = 20

10x = 20

x = 20/10

x = 2

Hence,

Distance = 50 * 2 = 100

The the distance from home to work = 100 miles

The distance from Michael home to work is 100 miles

Speed is the ratio of the total distance travelled to the total time taken. It is given by:

Speed = distance / time

Let d represent the distance from Michael home to work. Hence:

He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:

d/50 = (d - 20) / 40

40d = 50d - 1000

10d = 1000

d = 100 miles

The distance from Michael home to work is 100 miles

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a. The initial height of the ball at time = 0 is 2.0 meters.

b. The ball is at the maximum height at 2.05 seconds.

c. The maximum height of the ball is 23.01 meters.

d. It took the ball 4.20 seconds to hit the ground.

Based on the information provided, we can logically deduce that the height (h) in meters, of this ball above the​ ground is related to time (t) by the following quadratic function:

h(t) = -5t² + 20.5t  + 2

Part a.

In order to determine the initial height of the ball, we would substitute t = 0 as follows;

h(t) = -5t² + 20.5t  + 2

h(0) = -5(0)² + 20.5(0)  + 2

h(0) = 2 meters.

Part b.

In order to determine the time when the ball is at the maximum height, we would differentiate the height function above as follows;

h(t) = -5t² + 20.5t  + 2

h'(t) = -10t + 20.5

10t = 20.5

t = 20.5/10

Time, t = 2.05 seconds.

Part c.

For the maximum height of the ball, we have:

h(t) = -5t² + 20.5t  + 2

h(2.05) = -5(2.05)² + 20.5(2.05)  + 2

h(2.05) = 23.01 meters.

Part d.

Next, we would determine the time when the ball would land by setting the height function to zero (0) as follows;

h(t) = -5t² + 20.5t  + 2

0 = -5t² + 20.5t  + 2

\(t = \frac{-(20.5)\; \pm \;\sqrt{20.5^2 - 4(5)(-2)}}{2(5)}\)

Time, t = 4.20 seconds.

Note: The graph above isn't a correct representation of the height function h(t) = -5t² + 20.5t  + 2.

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P=A AND Z AND E is the equation, when A=1, Z=1, E=1.

The given inputs are:

A=1 indicates attending all lectures.

Z=1 indicates completing all assignments.

E=1 indicates passing all exams.

The AND gate is defined as 0 is called false and 1 is called true, the gate can be in the same way in the logical operators.

If the output is "true" when both inputs are "true.", or the output is "false." when the output is 1 only when both inputs one AND two are 1.

The logic gate of AND gate:

Input A Input B Output

True True True

True False False

False True False

False False False

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Full question:

Which equation best captures the following logic: Bob will pass the class only if doing all of the following: Bob attends all lectures, completes all assignments, and passes all exams.

Inputs: A = 1 indicates attends all lectures, Z = 1 indicates completes all assignments, E = 1 indicates passes all exams

Outputs: P = 1 indicates passes the class

Answer:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Step-by-step explanation:

Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.

Answer:

6

Step-by-step explanation:

The way you wrote it, it is already rounded.....

The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".

pi--rounded off in decreasing precision:

3.14159

3.1416

3.142

3.14

3.1

3

Watch out for a trap in rounding:

Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.

We are given a quadrilateral inscribed in a circle, therefore, the sum of opposite angles is equal to 180 degrees, therefore:

Replacing the values we get:

Solving for "x":

Therefore, the value of "x" is 80 degrees.

Answer: The image is for an idea of what you should look for

Step-by-step explanation:

Answer:

80 shots were taken by the basketball player

Step-by-step explanation:

Answer:

she made 20 shots 40% of 60 is 20

to find f(-x) we have to replace x by -x in the function f. In this case we get that

therefore we get that

The new height of the water in the tank is 85 cm.

The tank's area is 2.7m * 2m = 5.4 sq.m.

The volume of water initially in the tank is 5.4 sq.m * 0.25m = 1.35 cubic meters.

The water pumped into the tank is 1.08 liters/sec for 50 minutes, or 1.085060 = 3240 liters = 3.24 cubic meters.

The total volume of water is 1.35 + 3.24 = 4.59 cubic meters. Since the area of the tank is 5.4 sq.m, the new height of the water is 4.59 cubic meters / 5.4 sq.m = 0.85 meters or 85 cm.

Therefore, the new height of the water in the tank is 85 cm.

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Answer:

second side = s  first side = s +1  third side = s +2

39 feet = s + (s+1) + (s +2)

39 feet = 3s +3

36 feet = 3s

s = second side = 12 feet

first side = 13 feet

third side = 14 feet

Step-by-step explanation:

Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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The line or points has a slope value of -1

From the question, we have the following statement that can be used in our computation:

The slope of -3 up to positive 3

For a start, we represent the above parameters using an ordered pair

The ordered pair is represented as

(x, y) = (-3, 3)

The slope of the point is then calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 3) and (0, 0)

The coordinate (0, 0) represents the origin

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(-3 - 0)

Evaluate the difference

So, we have the following equation

Slope = (3)/(-3)

Evaluate the quotient

So, we have the following equation

Slope = -1

Hence, the slope is -1

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Answer:

A

Step-by-step explanation:

It is option A: -2, -1, 0, 1

Answer:

q = -12

Step-by-step explanation:

-9 - 11 can be written as -9 + (-11)

-20 = 2q + 4

Subtract 4 from both sides.

-24 = 2q

Divide both sides by 2

-12 = q

Hope I helped :)

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

  1.81530×10⁴

Step-by-step explanation:

Keep the first 6 digits of the mantissa:

  1.81530×10⁴

__

Here, the 7th digit is less than 5, so it and all to the right are dropped.

The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

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i think it is a i am not sure sorryy if i am wrong

Answer:

A) The price of product A is increasing by 3% per year.

(B) The product A recorded a greater percentage change in price over the previous year.

Step-by-step explanation:

(A)

The function representing the price, in dollars, of product A after x years is:

FA(x)=0.69*(1.03)x

The function  FA(x)can be written as:

FA(x)=0.69*1+(0.03)x

The function FA(x) is similar to the exponential growth function, y=a(1+r)x .

Here r is the growth rate.

Thus, it can be said that the price of product A is increasing by 3% per year.

(B)

Consider the data of product B for the year 3 and 4.

The price of product B for year 3 and 4 are 10,303.01 and 10,406.04.

Compute the percent price change from year 3 to 4 as follows:

10406.04-10303.01/10303.01*100

which is 0.999%

~1%

The price of product B is increasing by 1% per year.

Thus, the product A recorded a greater percentage change in price over the previous year.

We were given the following information:

Age = 31

Deposit (Principal) = $90

Interest = 5% compounded monthly (12 times every year)

a. At age 60, the time that would have elapsed is: 60 - 31 = 29 years

The amount you will have in the IRA is calculated using the formula below:

Therefore, at age 61, you will have $70,150.36 in your IRA

b. The interest is given as shown below:

ANSWER

EXPLANATION

We want to write the equation of the circle in vertex form:

The first step is to group the x terms and y terms together and take the constant to the right-hand side of the equality sign:

Now, complete the square for the x terms:

Repeat the process for the y terms:

That is the equation of the circle in vertex form.