Help me please ok thank you ._.

The combined weight of the motorcycle and gasoline in the gas tank when the gas tank contains 5 gallons of gas is 401.5 pounds.

Weight of one gallon of gas = 6.3 pounds

Weight of 2.6 gallons of gas = 6.3×2.6

Performing multiplication

Weight of 2.6 gallons of gas = 16.38 pounds

Total weight = weight of motorcycle + weight of 2.6 gallons of gas

386.38 = Weight of motorcycle + 16.38

Weight of motorcycle = 386.38 - 16.38

Weight of motorcycle = 370 pounds

Weight of 5 gallons of gas = 6.3 × 5

Performing multiplication

Weight of 5 gallons of gas = 31.5 pounds

Total weight = 370 + 31.5

Performing addition

Total weight = 401.5 pounds

The combined weight is 401.5 pounds.

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The general form of an equation in slope intercept form is ;

y= mx + c where m is the gradient and c is the y-intercept

The equation given is : y = -9x-81 ------this means the slope is -9

This is determined from the general equation ;

y = m x + c

y= -9 x - 81

where -9 is the gradient

Because the two lines are parallel, it means the other equation should have a slope of -9, thus apply the formula for slope give point {-2,-8}

m= change in y-coordinates value / change in x coordinate values

-9 = y --8/x--2

-9 = y+8 /x+2

-9 {x+2} = y+8

Answer:

1. The first factor is 1.267

2. 9 Places

3. i) The decimal point was moved to the left

ii) This indicates the value of the power of 10 in the second factor

4. The second factor is 10⁹

5. The population of India in scientific notation is 1.267 × 10⁹

Step-by-step explanation:

the answer is -6x and the equation is equivalent

Answer: 2

Step-by-step explanation: i used my brain

The polynomial p(x) has option (c) three real zeros because it has a relative maximum at (-2, 4), a relative minimum at (1,1), a relative maximum at (5,7), and a negative leading coefficient.

Since p(x) has a relative maximum at (-2, 4), a relative minimum at (1,1), and a relative maximum at (5,7), it means that the degree of the polynomial must be odd and at least three.

Moreover, we know that p(x) has no other critical points. This means that p(x) does not change sign between these relative extrema, which in turn implies that there are no real zeros between these extrema.

Therefore, the number of real zeros of p(x) is either one or three. To determine the answer, we need to consider the leading coefficient of p(x).

If the leading coefficient is positive, then p(x) must eventually increase on both ends, since the degree is odd. This means that there is exactly one real zero.

If the leading coefficient is negative, then p(x) must eventually decrease on both ends. In this case, since there are three relative extrema, there must be three real zeros.

Thus, we need to find the sign of the leading coefficient of p(x). This can be done by looking at the relative extrema.

Since p(x) has a relative maximum at (-2, 4), we know that the leading coefficient is negative.

Therefore, the correct option is (c) three.

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A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.

A polynomial p(x) has a relative maximum at (-2, 4), a relative minimum at (1, 1), and a relative maximum at (5, 7), with no other critical points. This means there are turning points at these coordinates. Since there are two relative maxima and one relative minimum, the polynomial must have at least 3 turning points.

A polynomial with n turning points has a degree of at least n + 1. Therefore, the polynomial p(x) must have a degree of at least 4. Since a polynomial of degree 4 can have up to 4 real zeros, the answer is d) four real zeros.

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Answer:

La mediana es el valor medio cuando un conjunto de datos se ordena de menor a mayor. La moda es el número que se presenta con más frecuencia en un conjunto de datos.

Step-by-step explanati_:espero

ayudar:)

The percentage decrease in Lora's screen time on phone is 25% this week.

Percentage related problems work around a certain reference value. This reference value is what the output percentage refers to when showing any growth or decay in the other value.

For this problem, last week's screen time is that reference value i.e. 920 minutes per week.

Now, current week's usage is 690 minutes per week. For calculating percentage decrease, we first find our the difference (in minutes).

\(Decrease=S_{1}- S_{2}=920-690=230\)

Now, for its percentage we compare this value to our reference value i.e. last week's screen time. This will tell us about the decrease in screen time with reference to last week. This is what percentage does i.e. compares two sets of data.

\(Decrease=\frac{difference}{S_{1}}*100= \frac{230}{920}*100\)

\(Decrease=25\)%

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Answer:25

Step-by-step explanation:

The probability of spinning a 1 and flipping heads is 1/10.

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment.

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively).

Given;

You spin the spinner and flip a coin.

Now, the probability of spinner

=1/5

The probability of coin

=1/2

Combined

=1/2*1/5

=1/10

Therefore, the compound probability will be 1/10.

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Answer:

I don and the answer of the answer of the answer of the questions that I was going to get it done by hdhdhrhdnsjrhr

The initial value of the given problems are \(y = 3e^{(-2x)}, y = e^{(x^{2/2)}}, y(x) = ln|e^x - 1| and y(x) = (2/3)(x^{(3/2)} + 7)^{2/3}.\)
The given differential equation is dy/dx = -2y; y = 3 when x = 0.

Here,
dy/dx = -2y
dy/y = -2dx
Integrating both sides
ln|y| = -2x + C
here C is the constant of integration.

Now to solve for C,  the initial condition y = 3 when x = 0:
ln|3| = -2(0) + C
C = ln|3|

Then, the solution to the differential equation
ln|y| = -2x + ln|3|
ln|y/3| = -2x
\(y/3 = e^{(-2x)}\)
\(y = 3e^{(-2x)}\)
The given differential equation is dy/dx = xy; y = 1 when x = 0.

Similarly the other questions can be done by the same method,
dy/y = x dx
Integrating both sides
\(ln|y| = (x^2)/2 + C\)
here C is the constant of integration.
To solve for C,  the initial condition y = 1 when x = 0:
\(ln|1| = (0^2)/2 + C\)
C = 0

The n, the solution to the differential equation
\(ln|y| = (x^2)/2\)
\(|y| = e^(x^2/2)\)
\(y = ±e^{(x^2/2)}\)
Since y(0) = 1, we have:
\(y = e^{(x^{2/2})}\)
For the next question
\(dy/dx = e^{(x+y)}\); y = 0 when x = 0
\(dy/e^{y} = e^x dx\)
Integrating both sides
\(ln|e^y| + C_1= e^x + C_2\)
here C_1 and C_2 are constants of integration.
\(y(x) = ln|C_3e^x - 1|\)
Here C_3 is a constant of integration.
Utilizing the initial condition y(0) = 0:
\(y(x) = ln|e^x - 1|\)
Now,
\(dy/dx = \sqrt{(y/x')};\) y(1) = 1
\(sqrt{(y)} dy= sqrt{(x')} dxdxdxdx\)

Integrating both sides gives:

\((2/3)y^{(3/2)} + C_4= (2/3)x^{(3/2)} + C_5\)

here C_4 and C_5 are constants of integration.
\(y(x) = (2/3)(x^{(3/2)} + C_6)^{2/3}\)
here C_6 is a constant of integration.

Utilizing the initial condition y(1) = 1
\(y(x) = (2/3)(x^{(3/2)} + 7)^{2/3}\)

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Answer:

x=0

Step-by-step explanation:

ax^2 =0

that means x^2=0

so, x = 0

Answer:

x = 0

Step-by-step explanation:

As a result, the test is significant and we can draw this conclusion that the population mean is less than 20.

A test statistic is a statistic used for testing statistical hypotheses. A test statistic, which is a tally of a data set that can be used to conduct the test and boils the data down to a single figure, is a common way to characterize a hypothesis test.

a) Here, the test statistic is calculated as:

Z= \(\frac{p'-p}{\sqrt{(p(1-p)/n} }\)

Z=\(\frac{19.4-20}{\sqrt{(20(1-20)/50} }\)

Z= -2.12

Therefore -2.12 is the required test statistic value here.

b) Given that this is a one-tailed test, the following p-value was calculated using standard normal tables: p = P(Z -2.12) = 0.0169

The necessary p-value in this case is therefore 0.0169.

c) The test is significant in this case, and the null hypothesis can be rejected because the p-value is 0.0169 0.05, which is the level of significance. This means that there is enough data to conclude that the mean is less than 20.

d) For a significance level of 0.05, we have the following data from normal standard tables:

P(Z < -1.645) = 0.05

Therefore, the following is the rejection criteria in this case: Reject H0 if Z -1.645.

We can reject the null hypothesis here and draw the same conclusion as in the previous section because the test statistic value is -2.12 -1.645. As a result, the test is significant and we can draw this conclusion that the population mean is less than 20.

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Answer:

rational

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

3 feet and 9 inches

Step-by-step explanation:

answer is already there

Answer:

45 inches = 3.75 foot

45 inches = 1.143

Step-by-step explanation:

An inch measurement It is equal to ​1⁄36 yard or ​1⁄12 of a foot

Metric (SI) units: 25.4 mm

Answer:

d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the test

Answer:

54 teachers

Step-by-step explanation:

Students ratio :17+18=35 then 630/35= 18 18x3t=54

Answer:

i guess it might be x=7

Step-by-step explanation:

Answer: 300

Step-by-step explanation:

Based on the information given in the question, the number of participants in the study will be calculated thus:

The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.

This will be:

= 8!/(8 - 3)!

= 8 × 7 × 6

= 336

Since 36 sequences were not assigned, therefore the numbers that were assigned will be:

= 336-36

= 300.

There were 300 participants.

a. For the BIP (Binary Integer Programming) model, the maximum capacity constraint for each generator:

X_ i x Generation capacity_ i ≤ Generation capacity_ i, for all generators i

b. By inputting the necessary data and running the solver, you can obtain the optimal values for the decision variables X_ i

(a) The BIP (Binary Integer Programming) model for this problem can be formulated as follows:

Let X_ i represent a binary decision variable, where X_ i = 1 if generator i is started up and used to generate electricity, and X_ i = 0 otherwise.

The objective is to minimize the total cost, which includes the start-up cost and the cost of generating electricity:

Minimize: ∑(Start-up cost_ i * X_ i) + ∑(Generation cost_i * X_i)

Subject to:

- The total generated electricity should be equal to the required amount:

∑(Generation capacity_ i x X_ i) = 6,500

- Each generator can either be started up or not started up:

X_ i ∈ {0, 1}, for all generators i

- The maximum capacity constraint for each generator:

X_ i x Generation capacity_ i ≤ Generation capacity_ i, for all generators i

(b) To solve this problem on a spreadsheet, you can set up a table where each row corresponds to a generator and each column represents a variable or constraint. The columns would include the generator's start-up cost, generation cost, generation capacity, and the decision variable X_i. The objective function would calculate the total cost based on the start-up and generation costs, and the constraints would ensure that the total generated electricity equals the required amount and the decision variables are binary.

Using a solver tool in the spreadsheet, you can set up the optimization problem with the objective function, constraints, and decision variable bounds. The solver will find the optimal solution that minimizes the total cost while satisfying the constraints.

By inputting the necessary data and running the solver, you can obtain the optimal values for the decision variables X_ i, which indicate the generators that should be started up to generate the required electricity while minimizing the total cost. The spreadsheet solution provides a practical and efficient way to solve the problem and make informed decisions based on the cost and capacity considerations of the generators.

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Answer:

The angle of PML is 68°.

Step-by-step explanation:

Given that total angles in a straight line is 180° so we can assume that ∠LMN is 180°. In order to find ∠PML, we have to subtract :

\(∠PML+∠ PMO + ∠OMN = 180\)

\(∠PML + 90 + 22 = 180\)

\(∠PML + 112 = 180\)

\(∠PML = 180 - 112\)

\(∠PML = 68\)

Answer:

Step-by-step explanation:

{(0, 2), (1, –1), (2, 3), (3, –2)}

Answer:basically, x never reats with a different y

(x,y)

A is a fn of x since x never repeats

B is a fn of x since x never repeats

C is a fn of x since x never repeats

D is not since we have (1,2) and (1,-2) so this is the answer

Step-by-step explanation:

Answer:

175 cm

7 years

Step-by-step explanation:

Here is the complete question

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard.

He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.

 1. How tall was the tree when Vlad moved into the house?

 2. How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

The formula for calculating future value:

FV = P + (r x n)

FV = Future height of the tree

P = Present height of the tree

R = growth rate

N = number of years

292 = p + (26 x 4.5)

292 = p + 117

p = 292 - 117

p = 175 cm

b. 357 = 175 + (26 x n)

375 - 175 = 26n

182 = 26n

n = 182 / 26 = 7 years

Answer:

y = 1/3x - 3

Step-by-step explanation:

First, find the slope using the formula y2 - y2 / x2 - x1

-2 (-3) / 3-0 = m

1/3 = m

Plug this into the y = mx + b, and solve for b.

(Let's use (0, -3) for values x and y)

-3 = 1/2 (0) + b

-3 = 0 + b

-3 = b

Let's plug in both m and b for the final answer.

y = mx + b

y = 1/3x + -3

y = 1/3x - 3

Based on the function given, the slope of the function can be found to be 1.25.

The slope of a function refers to the value that the dependent variable, x, changes by as a result of a unit change in the independent variable, y.

In a linear function, the slope is m as shown below:
y = mx + b

y = dependent variable

m = slope

x = independent variable

b = y- intercept

As seen above, the slope multiplies the independent variable which means that in the function, y = 5x + 3, the slope is 5.

Question is:
What is the slope of the function?

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Answer:5.7ft

Step-by-step explanation:

sin = opposite/adjacent

sin 35 = x/10

10 * sin 35 = x

x=5.7

The product is 3x * 4x^(3/2) = 12x^(5/2)

How to do the product of root?

When multiplying two terms with the same base and different exponents, you can add their exponents.

For example, √(a^m) * √(a^n) = √(a^m * a^n) = √(a^(m+n)) = a^((m+n)/2)

The product of 3√(x^2) * 4√(x^3) is equal to:

12x^(5/2)

This is because when you multiply two terms with the same base, you can add their exponents:

3√(x^2) * 4√(x^3) = (3*4)√(x^(2+3/2)) = 12x^(5/2)

This is because

√(x^2) = x^(2/2) = x

√(x^3) = x^(3/2) = x^(3/2)

so we can write 3root x^2 = 3x and 4root x^3 = 4x^(3/2)

Hence, the product is 3x * 4x^(3/2) = 12x^(5/2)

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