12+(4×6)-10 steps on how to solve the problem​

The correct function that describes the student's distance from the finish line after x minutes is f(x) = -1/4x + 10.

The correct function that describes the student's distance from the finish line after x minutes can be determined by analyzing the given information. We know that the student runs 1 kilometer every 4 minutes, and the race is a total of 10 kilometers.

Let's examine the options:

1. f(x) = 1/4x + 10

This function represents the distance covered by the student in x minutes, but it does not account for the fact that the total race distance is 10 kilometers.

2. f(x) = -1/10x + 4

This function has a negative coefficient for x, which would indicate that the student is getting farther away from the finish line as time progresses, which is not the case.

3. f(x) = 1/10 + 4

This function is a constant and does not change with time, so it cannot describe the student's distance from the finish line.

4. f(x) = -1/4x + 10

This function correctly represents the student's distance from the finish line. The negative coefficient for x indicates that the distance decreases as time progresses, and the constant term of 10 represents the initial distance from the finish line, which is 10 kilometers.

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The side that is opposite the 95-degree angle should be the longest, followed by the 53-degree angle and finally the 32-degree angle, which will be the shortest. The answer is (b).

How do you tell which angle is larger: The largest angle is located across from the longest side, just like with the sides. Theorem: If and only if angle A (= angle CAB) is greater than angle B (= angle ABC), then side BC of a triangle ABC will be longer than side CA. To put it another way, larger sides are in opposition to larger angles.

If you have an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin(). To find the length of the side next to the angle, you can also divide the length by tan(). Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Hint: There are two fundamental units used to measure angles from one of the two fundamental units, radians () or degrees ().

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Correct Question:

Answer:

Just right

Step-by-step explanation:

BRAIN PLS

Answer:

$244.81

Step-by-step explanation:

A (total amount) = P(principal) · (1 + r/n)^nt

r = interest rate

n = # times per year interest is compounded

t = term of investment

2500 = P[1 + (.021/10)]^10·1

2500 = 1.021199565 · P

P = 244.81

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

An equivalent expression to p - 0.20p is 0.8p Hope this helps :)

Answer:

Step-by-step explanation:

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

\((x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\\)

The slope of the equation is given by

\(m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\\)

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

\(m_2 = - \frac{1}{m_1}\)

So the slope of the other line is

\(m_2 = \frac{1 }{3} \\\\\)

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

\((x_1, y_1) = (6, 4)\)

The point-slope form is given by,

\(y - y_1 = m(x -x_1)\)

Substitute the value of slope and the coordinates of point C

\(y - 4 = \frac{1 }{3} (x - 6)\\\\\)

To get the y-intercept, substitute x = 0  

\(y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\\)

So, the point is

\((x, y) = (0, 2)\)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Answer:

C (0, 2)

Step-by-step explanation:

Lindsey and Justin must survey a random selection of two girls and two boys for each 7th grade class to get the most accurate results, so the correct choice is B.

This is so because, since precise information is required regarding a particular group of students (7th graders), it would be correct to target members of that group to obtain the first samples of information.

That is, by going to the most reliable source, a more reliable sample would be obtained.

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Answer:

s ÷ 4 = 15

Step-by-step explanation:

To solve for the total number of board games, we can use this equation:

Inserting our numbers into the equation:

If we insert 60 into the equation for s. (s ÷ 4 = 15)

We can see that this equation best represents the problem.

Answer:

1.27 radians

Step-by-step explanation:

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

Three solutions were found :

x = 3/2 = 1.500

x = 2

x = -1

Step-by-step explanation:

Answer:

d po

Step-by-step explanation:

i hope its help

carry on learning

Answer:

I am sorry I am stuck on this one too I need help on this has well

Step-by-step explanation:

Answer:

Simplify the expression.

5x2+4x−4

Step-by-step explanation:

since there are five digit after1 so the power is 5 and the is the number 2 which is multiplied to each and after that the number 0is there which makes 4 number left and so on until the power is zero

Answer:

\(to \: know \: the \: answer \: \)

\(refer \: to \: the \: above \: attatchment\)

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

$3.93

Step-by-step explanation:

6.55 / 5 = 1.31 each

1.31 x 3 = 3.93

Answer:

9 brownies

Step-by-step explanation:

Since we are not given the total number of batches. Let us assume the total batches is 81

If each brownie is 1/9 of a batch, number of brownie made will be equivalent to:

Amount of brownie made = 1/9 × 81

Amount of brownie made = 81/9 = 9 brownies

Hence he made 9 brownies

Answer: 700

Step-by-step explanation:

35 x 20 = 700

Answer:

350

Step-by-step explanation:

b

The equation relating x and y is: y = 72/x^3

when y = 27, x ≈ 1.69.

A) Since y varies inversely with x^3, we can write the equation as:

y = k/x^3

where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

9 = k/2^3

Solving for k, we get:

k = 9 * 8 = 72

Therefore, the equation relating x and y is:

y = 72/x^3

B) To find x when y = 27, we can substitute these values into the equation we found in part A:

27 = 72/x^3

Solving for x, we get:

x^3 = 72/27 = 8/3

x = (8/3)^(1/3)

x ≈ 1.69

Therefore, when y = 27, x ≈ 1.69.

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To find the parametric equations for the path of a particle moving along a circle with 0 ≤ t ≤ π, we'll start by considering the equation of a circle with radius r centered at (h, k):
(x-h)² + (y-k)² = r²
Now, to create parametric equations, we'll express x and y in terms of a parameter, t. In this case, t represents the angle (in radians) that the particle has traveled along the circle.
We can use the trigonometric functions sine and cosine to do this. For a circle with radius r centered at (h, k), the parametric equations will be:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)
Since we're given a range for t (0 ≤ t ≤ π), this means that the particle moves along a semicircle, starting at the initial point (h+r, k) when t=0 and ending at the point (h-r, k) when t=π.
To summarize, the parametric equations for a particle moving along a circle with radius r and center (h, k) for 0 ≤ t ≤ π are:
\(x(t) = h + r*cos(t)\)
\(y(t) = k + r*sin(t)\)

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Answer:

a

Step-by-step explanation:

The sum of Peter, Richard, and John's ages is 191.

We know that the ratio of Peter's age to Richard's age is = 5/8 --(i)

The ratio of John's age to Peter's age is = 7/12 --(ii)

Similarly, the ratio of John's age to Richard's age is = (5*7)/(8*12)= 35/96 -(iii)

Using the value of (i),(ii),(iii), we get -

Age of Peter = (5*12)/(8*12) = 60/96

= 60 years of age

Age of John = (7*5)/(12*5) = 35/60

=35 years of age

From the value of (iii), since no one is over 100 years of age, the age of Richard= 96 years of age

Hence the sum of their ages is = 96+35+60

= 191

Therefore, we know that the sum of their ages is 191.

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Perimeter = Sum of the sides measures

Perimeter = | AB | + | AT | + | BT |

Perimeter = ( x + 3 ) + ( 4x ) + ( 2x + 2 )

40 = x + 4x + 2x + 3 + 2

Colect like terms

40 = ( 1 + 4 + 2 )x + ( 3 + 2 )

40 = 7x + 5

Subtract both sides - 5

40 - 5 = 7x + 5 - 5

35 = 7x

Switch sides

7x = 35

Divide both sides by 7

7x ÷ 7 = 35 ÷ 7

x = 5

_____________________________

AB = x + 3 = 5 + 3 ======》 AB = 8

AT = 4x = 4 × 5 =========》 AT = 20

BT = 2x + 2 = 2(5) + 2 ===》 BT = 12

According to the law of inequality in a triangle, the sum of any two random sides must be greater than the size of the other side which means :

AB + AT > BT

&

AB + BT > AT

&

AT + BT > AB

If the sides is true in the above inequalities, then those sides are able to form a triangle ;

But if even one of the above inequalities is violated, those sides will not be able to form a triangle.

8 + 20 > 12 ( Check )

8 + 12 > 20 ( Nope this inequlity violated )

Thus the measures of the sides can not represent the measures of the sides of a triangle .

And we're done ...

Check the picture below, that one shows the imperial units, however is pretty much the same curve for a metric one, namely using metres, so the maximum point is at the vertex y-coordinate.

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-4.9}t^2\stackrel{\stackrel{b}{\downarrow }}{+229}t\stackrel{\stackrel{c}{\downarrow }}{+234} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)\)

\(\left(-\cfrac{ 229}{2(-4.9)}~~~~ ,~~~~ 234-\cfrac{ (229)^2}{4(-4.9)}\right) \implies \left( - \cfrac{ 229 }{ -9.8 }~~,~~234 - \cfrac{ 52441 }{ -19.6 } \right) \\\\\\ \left(\cfrac{1145}{49}~~,~~ 234+\cfrac{262205}{98} \right)\qquad \approx\qquad (\stackrel{seconds}{23.37}~~,~~\underset{\bigtriangleup}{\stackrel{meters}{2909.56}})\)

The sum of s, h, and e in base 5 can be 133, 134, 142, 144, 152, or 153.

In mathematics, a combination refers to the selection of items from a larger set without regard to the order of the selected items. Combinations are used to count the number of ways you can choose a subset of items from a larger set.

Combinations have various applications in mathematics, probability theory, and statistics. They are used to solve problems related to counting, probability, permutations, and more. Combinations are particularly useful when order doesn't matter, and the focus is on selecting a subset of items from a larger set.

Selection without Order: Combinations are concerned with selecting items from a set without considering the order in which the items are chosen. For example, if you have a set of three elements {A, B, C}, selecting {A, B} and {B, A} would be considered the same combination because the order of selection doesn't matter.

Based on the given information that s, h, and e are distinct non-zero digits less than 5, we can conclude that they can take the values of 1, 2, 3, or 4. Since the digits must be distinct, we can examine the equation and find the sum of the three values.

The equation is not explicitly provided, but we can infer it based on the information given. Assuming the equation is in the form of she, where s, h, and e are the digits, we can find the sum of the three values.

she = (s times 5²) + (h times 5¹) + (e times 5⁰)

Since we are expressing the answer in base 5, the sum of the three values should be in base 5 as well.

The sum can be calculated as follows:

(s times 5²) + (h times 5¹) + (e times 5⁰) = (s times 25) + (h times 5) + (e times 1) = 25s + 5h + e

To find the sum, we need to substitute the possible values of s, h, and e and calculate the result for each combination.

Possible combinations of s, h, and e (using values 1, 2, 3, or 4):

(s, h, e) = (1, 2, 3): The sum is 25(1) + 5(2) + 3 = 25 + 10 + 3 = 38 in base 10, which is 133 in base 5.

(s, h, e) = (1, 2, 4): The sum is 25(1) + 5(2) + 4 = 25 + 10 + 4 = 39 in base 10, which is 134 in base 5.

(s, h, e) = (1, 3, 2): The sum is 25(1) + 5(3) + 2 = 25 + 15 + 2 = 42 in base 10, which is 142 in base 5.

(s, h, e) = (1, 3, 4): The sum is 25(1) + 5(3) + 4 = 25 + 15 + 4 = 44 in base 10, which is 144 in base 5.

(s, h, e) = (1, 4, 2): The sum is 25(1) + 5(4) + 2 = 25 + 20 + 2 = 47 in base 10, which is 152 in base 5.

(s, h, e) = (1, 4, 3): The sum is 25(1) + 5(4) + 3 = 25 + 20 + 3 = 48 in base 10, which is 153 in base 5.

By calculating the sum for each combination, we find that the sum of s, h, and e in base 5 can be 133, 134, 142, 144, 152, or 153.

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