to go to work, paul simon walked for 2 minutes, waited for the train for 6 minutes, rode the train for 12 minutes, then walked 10 minutes. which graph matches

Answer:

12i

Step-by-step explanation:

Answer:

12i

Step-by-step explanation:

√-1 = i

Step 1: Write expression

√-144

Step 2: Factor out -1

√-1 · √144

Step 3: Simplify

i · 12

12i

Answer:

I don't know what are you saying bro

The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is  y > -2

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

f(x) = 3ˣ ⁻ ¹ - 2

The above equation is an exponential function

The rule of an exponential function is that

In this case, it is -2

So, the range is y > -2

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Answer:

D.68 is greater than 112 because 68 is greater than the benchmark 12, and 112 is less than the benchmark 12.

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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9514 1404 393

Answer:

  32°

Step-by-step explanation:

The law of cosines can be used for this:

  h^2 = f^2 +g^2 -2fg·cos(H)

  cos(H) = (f^2 +g^2 -h^2)/(2fg)

  cos(H) = (650,500/763,600)

  H = arccos(6505/7636) ≈ 31.5826°

Angle H is about 32°.

Step-by-step explanation:

The variables w, x, and z are not needed because this expression only contain one variable, y

y= 5      It says it in the problem

Start by substituting the value of y into the expression

y+5 = 5+5

Solve

5+5 = 10

Solution: y+5 = 10

I hope this helps!!!

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Missing Information

Suppose the officials conducted a survey for 4 days to determine the actual number of families residing in the barangay and the secretary constructed a tableto keep track of the data.

Day 0:

Number of families: 850

Amount of relief each family will receive: 520

Answer:

f(x) = 442000/x

Step-by-step explanation:

Given

The data in the above table

Required

Determine a model or equation

First, we need to determine the amount of relief for all families.

Using data in day 0.

Total Amount = 850 * 520

Total Amount = 442000

Next, we determine the function of equation.

Let the number of families he represented by x

The function or equation is gotten by dividing the total amount by the number of families.

Hence:

f(x) = Total Amount ÷ x

Substitute values for total amount and x

f(x) = 442000/x

Hence, the model that satisfies the given information is:

f(x) = 442000/x

Answer:

\( y - 8 = -7(x - 6) \) or \( y - 1 = -7(x - 7) \)

Step-by-step explanation:

The point-slope form equation is \( y - b = m(x - a) \), where,

(a, b) = a point on the line.

\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)

Given the two points, (6, 8) and (7, 1), find the slope of the line:

\( m = \frac{1 - 8}{7 - 6} \)

\( m = \frac{-7}{1} \)

\( m = -7 \)

There are two possible point-slope equation we can come up with using each points on the line given.

Using the point (6, 8) and m = -7,

Substitute m = -7, a = 6, and b = 8 into \( y - b = m(x - a) \)

\( y - 8 = -7(x - 6) \)

Using the point (7, 1) and m = -7,

Substitute m = -7, a = 7, and b = 1 into \( y - b = m(x - a) \)

\( y - 1 = -7(x - 7) \)

Answer:

6^0 (that is also equal to 1)

Step-by-step explanation:

We apply the power rule: a^b / a^c = a^(b-c)

In our case b = c = 6, so the result is 6^0.

Answer:

6^0

Step-by-step explanation:

Formula : -

a^m / a^n = a^( m - n )

Here,

a = 6

m = n = 8

6^8 / 6^8

= 6^( 8 - 8 )

= 6^0

\(1.0\bar {92}\) represents the number 1.0929292929..., where the digits 92 repeat infinitely.

Any numbers may be expressed by using a small number of distinct digits, which is known as notation. Positional notation, also known as place-value notation, is the notation that is now used to represent numbers, as opposed to certain ancient notations like Roman numerals.

To write 1.0929292... using bar notation, we identify the repeating portion of the decimal, which is the sequence of digits 92.

We can then write the number using a bar over the repeating digits as follows:

\(1.0\bar {92}\)

The bar over the digits indicates that they repeat infinitely.

Therefore, \(1.0\bar {92}\) represents the number 1.0929292929..., where the digits 92 repeat infinitely.

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The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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(0, 2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment is given by

[(x2 + x1)/2 , (y2 + y1)/2]

Let P1 = (3, -2) and P2 = (-3, 6)

x-coordinate:

(1/2)(x2 + x1) = (1/2)[(-3) + 3] = 0

y-coordinate:

(1/2)(y2 + y1) = (1/2)[6 + (-2)] = 2

Therefore, the coordinates of the midpoint whose endpoints are (3, -2) and (-3, 6) are

(0, 2)

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

We have,

Let's denote the speed of the freight train as x mph.

Since the speed of the passenger train is 8 mph faster, we can denote the speed of the passenger train as (x + 8) mph.

To find the speeds of each train, we can use the formula:

Speed = Distance / Time

For the passenger train: (x + 8) = 280 / t, where t is the time taken to travel 280 miles.

For the freight train: x = 240 / t, where t is the time taken to travel 240 miles.

Since the times taken for both trains are the same, we can set the two equations equal to each other:

(x + 8) = 280 / t = x = 240 / t

Cross-multiplying the equation, we have:

(x + 8) t = x (280 / t)

xt + 8t = 280

xt - x = 240

Simplifying the equation, we get:

xt - x = 240

x(t - 1) = 240

Dividing both sides by (t - 1):

x = 240 / (t - 1)

Substituting the value of x in the first equation:

(x + 8) = 280 / t

240 / (t - 1) + 8 = 280 / t

Simplifying the equation, we get:

240t + 8(t - 1) = 280(t - 1)

240t + 8t - 8 = 280t - 280

248t - 8 = 280t - 280

280 - 8 = 280t - 248t

272 = 32t

t = 272 / 32 = 8.5

Substituting the value of t in the equation for x:

x = 240 / (t - 1) = 240 / (8.5 - 1) = 30

Therefore,

The speed of the freight train is 30 mph, and the speed of the passenger train is 30 + 8 = 38 mph.

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Answer:

You have selected correct answers

The rate is 9.7 feet per second

Step-by-step explanation:

\(\frac{9.7}{1}=\frac{38.8}{4} = 9.7\)

The correct answer is 5460 cubic feet or 5460 \(ft^{3}\)

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula \(Volume =\pi r^{2} h\). In this formula the symbol \(\pi\) refers to the number 3.1415..., the letter \(r\) refers to the radius of the base and the letter \(h\) refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula \(Area = \pi r^{2}\), which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:

\(Volume = \pi r^{2} h\)  or  \(Volume = Ah\)   (Area of the base × height)

\(V = 260 square feet\) × \(21 feet\)

\(V = 5460 cubic feet\)

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

The gradient of the graph below is \(\mathbf{\frac{3}{2} }\)

Step-by-step explanation:

We need to calculate the gradient of the graph

The gradient of graph is actually slope of the graph.

The slope of graph can be calculated using formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

Taking any 2 points on graph i.e

(1,0) and (-1,-3)

We have \(x_1=1, y_1=0, x_2=-1,y_2=-3\)

Putting values and finding gradient:

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}\)

So, The gradient of the graph below is \(\mathbf{\frac{3}{2} }\)

Answer:

C. Graph C

Step-by-step explanation:

In a scatter plot, a positive correlation coefficient suggests that as one variable increases the other increases as well, or as one decreases, the other decreases.

Also, the more clustered the data points are along the line of best fit, the higher the value of the coefficient, whether positive or negative.

Graph C shows a positive correlation because as the variable on the x-axis increases, the variable on the y-axis also increases. The data points are more clustered along the line if best fit, if we draw one. This suggest a positive correlation coefficient (r) as strong as 0.75.

Graph C has a correlation coefficient, r, that is closer to 0.75.

Answer: graph A ‼️

Step-by-step explanation:

Digoxin has a half-life of 35 hours, so it takes 70 hours for the toxic plasma concentration to decline to a therapeutic plasma concentration of 2ng/ML.

Digoxin has a half-life of 35 hours, which means it takes 35 hours for the quantity of digoxin in the body to be decreased by half. The dangerous plasma concentration of 8ng/ML must be decreased to a therapeutic plasma concentration of 2ng/ML in this circumstance.

To calculate how long this will take, we need to use the formula:

Time = (Toxic Concentration - Therapeutic Concentration) / (0.5 x Half-Life)

Time = (8ng/ML - 2ng/ML) / (0.5 x 35hrs)

Time = 6ng/ML / (17.5hrs)

Time = 0.342hrs

Time = 70hrs

As a result, the dangerous plasma concentration of 8ng/ML will take 70 hours to decrease to a therapeutic plasma concentration of 2ng/ML.

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It should be noted that 49.87% of the values fall between 19 and 34 in the original normal distribution.

For the lower bound of 19, the z-score is:

z = (19 - 19) / 5 = 0

For the upper bound of 34, the z-score is:

z = (34 - 19) / 5 = 3

Looking up the area under the curve for a z-score of 3 in a standard normal distribution table, we find it to be 0.9987. Looking up the area under the curve for a z-score of 0, we find it to be 0.5. Therefore, the area under the curve between z-scores of 0 and 3 is:

0.9987 - 0.5 = 0.4987 = 49.87%

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

A factor is a number to multiply.

A product is the answer to a multiplction problem.

Aquotient is the answer to a divison problem.

A sum is the answer to a addition problem.

Step-by-step explanation:

I do not know if thats what you extaly wanted but thats what they all mean. I do not know because your question is inexplicable and doesnt reall have a question to it.

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

Everybody say sausage keep it going

Eggs, bacon, grits

SAUSAGE!!

Imma skinny _____ but I still take

SAUSAGE!!

I gotta fat ___ but I still take

SAUSAGE!!

I gotta flat ___ but I still take

SAUSAGE!!

Wake up in the morning gotta eat that

SAUSAGE!!

Imma red head but I still take

SAUSAGE!!

Imma ___ _____ but I still take

SAUSAGE!!

White girl, swag girl take your mans

SAUSAGE!!

UH-HUH-HUH-HUH-HUH

SAUSAGE!!

Im white and I'm thick but you know I eat

SAUSAGE!!

Yeah, I read books but they all about

SAUSAGE!!

SAUCE

SAUCE

SAUCE

SAUCE

SAUCE

SAUCE

SAUCE

SAUSAGE!!!!

Step-by-step explanation:

Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

y = 4; x = 11/4

Step-by-step explanation:

4x - 5y = -9

-4x + y = -7

Add the two equations to eliminate x:

-4y = -16

-4y/-4 = -16/-4

y = 4

Plug in y for x

4x - 5y = -9

4x - 5(4) = -9

4x - 20 = -9

4x = -9 + 20

4x = 11

4x/4 = 11/4

x = 11/4

Answer from Gauthmath

Bob had 50 pencils in the beginning.

A fractional number is expressed in the form -

x/y    {where y ≠ 0)

Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.

Assume that he had {x} pencils in the beginning. We can write -

4x/5 + 2/3(x - 4x/5) = 10

4x/5 + 2x/3 - 8x/15 = 10

x(4/5 + 2/3 - 8/15) = 10

x = 10/0.93

x = 50

Therefore, Bob had 50 pencils in the beginning.

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{QUESTION IN ENGLISH -

Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}

Answer:

18.5 days

Step-by-step explanation:

Count by two's on your fingers until you have nine fingers up, and that equals 9 x 2 = 18, plus that .5 eqauls 18.5 days.

The dog has been dieting for 19 weeks.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given problem,

Starting weight of the dog = 89.5 pounds

Halfway weight of the dog = 80 pounds

Weight the dog loses per week = 0.5 pounds

Weight loss = (89.5 - 80) pounds

                    = 9.5 pounds

If the dog loses 0.5 pounds in 1 week,

Then the dog will lose 9.5 pounds in (9.5 × 2) weeks

⇒ The dog will lose 9.5 pounds in 19 weeks.

Hence, we can conclude that the dog has week dieting for 19 weeks and lost 9.5 pounds.

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