The graph Represents distance traveled vary directly with time what would be the distance traveled after 15 hours

The addition of the 7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2 is 5.

A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which means "to break," is the source of the English term "fraction."

The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.

Given:

7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2

Rearrange the number as shown below,

7 / 4 + 1 / 4 + 1 / 2 + 1 / 2 + 5 / 3 + 1 / 3

Add the like terms as shown below,

(7 + 1) / 4 + (1 + 1) / 2 + (5 + 1) / 3

8 / 4 + 2 / 2 + 6 / 3

Divide the terms as shown below,

2 + 1 + 2

5

Thus, the addition is 5.

To know more about fractions:

https://brainly.com/question/61672

#SPJ1

Answer:

60

Step-by-step explanation:

let a = 22 / kg, and b = 12 / kg

a + b = 20 kg

22a + 12b = 15 * 20

12a + 12b = 240

10a = 60

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

For more such questions on carbohydrate, click on:

https://brainly.com/question/29917711

#SPJ8

The equations of the three altitudes of triangle ABC include the following:

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Also, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Assuming the following parameters for triangle ABC:

For the equation of altitude AM, we have:

Slope of BC = (2 - 8)/(4 - 0)

Slope of BC = -6/4

Slope of BC = -3/2

Slope of AM = -1/slope of BC

Slope of AM = -1/(-3/2)

Slope of AM = 2/3.

The equation of altitude AM is given by:

y - y₁ = m(x - x₁)

y - 0 = 2/3(x - (-2))

3y = 2(x + 2)

3y = 2x + 4

3y - 2y - 4 = 0.

For the equation of altitude BN, we have:

Slope of CA = (2 - 0)/(4 - (-2))

Slope of CA = 2/6

Slope of CA = 1/3

Slope of BN = -1/slope of CA

Slope of BN = -1/(1/3)

Slope of BN = -3.

The equation of altitude BN is given by:

y - y₁ = m(x - x₁)

y - 8 = -3(x - 0)

y - 8 = -3x

y + 3x - 8 = 0.

For the equation of altitude CL, we have:

Slope of AB = (8 - 0)/(0 - (-2))

Slope of AB = 8/2

Slope of AB = 4

Slope of CL = -1/slope of AB

Slope of CL = -1/4

The equation of altitude CL is given by:

y - y₁ = m(x - x₁)

y - 2 = -1/4(x - 4)

4y - 2= -(x - 4)

4y - 2= -x + 4

4y + x - 2 - 4 = 0.

4y + x - 6 = 0.

In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:

Read more on point-slope form here: brainly.com/question/24907633

#SPJ1

Question 1

Interest in 1 year at 2% per annum = 2/100 x $181 = $3.62

Total Interst after 8 years = 8 x $3.62 = $28.96

Total amount she has after 8 years = initial amount + Total Interst after 8 years

=$181 + $28.96 = $209.96 (2 decimal places)

Question 2

rate per annum, r = 5%

Time = 9years

Total amount = $103,897

Let the initial amount invested be p

interst after 1 year = 5% of p =$5p/100

Total interest after 9 years = 9 x 5p/100 = $45p/100

Total amount = p + 45p/100

That is,

103,897= p + 45p/100

Answer:

Your answer is that X=1

Answer:

The answer is 1.

Step-by-step explanation:

12x-15-4x+1 = -6

8x = 8

Therefore x = 1

Answer:

D

Step-by-step explanation:

Answer:

Its option D. 9

mark me as brainlist

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

Use the Quadratic Formula.

-x² - 4x + 16 = 0

x = [4±√(4²-4(-1)(16)]/[2(-1)] = [4±√80]/(-2) = [4±4√5]/(-2) = -2±2√5

9514 1404 393

Answer:

  240 ft by 480 ft

Step-by-step explanation:

Area is maximized when the long side is half the total length of the fence. That makes the short side (out from the river) be half the length of the long side.

The fenced field dimensions are 240 feet by 480 feet.

__

You can let x represent the length of the long side. Then the length of the short side is half the remaining fence: (960 -x)/2.

The total area is the product of these dimensions:

  A = x(960 -x)/2

We note that this is the equation of a parabola with zeros at x=0 and x=960. The maximum will be found on the line of symmetry, halfway between the zeros. That is at x = (0 +960)/2 = 480.

The area is maximized for a long-side dimension of 480 feet. The short sides are 240 feet.

17.29162

\(\sqrt{18^2-5^2}\)

__________________________________________

\(17.29162\)

I hope this helps you

:)

Answer:

each ticket is $8.75

Step-by-step explanation:

c=8$8.75

The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.

Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon

50.50 = 6C - $2

Combine similar terms

$50.50 - $2 = 6C

$48.50 = 6C

Divide both sides of the equawtion by 6

C = $48.50 / 6

To learn more about division, please check: https://brainly.com/question/194007

#SPJ2

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

Step-by-step explanation:

1/4 in percentage

= 1/4 * 100%

= 25%

Answer:

4/4=100%

1/4=100÷4

   = 25%

Answer:

The probability of getting a cookie with no more than 3 chips is 0.0424.

Step-by-step explanation:

Let X number of chocolate chips apiece of cookie.

The mean number of chocolate chips apiece is λ = 8.

The random variable X follows a Poisson distribution with parameter λ = 8.

Compute the probability of getting a cookie with no more than 3 chips as follows:

\(P(X\leq 3)=\sum\limits^{3}_{x=0}{\frac{e^{-8}(8)^{x}}{x!}}\)

                \(=0.00034+0.00268+0.01073+0.02863\\=0.04238\\\approx 0.0424\)

Thus, the probability of getting a cookie with no more than 3 chips is 0.0424.

Answer:

what is the opinions for the question

Answer:

the answer is 45

Step-by-step explanation:

the answer is 384

Step-by-step explanation:

a1 = 2, a2 = 3, a3 = 4,

an = ?

n = 44

d = a2 - a1 = 3 - 2 = 1

d = a3 - a2 = 4 - 3 = 1

Here, the common difference is the same everywhere

So,

\( a_{n} = a + (n - 1) \times d\)

\(a_{44} = 2 + (44 - 1) \times 1\)

\(a_{44} = 2 + 43\)

\(a_{44} = 45\)

(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

Learn more about probability here: https://brainly.com/question/24756209

#SPJ1

\(F(x)=4cos(x)-6sin(x)+4x+8\)

1. Write the expression.

\(f'(x)=-4sin(x)-6cos(x)+4\)

2. Write the expression for the integral.

\(\int\((-4sin(x)-6cos(x)+4) \, dx\)

3. Separate into multiple integrals.

\(\int\((-4sin(x)) \, dx+\int\((-6cos(x)) \, dx+\int\((4) \, dx\)

4. Solve each integral.

• Check the attached image for a better understanding of these results.

\(\int\((-4sin(x)) \, dx=\\ \\-4\int\((sin(x)) \, dx=\\ \\-4(-cos(x))+C=\\ \\4cos(x)+C\)

---------------------------------------------------------------------------------------------------------

\(\int\((-6cos(x)) \, dx=\\ \\-6\int\((cos(x)) \, dx=\\\\-6(sin(x))+C=\\ \\-6sin(x)+C\)

---------------------------------------------------------------------------------------------------------

\(\int\((4) \, dx=\\ \\4x+C\)

5. Sum up all the integrals.

\((4cos(x))+(-6sin(x))+(4x)+C\\ \\4cos(x)-6sin(x)+4x+C\)

6. Write in standard form (solved for y).

\(y=4cos(x)-6sin(x)+4x+C\)

7. Substitute the given values and solve for C.

\(12=4cos(0)-6sin(0)+4(0)+C\\ \\4cos(0)-6sin(0)+4(0)+C=12\\ \\C=12-4cos(0)+6sin(0)-4(0)\\ \\C=12-4(1)+6(0)-4(0)\\ \\C=12-4\\ \\C=8\)

8. Express your result.

\(F(x)=4cos(x)-6sin(x)+4x+8\)

---------------------------------------------------------------------------------------------------------

How to verify the result?

If the result is correct, then F(0)=12. Let's test it!

\(F(0)=4cos(0)-6sin(0)+4(0)+8=12\). Hence, the answer is correct.

---------------------------------------------------------------------------------------------------------

The graph.

I want to share the graph of this function, it looks pretty interesting. Check it out in attached image 2.

Answer:

\(\text{f}(x)=4\cos(x)-6\sin(x)+4x+8\)

Step-by-step explanation:

Given:

Fundamental Theorem of Calculus

\(\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))\)

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

To find the function f(x), integrate f'(x) and use f(0) = 12 to find the value of the constant.

\(\begin{aligned}\displaystyle \int (-4 \sin(x)-6 \cos (x)+4)\:\:\text{d}x & = \int -4 \sin(x)\:\:\text{d}x -\int 6 \cos(x)\:\:\text{d}x+\int 4\:\:\text{d}x \\\\& =-4 \int \sin(x)\:\:\text{d}x -6\int \cos(x)\:\:\text{d}x +\int 4\:\:\text{d}x\\\\& = -4 \cdot -\cos(x)-6 \cdot \sin(x)+4x+\text{C}\\\\& = 4\cos(x)-6\sin(x)+4x+\text{C}\end{aligned}\)

To find the value of C, substitute x = 0 into the function and set it to 12:

\(\begin{aligned}\text{f}(0) & =12\\\implies 4 \cos(0)-6\sin(0)+4(0)+\text{C} & =12\\4-0+0+\text{C} & =12\\4+\text{C} & = 12\\\text{C} & =8\end{aligned}\)

Finally, substitute the found value of C into the equation:

\(\text{f}(x)=4\cos(x)-6\sin(x)+4x+8\)

Rules of Integration

\(\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int ax^n\:\text{d}x=a \int x^n \:\text{d}x$\end{minipage}}\)

If the terms are multiplied by constants, take them outside the integral.

\(\boxed{\begin{minipage}{5 cm}\underline{Integrating a constant}\\\\$\displaystyle \int n\:\text{d}x=nx+\text{C}$\\(where $n$ is any constant value)\end{minipage}}\)

Just add an x to the constant.

\(\boxed{\begin{minipage}{6 cm}\underline{Integrating Trigonometric functions}\\\\$\displaystyle \int \sin(x)\:\text{d}x=- \cos (x)+\text{C}\\\\ \int \cos (x)\:\text{d}x=\sin(x)+\text{C}$\\\end{minipage}}\)

Learn more about integration here:

https://brainly.com/question/27805589

https://brainly.com/question/28155016

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.

For more questions on graph:

https://brainly.com/question/19040584

#SPJ8

Answer:

-410/7

Step-by-step explanation:

Answer: x=135

Step-by-step explanation:   Solve  :    -x+135 = 0  

Subtract  135  from both sides of the equation :  

                     -x = -135

Multiply both sides of the equation by (-1) :  x = 135

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

               x+52-(2*(x+3)-13-1-2-73)=0

(x+52)-((((2•(x+3)-13)-1)-2)-73)  = 0

135 - x  = 0

x=135

The solution of the equation x + 52 = 2(x + 3) − 13 − 1 − 2 − 73 will be 135.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The equation is given below.

x + 52 = 2(x + 3) − 13 − 1 − 2 − 73

Simplify the equation, then the solution of the equation will be

x + 52 = 2(x + 3) − 13 − 1 − 2 − 73

x + 52 = 2x + 6 − 89

2x − x = 52 + 89 − 6

x = 135

The solution of the equation x + 52 = 2(x + 3) − 13 − 1 − 2 − 73 will be 135.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ6

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

To learn more on Ferris wheels: https://brainly.com/question/16396069

#SPJ1

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

Read more about transformation at

brainly.com/question/27224272

#SPJ1

According to the line plot, the statement that best describes the spread and distribution of the data is "The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.". (option c).

The horizontal number line starts at 0 and increases by units of two up to 30. The dots above the numbers represent the number of schools that offer a certain number of activities. For instance, there is one dot above 4, 6, 14, and 28, which means that only one school offers four activities, one school offers six activities, one school offers 14 activities, and one school offers 28 activities.

Based on this line plot, we can conclude that the data is not symmetric because there is not an equal number of dots on either side of the plot. Therefore, we can rule out the first and fourth options.

We can observe that there are more dots on the left-hand side of the plot, indicating that there are more schools that offer fewer activities. Additionally, the most frequent number of activities is 16, which means that about half of the schools offer this number of activities.

Furthermore, we can estimate the range of the data to be approximately 24, as the number line goes up to 30, and the highest number of activities offered by any school is 28.

Hence the correct option is (c).

To know more about line plot here

https://brainly.com/question/29573088

#SPJ1

Answer:

O M G it is adorbs! Eeee. That made my daiii

Step-by-step explanation:

After prorating the given expenses, Keiko's monthly cost is $620.

Proration involves the action of dividing, distributing, or assessing a value proportionately.

For example, a monthly cost can be prorated to a yearly cost by multiplying the cost by 12.

Similarly, an annual cost can be prorated to a monthly cost by dividing it by 12.

Proration involves the proportionate assignment of numerical values in relation to others.

Food = $320 ($320/1)

Health Insurance Premium = $250 ($1,500/6)

Car insurance = $50 ($600/12)

Total monthly costs = $620

Thus, after prorating Keiko's expenses, (the health insurance premium from semiannual to monthly, and the car insurance from annual to monthly) we find that his monthly cost amounts to $620.

Learn more about prorating costs at https://brainly.com/question/16028802

#SPJ1

Prorate the given expenses to find the monthly cost.

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.