can someone help me with the word problem not #14 just word problem and solve please i’m taking a test ):

Angie can jog at a speed of x miles per hour, and Payton can jog at a speed of (x - 2) miles per hour.

Let's assume that Angie's jogging speed is x miles per hour. Since Angie can jog x miles per hour faster than Payton, Payton's jogging speed would be (x - 2) miles per hour.

When two people start at the same point and jog in opposite directions, the distance between them increases at a combined rate of their individual speeds. So, after t hours, the distance between Angie and Payton would be given by the equation:

Distance = Angie's speed * t + Payton's speed * t

Given that the distance between them after t hours is 9 miles, we can substitute the values into the equation:

9 = x * t + (x - 2) * t

Simplifying the equation:

9 = xt + xt - 2t

Combining like terms:

9 = 2xt - 2t

2xt - 2t = 9

Factoring out the common term of 2t:

2t(x - 1) = 9

Dividing both sides by 2(x - 1):

\(t = \frac{9}{(2(x - 1))}\)

Therefore, the speed at which Angie can jog is x miles per hour, and the speed at which Payton can jog is (x - 2) miles per hour.

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Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

The winner of the race finished the race in eleven twenty-fourths(11/24) minutes which is option B

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Kyla finished her race in 1 3/8 minutes.

converting this to improper fraction, we have 11/8 minutes

The winner of the race finished in 1/3 of Kyla's time which is 1/3 x 11/8

= 11/24 minute

The winner of the race finished in 11/24 minute.

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Answer:

The 9th term is 17179869184

Step-by-step explanation:

Here we have that;

The divisors of 1 = 1 which is 1 less than 1*2

The sum of the divisors of 2 = 1 + 2  = 3 which is 1 less than 2*2

The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2

The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2

The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2

The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than

The next numbers are therefore,

32 × 256 = 8192

256 × 8192 = 2097152 and the 9th term is therefore;

8192 × 2097152 = 17179869184.

Therefore, the solution to the system of equation is (x, y) = (-5, 9).

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side and the right-hand side, separated by an equals sign (=). An equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To solve the system using linear combination, we want to eliminate one of the variables by adding the two equations together.

{3x + 4y = 21

{5x + 4y = 11

Notice that if we subtract the first equation from the second, we get:

(5x + 4y) - (3x + 4y) = 11 - 21

2x = -10

x = -5

Now we can substitute x = -5 into either of the original equations and solve for y:

3x + 4y = 21

3(-5) + 4y = 21

-15 + 4y = 21

4y = 36

y = 9

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Camden used 22.86 in of fabric for each player.

Division is breaking a number up into an equal number of parts.

Given that, Camden uses 632.25 inches of fabric on headbands for 41 players and 4 coaches. He also uses 361.21 inches of fabric on wristbands for just the players.

4 coaches + 41 players = 45 persons

Fabric used for headband for one person = 632.25 / 45 = 14.05 in

Fabric for 41 players = 14.05 × 41 = 576.05 in

Fabric for wristband = 361.25

Total fabric used on players = 361.25+576.05 in = 937.26 in

For each of them = 937.26 in / 41 = 22.86 in

Hence, Camden used 22.86 in of fabric for each player.

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Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

sin(55°)= 2.5/MN,

x = 2.5/sin(55°) ≈3.052

The number of seniors that are in the school is 240.

The first step is to determine the number of seniors that prefer gym equipment.

Let:

number of students that prefer gym equipment = x

total number of seniors = number of students that prefer gym equipment + number of seniors that prefer computer

= 160 + x

probability that a senior prefers gym equipment = 1/3

[x / (160 + x)] = 1/3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3.

3x = 160 + x

Combine and add similar terms:

3x - x = 160

2x = 160

x = 160 / 2

x = 80

Total number of seniors = 160 + 80 = 240

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19 4/3 well the opposite must have a different sign so it must be -1

The line that is normal to the curve at the point (1, π) is represented by the equation y = -π/(2π)x - π/2.

To find the slope of the curve and the line that is normal to the curve at the point (1, π), we need to differentiate the equation \(3x^2y - πcos(y) = 4π\) with respect to x.

Differentiating both sides with respect to x:

\(6xy + 3x^2(dy/dx) + πsin(y)(dy/dx) = 0.\)

Now we substitute the values x = 1 and y = π to find the slope at the point (1, π):

\(6(1)(π) + 3(1)^2(dy/dx) + πsin(π)(dy/dx) = 0,\)

6π + 3(dy/dx) + 0 = 0,

3(dy/dx) = -6π,

dy/dx = -2π.

The slope of the curve at the point (1, π) is -2π.

To find the equation of the line that is normal to the curve, we use the fact that the slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line.

Therefore, the slope of the line that is normal to the curve is 1/(-2π) = -1/(2π).

Using the point-slope form of a line, we have:

y - π = (-1/(2π))(x - 1).

Simplifying the equation, we get:

y = -π/(2π)x + π/2 - π,

y = -π/(2π)x - π/2.

The equation of the line that is normal to the curve at the point (1, π) is y = -π/(2π)x - π/2.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The equivalent expression of the expression 54x + 18 will be 18(3x + 1). Then the correct option is E.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 54x + 18

Simplify the expression, then we have

⇒ 54x + 18

⇒ 18(3x + 1)

The equivalent expression of the expression 54x + 18 will be 18(3x + 1). Then the correct option is E.

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The complete question is given below.

Drag each expression to show whether it is equivalent to 54x + 18, 18(3x – 1), or (6 • 9x) + (6 • 1).

expressions: A-54x B-(6 • 9x) + (6 • 3) C-54x + 6 D-3(18x+2) E-18(3x+1) F-(9*6x)-(9*2)

The (x, y) coordinates of point P are approximately (31.19, 20.67).

It is stated that the point P lies at a distance of r = 37 units from the origin and forms an angle of θ = 35° with respect to the x-axis, we can use trigonometry to find the x and y coordinates.

Using the trigonometric definitions, we have,

x = r * cos(θ) = 37 * cos(35°) ≈ 31.19

y = r * sin(θ) = 37 * sin(35°) ≈ 20.67

Therefore, the approximate (x, y) coordinates of point P are (31.19, 20.67). The coordinates (31.19, 20.67) represent the position of point P in the Cartesian coordinate system based on the given distance and angle measurements.

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Complete question - A point P lies in a plane and is a distance of r = 37 units from the origin of a Cartesian coordinate system. If the line joining the point and the origin makes an angle of = 35° degrees with respect to the x-axis, what are the (x, y) coordinates of the point P?

The softball manager can create 55 9-player starting lineups from 11 players of the same ability using combinations.

The combination is the process of calculating the number of ways of selecting a smaller set of articles, from a larger set of articles, in no particular order.

If we need to select r number of articles, from n number of articles in no particular order, we calculate the number of ways of doing so using combinations by the formula,

nCr = n!/{ r!(n - r)!}.

In the question, we are given that a softball manager has 11 players of the same ability, and are asked to calculate the number of lineups the manager can create of 9 players.

To calculate this, we use combinations as the order of selection is not of concern.

The smaller set is, r = 9, and the larger set is n = 11.

Using the formula of combinations, nCr = n!/{ r!(n - r)!}, we can show that:

11C9 = 11!/{ 9!(11 - 9)!},

or, 11C9 = (10*11)/(1*2),

or, 11C9 = 5*11 = 55.

Thus, the softball manager can create 55 9-player starting lineups from 11 players of the same ability using combinations.

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The probability that exactly 3 out of the first 11 customers buy a magazine is 2.23%

The proportion of customers that buy a magazine = 8.4%

If 3 out of the first 11 customers buy a magazine, then this proportion is given as; 3/11 or 27.27%

Therefore, the probability that 3 out of the first 11 customers will buy a magazine is calculated as follows;

probability = 8.4% × 27.27%

probability = (8.4/100) × (27.27/100)

probability = 0.084 × 0.2727

probability = 0.0223

Converting it into percentage as follows;

probability = 0.0223 × 100

probability = 2.23%

Therefore, the probability that 3 out of the first 11 customers buy a magazine is calculated to be 2.23%.

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The point P on the curve r(t) = ⟨t, t^2 − 4t, 3t + 4⟩ that lies closest to the point P0(1, 12, 4) is (2, 0, 10), and the distance between P and P0 is √65.

To find the point on the curve that lies closest to P0, we need to minimize the distance between the two points. This can be done using the formula for the distance between two points in three-dimensional space. We get a quadratic equation in t, which we can minimize using calculus. The closest point is then found by plugging in the value of t into r(t). The line passing through the points P(0, 0, 0) and Q(4, 5, 6) can be expressed as r(t) = ⟨4ti, 5tj, 6tk⟩. We can find the direction vector of the line by subtracting the coordinates of P from the coordinates of Q, which gives us the vector ⟨4, 5, 6⟩. We can then express this vector in terms of i, j, and k and scale it by t to get the vector equation for the line. The point P corresponds to t = 0, and Q corresponds to t = 1, so we get r(t) = ⟨4ti, 5tj, 6tk⟩.

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Answer:

Quiz - Quizizz

Q. In an exponential function, what does the 'a' represent? ... Q. What is a, the starting term, for the function: f(x) = 800(0.85)x? ... In the equation y=2(5)x , the a value (y-intercept) is.

Missing: r ‎| Must include: r

The length of NO is 2x/3.

Scale factor is used to replicate the similar structures at smaller or larger scale. As per the known fact, scale factor is associated with the length by the relation given below -

Scale factor = length of the side of ∆ABC ÷ length of the side of ∆MNO

Assuming the length of side BC be x. Now, calculating the length of similar side of NO as per the x.

Keep the values in above mentioned relation between scale factor and side of each triangle.

3/2 = x/length

Length = 2x/3

Hence, the length of NO in triangle MNO is 2x/3.

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Answer:

248.40

Step-by-step explanation:

plz make me branliest and like

To calculate the integrals Ix x and Ixy in spherical coordinates over the specified region, we need to express the volume element dV in terms of spherical coordinates.

The volume element in spherical coordinates is given by dV = r^2 sin(θ) dr d θ d φ, where r represents the radial distance, θ represents the polar angle, and φ represents the azimuthal angle.

For the integral Ix x = ∭(r^2 - x^2) dV, we need to convert the expression (r^2 - x^2) into spherical coordinates. Since x is not explicitly defined in the integral, we cannot express it solely in terms of spherical coordinates. Therefore, it is not possible to calculate Ix x directly in spherical coordinates without further information.

For the integral Ixy = ∭(-xy) dV, we can rewrite it in spherical coordinates as ∭(-r^3 sin(θ) cos(θ) sin(φ) cos(φ)) dr dθ dφ. By integrating this expression over the given range (r from 0 to 1, θ from 0 to 2π, and φ from 0 to 2π), we can evaluate Ixy numerically.

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Answer:

$6.65

Step-by-step explanation:

7 ----- 2.45

19 ---- x

\(x=\frac{(19)(2.45)}{7} =6.65\)

Hope this helps

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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In Gaussian Elimination (GE), pivot elements are the non-zero numbers used to eliminate variables in the matrix during the process

Pivot elements are the leading non-zero elements in each row of a matrix that has been converted to row echelon form through the Gaussian Elimination process. In other words, they are the first non-zero entry in each row of the matrix after it has been reduced.

Pivot elements are used to determine whether a system of linear equations has a unique solution or not. If a row of a matrix has no pivot element, it is a zero row and can be ignored during the process of solving the system of linear equations.

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Answer:

enough to process what a word is

Step-by-step explanation:

Answer:

See pic below.

Step-by-step explanation:

Draw a triangle in the graph and use the Pythagorean theorem.

Answer:

18

Step-by-step explanation:

The methods used to analyze data produced by scientific studies are called statistics. Option (c) is correct.

What are experiments and how do we analyze them using statistics?

Experiments are procedures or methods carried out under controlled conditions to discover a new fact or to test or  establish a hypothesis  that already exists.

From experiments we generate certain scientific data but to analyze data we need statistics.

Statistics is a process of collecting and analyzing and interpreting data.

Therefore the methods used to analyze data produced by scientific studies will be done by statistics.

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Answer:

Step-by-step explanation: Hello,

the answer

Answer:

The slope is 1/4!

Step-by-step explanation:

The formula to find slope is y2-y1 the x2-x1. Hope this helps!

The work done by the force F(x, y) = (2x² + 2e¯î + (-3y² - 2xe¯Î) along the curve y = x for 0 ≤ x ≤ 1 is equal to -9.0744509904486237E-3. This value is given as option c.

To calculate the work done by a force along a curve, we use the formula: W = ∫ F · dr, where F is the force vector and dr is the differential displacement vector along the curve. In this case, we have F(x, y) = (2x² + 2e¯î + (-3y² - 2xe¯Î). Along the curve y = x, we can express dr as dr = dxî + dyĵ. Substituting these values into the formula, we get W = ∫ (2x² + 2e¯î + (-3x² - 2xe¯Î)) · (dxî + dyĵ). Integrating this expression over the given limits of 0 to 1 for x, we obtain the value -9.0744509904486237E-3, which corresponds to option c.

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