a truck has 36 inch diameter. how far does the truck roll if the wheels rotate 5 complete revolutions. round answer to the nearest tenth of an inch

Answer:

75%

Step-by-step explanation:

150/200 × 100 =75

Divide 150 by 200:

150/200 = 0.75

Multiply by 100:

0.75 x 100 = 75%

The answer is 75%

Answer:

what's the question.. I'll help

The answer is 5 (x - y + 2z) (x- y - 2z)

A polynomial or integer is simply resolved into factors that, when multiplied together, produce the original or initial polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

The algebraic expressions can be factored using one of four techniques.

Now, solving the following question,

= 5 [ \(x^{2}\) - 2xy + \(y^{2}\) ] - 4\(z^{2}\)

= 5 [ \((x-y)^{2}\) - \(2z^{2}\)

= 5 (x - y + 2z) (x - y - 2z)

Therefore, the factors are 5 (x - y + 2z) (x - y - 2z)

The following question is incomplete. The correct question is:

Factorize the given equation.

5\(x^{2}\) - 10xy + 5\(y^{2}\) -     \(20z^{2}\)

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Answer:

-11

Step-by-step explanation:

plug -3 in x values.

h(-3) = -3^2 -2

=-11

Answer: h(-3) = 7

Explanation: If h(x) = x² - 2, then h(-3) = (-3)² - 2

which simplifies to 9 - 2 or 7.

Remember to always use parenthses when

substituting your given value in for x.

The tangent of the angle in a right triangle is:

Tangent = Sine / Cosine

In a right triangle, the sine of an angle is equal to the length of the side opposite the angle divided by the length of the hypotenuse. The cosine of the same angle is equal to the length of the side adjacent to the angle divided by the length of the hypotenuse.

To find the tangent of the angle, you can use the formula:

Tangent = Opposite / Adjacent

Since the opposite side is the side opposite the angle and the adjacent side is the side adjacent to the angle, the tangent of the angle can be calculated by dividing the sine of the angle by the cosine of the angle.

Therefore, the tangent of the angle in a right triangle is:

Tangent = Sine / Cosine

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Answer: Let the side length of the square rug be x, and the dimensions of the rectangular rug be l and w.

In the first arrangement, the three rugs are arranged side by side, with the rectangular rugs aligned vertically and the square rug aligned horizontally. The length of this arrangement is l + 2x, and the width is w. We know that the length is 3 times the width, so we can write:

l + 2x = 3w

In the second arrangement, the two rectangular rugs are arranged side by side, with the square rug placed on top. The length of this arrangement is l, and the width is w + x. We know that the length is twice the width, so we can write:

l = 2(w + x)

We now have two equations with two unknowns, l and w:

l + 2x = 3w

l = 2(w + x)

Substituting the second equation into the first, we get:

2(w + x) + 2x = 3w

4x = w

Substituting this value of w into the second equation, we get:

l = 2(4x) = 8x

So the dimensions of the rectangular rug are 4x by x, and the dimensions of the square rug are x by x.

To find the value of x, we use the measurements given in the diagram:

l + 2x = 60

l = 36

Substituting into the equation l = 2(w + x), we get:

36 = 2(4x + x)

36 = 10x

x = 3.6

So the side length of the square rug is 3.6 feet.

Step-by-step explanation:

Answer:

\( \sqrt{5hk} \times \sqrt{10 {h}^{4}k } \\ = \sqrt{5hk10 {h}^{4} k} \\ \sqrt{50 {h}^{5} {k}^{2} } \\ thank \: you\)

150h^5k^2

hers the answer

Answer:

8 + \(\sqrt{3}\)

Step-by-step explanation:

A complex conjugate is found when the signs differ, but the numerical elements remain the same.

Sophia age for her Uncles age is wrong . The correct expression is (12 + 5) × 3  - 4.

Sophia is 12 years old.  Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age.

Therefore, let's find the expression for Her uncle's age and compare it with Sophia expression.

Therefore,

(12 + 5) × 3  - 4

Therefore, Sophia expression is wrong. The correct age for her Uncles age is (12 + 5) × 3  - 4.

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Answer:

A -1

Step-by-step explanation:

The coefficient is the number in front of a variable. since there isn't a number we can conclude that the y is only there once. There is 1 (one) y. Since it is subtracting in front of the coefficient, we can determine it is taking one away, or -1. So 6-y+3 is 6-1y+3.

Answer:

y = 2/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Sal previously earned $61640.

Answer:

$62,000.00

Step-by-step explanation:

x + .08x = 66960  Combine like terms

1.08 x = 66960  Divide both sides by 1.08

\(\frac{1.08x}{1.08}\) = \(\frac{66960}{1.08}\)

x = 62000

Answer:

2

Step-by-step explanation:

50 and 112 are significantly different from the other data

Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

Answer:

i forgot what i was going to put

Answer:

b = \(\frac{A-2\pi rh}{2}\)

Step-by-step explanation:

Given

A = 2πrh + 2b ( subtract 2πrh from both sides )

A - 2πrh = 2b ( divide both sides by 2 )

\(\frac{A-2\pi rh}{2}\) = b

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

The quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

To determine which function best models the given data, we will analyze the options and evaluate their fit based on the information provided.

\(Option a: y = -x^2 + 20x + 40Option b: y = -2x^2 + 20x + 60Option c: y = x^2 + 20x + 60Option d: y = -x^2 + 20x + 60\)

We will compare the options based on their general form and characteristics to see which one aligns best with the given data.

1. Quadratic form: All the options are quadratic functions in standard form, y = ax^2 + bx + c, which is suitable for modeling a parabolic relationship.

2. Coefficients: Let's compare the coefficients a, b, and c for each option:

  Option a: a = -1, b = 20, c = 40

  Option b: a = -2, b = 20, c = 60

  Option c: a = 1, b = 20, c = 60

  Option d: a = -1, b = 20, c = 60

  Among these options, we notice that options a, b, and d share the same coefficient values for a and b, while option c has a different value for a. Since the coefficients a and b are the same for options a, b, and d, we will focus on those.

3. Vertex and concavity: The vertex of a quadratic function in standard form is given by (-b/2a, f(-b/2a)), where f(x) represents the function. The concavity of the parabola can be determined by the sign of the coefficient a.

  For options a, b, and d, the vertex is (10, f(10)) since b = 20 and a = -1 for these options.

  Option a: Vertex (10, f(10))

  Option b: Vertex (10, f(10))

  Option d: Vertex (10, f(10))

  Since the coefficient a is negative in all three options, the parabolas will have a downward-facing concavity.

4. Evaluation: Based on the above analysis, we can conclude that options a, b, and d have similar characteristics and share the same vertex at (10, f(10)). However, option c differs from the others in terms of its coefficient a and does not match the given data as closely.

Therefore, the quadratic function that best models the given data is option d: y = -x^2 + 20x + 60 because it is a quadratic function and its graph is a downward-facing parabola.

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The best function that models the given data is y = -x^2 + 20x + 60.

The best function that models the given data of the number of visitors in the park requiring first aid during the heat wave is option d. \(y = -x^2 + 20x + 60\).
To determine the best function, we need to consider the characteristics of the scatter plot. The function that models the data should exhibit a downward-opening parabolic shape because the number of visitors requiring first aid decreases as the number of visitors increases.

Looking at the options, we can see that option d is the only one that represents a downward-opening parabola. The negative coefficient of \(x^2\)(-1) ensures that the parabola opens downwards.
The coefficient of x in option d (+20) indicates that the parabola is shifted 20 units to the right. This makes sense because as the number of visitors increases, the number requiring first aid also increases, indicating that the peak of the parabola occurs at a higher number of visitors.
The constant term (+60) represents the y-intercept, which is the value of y when x is 0. In this case, it represents the initial number of visitors requiring first aid.

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The shadow length is increasing at a rate of approximately 3.16m/s when Regina is 7m away from the point under the light.

A streetlight hangs 5 meters above the ground.

Regina, who is 1.5 meters tall, walks away from the point under the light at a rate of 2 meters per second.

The objective is to find the rate at which her shadow is lengthening when she is 7 meters away from the point under the light.

Let AB be the pole of the light and C be the shadow of Regina and CB be her shadow. We have,

AB = 5m and AC = 1.5m

Also, it is given that Regina is moving away from the point at a rate of 2m/s.

Now, it is required to find the rate at which CB is increasing, i.e., to find d(CB)/dt when Regina is 7m away from the pole.

From the figure, we can observe that:  AB/BC = AC/CB

By differentiating w.r.t time t on both sides, we have:

d(AB)/dt / BC + AB / d(BC)/dt = - d(AC)/dt / CB - AC / d(CB)/dt

Now, we substitute the given values into the above equation, we get:

d(AB)/dt = 0, AB = 5m

BC = 7m

AC = 1.5m

d(AC)/dt = -2m/s

Substituting these values, we get;

0/7 + 5 / d(BC)/dt = -(-2) / CB - 1.5 / d(CB)/dt

On solving, we get;

d(CB)/dt = 60 / 19 ≈ 3.16m/s

Therefore, the shadow length is increasing at a rate of approximately 3.16m/s when Regina is 7m away from the point under the light.

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Workout of the fastest person's total time is 2 minutes 34 seconds.

Time is a concept used to describe the sequence and duration of events or changes that occur in the universe. It is a measure of the interval between two events or occurrences, and it allows us to describe and understand the order and duration of events.

In physics, time is often described as a dimension, along with the three spatial dimensions, and is often measured in units such as seconds, minutes, or hours. Time is also relative, meaning that its perception and measurement can vary depending on factors such as motion and gravity.

Overall, time is a fundamental concept in many fields, including physics, philosophy, and everyday life, and its study and understanding are crucial to our understanding of the world around us.

According to the given information:

From the given table we can observe that Ben is the fastest

Total time =53.44 + 49.79+ 50.50

                = 153.73 seconds.

Hence, total time = 2 minutes 34 seconds

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Answer:

The answer is I don't know

Answer:

a) after 12.59 days the revenue will be equal

b) u just have to graph it

the second one is

a) the two solutions are x=4 and x=-4

b) x=-4 is not reasonable because time can’t be negative

c) after four seconds, the heights will be equal

Step-by-step explanation:

After 12.59 days the revenue for each game is the same. The two solutions of the system equation b(t) and p(t) are 4 and -4, and -4 is not a reasonable solution because time never be negative and after 4 seconds the rocket and the ball reach the same height.

1)

Given :

Math Game --   \(\rm M(d) = x^2-9x-10\)

Reading Game --   R(d) = 2x + 10

It is given that after 'x' number of days the revenue for each game is the same, that is:

\(\rm x^2 -9x-10=2x+10\)

\(\rm x^2 -11x-20=0\)

Simplify the above quadratic equation.

\(\rm x = \dfrac{11\pm \sqrt{11^2-(4\times -20)} }{2}\)

\(\rm x = \dfrac{11\pm \sqrt{201} }{2}\)

x = 12.59 days

So, after 12.59 days the revenue for each game is the same.

The graph of both the revenue function is attached below.

2)

Given :

\(\rm b(t) =- t^2-2t+36\)

p(t) = -2t + 20

The solution of this system can be determined by equating both the above function.

\(\rm -t^2 - 2t +36 = -2t +20\)

Simplify the above equation.

\(\rm t^2 =16\)

t = 4 and -4

a) The two solutions of the system are 4 and -4.

b) -4 is the solution is not a reasonable solution because time never be negative.

c) After 4 seconds the rocket and the ball reach the same height.

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Answer:

In an equation y = a(x - h) + k, the axis of symmetry will be x = h. This is because (h, k) is the vertex, and the parabola will be symmetric on both sides of the vertex.

The simplified form of the rational expressions (8x − 40)/(x² − 11x + 30) and (2x − 6)/(x² − 36) − 5/(x − 1) are 8/(x − 6) and (-3x − 42)/(x − 6)(x + 6)(x − 1), respectively. The restrictions are x ≠ 5 and x ≠ 6 for the first rational expression and x ≠ ±6 and x ≠ 1 for the second rational expression.

Simplifying rational expressions. The given rational expression is 8x − 40/x² − 11x + 30, which can be factored to 8(x − 5)/(x − 6)(x − 5). The factors x − 5 are common, so we can cancel them, leaving us with 8/(x − 6).

Therefore, the simplified form of the rational expression 8x − 40/x² − 11x + 30 is 8/(x − 6), with the restriction that x ≠ 5 and x ≠ 6.

The second rational expression given is (2x − 6)/(x² − 36) − 5/(x − 1), which can be simplified using difference of squares and common denominator:(2(x − 3))/(x − 6)(x + 6) − 5(x + 6)/(x − 1)(x − 6)(x + 6)= (2x − 12 − 5x − 30)/(x − 6)(x + 6)(x − 1)= (-3x − 42)/(x − 6)(x + 6)(x − 1)

Therefore, the simplified form of the rational expression (2x − 6)/(x² − 36) − 5/(x − 1) is (-3x − 42)/(x − 6)(x + 6)(x − 1), with the restriction that x ≠ ±6 and x ≠ 1.In conclusion,

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Answer:

X=66

Step-by-step explanation:

114+x=180

X= 66

Answer:

HI = 26

Step-by-step explanation:

To

calculate this, we use the principle of similar triangles

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

Let HI = x

x/x + 39 = 12/30

30(x) = 12(x + 39)

30x = 12x + 468

30x - 12x = 468

18x = 468

x = 468/18

x = 26

HI = 26

Answer:

64.9

Step-by-step explanation:

Since 7 is equal to or above 5 it will add +1 to the 8

Answer:

64.87 rounded to the nearest tenth is 64.9 since it is past 5 :)

Step-by-step explanation:

Answers:

================================================

Explanation:

A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.

For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3  (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.

Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.

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

If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

hope it can help you lovelots