3. Find the missing side length
of the right triangle below.

The number of miles she jogs each week is 18.25 miles

From the question, we are to determine the number of miles Wendy jogs in all each week

From the given information,

Wendy jogs a 5.75 mile route every Saturday

and

She also jogs a 2.5 mile each week-day Monday through Friday

∴ The number of miles she jogs Monday through Friday = 5 × 2.5

The number of miles she jogs Monday through Friday = 12.5 miles

Thus,

The number of miles she jogs each week = 12.5 miles + 5.75 miles

The number of miles she jogs each week = 18.25 miles

Hence, the number of miles she jogs each week is 18.25 miles

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Answer:

the answer is 7. Have a nice day!

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

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The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

The well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, \(a^{2}+b^{2} =c^{2}\)

Given that,

Length of the ladder is, \(l=9ft\)

Let the top of ladder be at height of 'h' and the bottom of the ladder be at a distance of 'b' from the wall.

Now, from triangle ABC,

\(AB^{2} +BC^{2} =AC^{2}\)

\(h^{2} +b^{2} =l^{2}\)

\(h^{2} +b^{2}\) = \(9^{2}\)

\(h^{2} +b^{2}\) = 81               (Equation-1)

Differentiating the above equation with respect to time, 't'.

So,

We can write,

\(\frac{d}{dt} (h^{2}+b^{2} )\) = \(\frac{d}{dt}\) (81)

\(\frac{d}{dt} (h^{2}+b^{2} )\) = 0

\(2h\frac{dh}{dt} +2b\frac{db}{dt}\) = 0

\(h\frac{dh}{dt} +b\frac{db}{dt}\) = 0                (Equation-2)

In the above equation the term \(\frac{dh}{dt}\) is the rate at which top of ladder slides down and \(\frac{db}{dt}\) is the rate at which bottom of ladder slides away.

Let us assume,

h = 3 ft and db/dt = 3 ft/s

We can substitute values in equation-1,

\(3^{2} +b^{2}\) = 81

9 + \(b^{2}\) = 81

\(b^{2}\) = 81-9

\(b^{2}\) = 72

b = \(\sqrt{72}\)

b = 8.48 ft

Now, plug in all the given values in equation (2) and solve for \(\frac{dh}{dt}\)

3*\(\frac{dh}{dt}\) + 8.48 * 3 = 0

3*\(\frac{dh}{dt}\) + 25.44 = 0

3*\(\frac{dh}{dt}\) = - 25.44

\(\frac{dh}{dt}\) = -25.44/3

\(\frac{dh}{dt}\) = - 8.48 ft/s

Therefore,

The rate at which the top of ladder slide down is 8.48 ft/s. The negative sign implies that the height is reducing with time which is true because it is sliding down.

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Answer:

Explanation:

The function for the graph in blue is given as:

• A point on f(x) is (0,0).

• A corresponding point on g(x), the red graph = (-4, 3)

This means that:

(1) f(x) has been translated by 4 units to the left which gives:

(2) f(x) has been translated by 3 units up.

Thus, the expression for g(x) is:

Step-by-step explanation:

70 ÷ 3 = 23  1/3

Answer:

Final mixture is 120 gm

x = 10%      then   (120-x) = 25%

.25(120-x)    + .1 (x)    =  .15 (120)       solve for x= 10% amount

                                                                 then  25% amount = 120-x

Step-by-step explanation:

Answer: 112 + d = total number of pies baked in two years

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

Step-by-step explanation:

Hope this helps! <3

In linear equation, y = (½)x  is equation does the graph below represent .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

(-8,-4) (0,0) and (8,4)

Use any 2 points to find the slope, hence the equation

slope = (y2-y1)/(x2-x1)

= (0-(-4))/(0-(-8))

= 4/8

= ½

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Answer: 10%

I had this same question earlier, 10% is the right answer

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

Answer:

f^(-1)(x) = ±√(x - 5).

Step-by-step explanation:

Replace f(x) with y: y = x^2 + 5.

Swap the x and y variables: x = y^2 + 5.

Solve the equation for y. To do this, we'll rearrange the equation:

x - 5 = y^2.

Take the square root of both sides (considering both positive and negative square roots):

±√(x - 5) = y.

Swap y and x again to express the inverse function:

f^(-1)(x) = ±√(x - 5).

Answer:

150 inches.

Step-by-step explanation:

There are 2 cubes in this image.

1 - 7 * 3 * 5       = 105

2 - 3 * 5 * 3      = 45

105 + 45

= 150

Answer:

The answer is 150 inches

Answer:

$22.00

Step-by-step explanation:

sales price x .05 = $1.90

Sales price = $1.90/.05

sales price = $38.00

total sales price less price of gloves = price of scarf

$38.00 - $16.00 = $22.00

Answer:

750 minutes

Step-by-step explanation:

there are 750 minutes in 12,5 hours hope that helps

Answer:

Everyone else is correct it's 750 minutes

Answer:

41

Step-by-step explanation:

Arranged it in order

Answer:

41 because you have to rearrange the numbers from least to greatest and the median is the middle number

40,40,41,52,62

41 is the median

Answer:

1 Question: D

2 Question: C

Just Imo. I did the work tho.

A) All x- and y-intercepts include the following:

x-intercepts: none.

y-intercept: 1.

B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.

C) The domain and range of f are:

Domain = [-∞, 4) U [4, ∞]

Range = [0, ∞]

In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).

Part A.

Based on the graph of this rational function, the x-intercept and y-intercept include the following:

x-intercept: none.

y-intercept: 1.

Part B.

An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.

Part C.

By critically observing the graph of this rational function, we can logically deduce the following domain and range:

Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.

Range = [0, ∞] or {y|y ≥ 0}.

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Answer/Step-by-step explanation:

Given:

\( 9w - 4w + 6 \) < \( 1 + 5w \)

To solve, collect like terms.

Subtract 5w from both sides

\( 9w - 4w + 6 - 5w \) < \( 1 + 5w - 5w \)

\( 9w - 4w - 5w + 6 \) < \( 1 \)

\( 6 \) < \( 1 \) (incorrect)

The inequality given has no solution or an information is missing.

Answer:

try to do this formula

XYZ

= X times Y times Z

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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The measure of angle a is equal to 125°.

In Mathematics and Geometry, the theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to this circle shown in the image attached above, we can infer and logically deduce that angle a can be calculated by using this formula:

m∠a = ½(b + c)

m∠a = ½(117 + 133)

m∠a = ½(250)

m∠a = 125°.

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The quadratic equation that describes the function is  

f(x) = x² + 4x + 1

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is the table that describes the quadratic function h(x) as follows -

{x}                h{x}

−3               −2

−2               −3

−1                −2

0                  1

1                   6

2                  13

3                  22

The quadratic equation is of the form given -

y = ax² + bx + c

For the point (0, 1), we can write -

1 = c                                                      ..... Eq{1}

For the point (1, 6), we can write -

6 = a + b + 1

a + b = 5                                               ...... Eq{2}

For the point (2, 13), we can write -

13 = 4a + 2b + 1

4a + 2b = 12                                               ...... Eq{3}

From Eq{2}, we can write -

a = 5 - b

So, the equation 3 can be written as -

4(5 - b) + 2b = 12

20 - 4b + 2b = 12

20 - 2b = 12

2b = 8

b = 4                                    ...... Eq{4}

then

a = 1                                ...... Eq{5}

So, we can write the quadratic equation as -

f(x) = x² + 4x + 1

Therefore, the quadratic equation that describes the function is  

f(x) = x² + 4x + 1

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