A volleyball has a circumference of 30 inches. What is its volume?

Answer:

24

Step-by-step explanation:

5^2-(-3)^0

=25-(-3)^0

=25-3^0

=25-1

24

To simplify it, first factor the denominators of each fraction in eqation 1/(1-p+p²) + 1/(1+p+p²) - 2p/(1-p²+p⁴) and simplify to get simplified equation is  2(1+p)/[(1-p+p²)(1+p+p²)] .

What is  factor ?

In mathematics, a factor is a number or algebraic expression that divides another number or expression without leaving a remainder.For example, the expression x^2 - 4 can be factored as (x+2)(x-2) .

What is  denominator ?

denominator is a bottom part of a fraction. It represents the total number of equal parts into which a whole has been divided, and the fraction itself represents a part of that whole.For example,

in equation  (x+2)/(x-2)  , (x-2) is denominator .

In the given question ,

1/(1-p+p²) + 1/(1+p+p²) - 2p/(1-p²+p⁴ )   Next, we can find a common denominator for the three fractions. To do this, we need to factor the denominator of the third fraction further using the difference of squares formula as  1/(1-p+p²) + 1/(1+p+p²) - 2p/[(1-p+p²)(1+p+p²)]

Now we can find a common denominator by multiplying the first fraction by (1+p+p²)/(1+p+p²) and the second fraction by (1-p+p²)/(1-p+p²):

[(1+p+p²)/(1+p+p²)]/(1-p+p²) + [(1-p+p²)/(1-p+p²)]/(1+p+p²) - 2p/[(1-p+p²)(1+p+p²)]

= [(1+p+p²)+(1-p+p²)-2p]/[(1-p+p²)(1+p+p²)]

= [2+2p]/[(1-p+p²)(1+p+p²)]

= 2(1+p)/[(1-p+p²)(1+p+p²)]

Therefore, the simplified expression is 2(1+p)/[(1-p+p²)(1+p+p²)].

To know more about algebraic expression, visit:

https://brainly.com/question/953809

#SPJ1

Answer:

Step-by-step explanation:

Answer:

25 miles

Step-by-step explanation:

At 1 p.m. the maximum travel distance is reached.  This is 25 miles.

Answer: 50,000 pennies

Step-by-step explanation: there are 100,000 centimeters in a kilometer, since a penny is 2 centimeters in length, divide 100,000 by 2 t get 50,000

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

To know more about isolated visit:

https://brainly.com/question/32227296

#SPJ11

False. The statement is not necessarily true. While it is possible to have word embeddings that are 10000 dimensional for a vocabulary of 10000 words.

It is not a requirement to capture the full range of variation and meaning in those words. The dimensionality of word embeddings is not solely determined by the size of the vocabulary, but rather by various factors such as the complexity of the underlying semantic relationships and the specific modeling techniques used.

In practice, word embeddings are often created using techniques like Word2Vec or GloVe, which typically produce lower-dimensional embeddings (e.g., 100 to 300 dimensions). These lower-dimensional embeddings have been shown to effectively capture important semantic relationships and patterns in language, while also reducing the computational complexity and memory requirements. The choice of dimensionality depends on the specific application and the trade-off between capturing sufficient information and computational efficiency.

To know more about vectors click here: brainly.com/question/24256726

#SPJ11

Answer:

the answer is 11.

Step-by-step explanation:

To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.

The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).

So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.

There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.

Answer:

Step-by-step explanation:

90-28=62

62 is the answer

On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)

Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.

The Range of the given function, f(x) = sin(x)

\(-1 < y < 1\)

To know more about Range visit:
https://brainly.com/question/12789483

#SPJ4

Answer:

This should be correct! Hope this helps! (-5, -3)

Answer:

f(x) = x + 1

Step-by-step explanation:

f(x) increase by 1 for every 1 increase in x.  This is a linear function with a slope(m) of +1.

y = mx + b

y = x + b

The y intercept (b) is 1 (thevalue of y when x=0)

y = x + 1

This works for all the values listed.

f(x) = x + 1

Answer:

what are the answer choices

Step-by-step explanation:

Answer:

It would be 9.5 ft

Step-by-step explanation:

12.4+12.4= 24.8

43.8 - 24.8= 19

19/2= 9.5ft

Answer:

$16, sorry if its wrong (im pretty sure i'm right tho)

Answer:

24.00 total :)

Step-by-step explanation:

$.40/.25 miles

15/.25 = 60

60 x $.40 = $24.00

Hope this helps!

If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

Learn More about acceleration

https://brainly.com/question/26408808

#SPJ4

Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

Answer:

u=66(oppodite angles of parallrlogram are equal)

66+3v=180( cointerior angle)

3v=114

V=38

Step-by-step explanation:

plz mske me brainliest

This indicates that vector 2AB has a length of 165.

Given the points A(-2, 0), B(6, 16), C(1, 4), D(5, 4), and E, let's determine the length of the vector 2AB. To begin, we must determine the distance that separates points A and B. The distance formula is as follows: Equation for distance: We can calculate d as [(x2 - x1)2 + (y2 - y1)2] using the distance formula: Spot = [(6 - (- 2))2 + (16 - 0)2] = [(6 + 2)2 + (16)2] = [(8)2 + (16)2] = [(64 + 256) = 320 = 8] Now, we can deduct the directions of point A from guide B toward decide the vector Stomach muscle:

To find 2AB, simply multiply each part of AB by 2: AB = (6 - (-2)i + (16 - 0)j = 8i + 16j 2AB = 2(8i + 16j) = 16i + 32j. Last but not least, we must ascertain the magnitude of 2AB. The extent recipe is as per the following: Size formula: Using the magnitude formula, we get: ||v|| = (v12 + v22). ||2AB|| = (162 + 322) = (256 + 1024) = (1280 + 165). This indicates that vector 2AB has a length of 165.

To know more about distance formula refer to

https://brainly.com/question/25841655

#SPJ11

Answer:

Step-by-step explanation:

Rectangle:

length = l = 12 cm

Width = w = 0.8 cm

Use Pythagorean theorem to find the diagonal

Diagonal² =  l² + w²

                = 12² + 0.8²

                = 144 + 0.64

                = 144.64

Diagonal = √144.64 = 12.03 cm

Diagonal of square  = diagonal of rectangle

                               = 12.03 cm

To find the side of square again use Pythagorean theorem,

side² + side² = 12.03²

2 sides² = 144.64

  side² = 144.64/2

  side² = 72.32

 side = √72.32

Side = 8.50 cm

Answer:

After 2 years you'll have $40.

Step-by-step explanation:

multiply 500×0.04×2

Answer: The accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = $ 12828.54

Step-by-step explanation:

Formula to find the accumulated amount after investing P amount at the rate of r ( in decimal) compounded annually for t years:

\(A=P(1+r)^t\)

As per given , we have

P =  $4,000

r= 6% = 0.06

Put thsese values in formula : \(A=4000(1+0.06)^t=4000(1.06)^t\)

The accumulated amount after 5 years = \(A(5)=4000(1.06)^5\)

\(=4000(1.3382255776)=5352.9023104\\\\\approx5352.90\)

Hence,  the accumulated amount after 5 years = $ 5352.90

The accumulated amount after 20 years = \(A(20)=4000(1.06)^{20}\)

\(=4000(3.20713547221)=12828.5418888\\\\\approx12828.54\)

Hence,  the accumulated amount after 20 years = $ 12828.54

Using the compound interest formula, the amount in the bank at the end of 5 years and 20 years would be $5325.90 and $12828.54 respectively

Using the compound interest formula :

After 5 years :

\( A = 4000(1 + 0.06)^{5} \)

Amount after 5 years = $5325.90

After 20 years :

\( A = 4000(1 + 0.06)^{20}\)

Amount after 5 years = $12828.54

Hence, the amount accumulated after 20 years will be $12828.54

Learn more : https://brainly.com/question/25581049

The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

Learn more about experiment here:

brainly.com/question/28198971

#SPJ11

Answer:

hope you can understand

To find the solution to the differential equation dz/dt=7te^(3z) that passes through the origin, we can use separation of variables. The solution to the differential equation dz/dt = 7te^(3z) that passes through the origin is z(t) = (-1/3)ln((-3/7)t^2 - 1/3).

First, we write the equation as:
1/e^(3z) dz/dt = 7t
Then, we integrate both sides with respect to t and z:
∫1/e^(3z) dz = ∫7t dt
Solving the integral on the left side, we get:
-1/3 e^(-3z) = 7t^2/2 + C
where C is the constant of integration.
To find the value of C that satisfies the condition of passing through the origin, we substitute t=0 and z=0 into the equation:
-1/3 e^(0) = 7(0)^2/2 + C
-1/3 = C
Therefore, the solution to the differential equation dz/dt=7te^(3z) that passes through the origin is:

-1/3 e^(-3z) = 7t^2/2 - 1/3
To find the solution to the differential equation dz/dt = 7te^(3z) that passes through the origin, follow these steps:
1. Identify the given differential equation: dz/dt = 7te^(3z).
2. Notice that this is a first-order, separable differential equation. Separate the variables by dividing both sides by e^(3z) and multiplying both sides by dt:
  (1/e^(3z))dz = 7t dt
3. Integrate both sides of the equation with respect to their respective variables:
  ∫(1/e^(3z))dz = ∫7t dt
4. Evaluate the integrals:
  (-1/3)e^(-3z) = (7/2)t^2 + C
5. Solve for z:
  e^(-3z) = (-3/7)t^2 + C*(-3)
6. Apply the initial condition that the solution passes through the origin (t = 0, z = 0):
  e^(0) = (-3/7)(0)^2 + C*(-3)
  1 = 0 + C*(-3)
7. Solve for C:
  C = -1/3
8. Plug the value of C back into the equation for z:
  e^(-3z) = (-3/7)t^2 - 1/3
9. Finally, to find the solution in terms of z(t), take the natural logarithm of both sides:
  -3z = ln((-3/7)t^2 - 1/3)
10. Isolate z:
  z(t) = (-1/3)ln((-3/7)t^2 - 1/3)

Visit here to learn more about differential equation:

brainly.com/question/14620493

#SPJ11

Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.

Step-by-step explanation: Sorry if im wrong.

Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive

⇒F(-5) just simply means that in the function F in the place of x you have to plug in -5 and simplify if possible.

\(f(-5)= -(-5)^{2} +9(-5)-17\\f(-5)=-(25)-45-17\\f(-5)=-25-45-17\\f(-5)=-70-17\\f(-5)=-87\)

the answer to f(-5) is -87

GOODLUCK!!

Answer:

x = 6

Step-by-step explanation:

The 'ZERO" of the function is the 'x' value(s) where it crosses the x-axis (and

'y' = ZERO)

Answer:

x = 6

Step-by-step explanation:

the zero of the function is the value of x on the x- axis where the graph crosses.

the graph crosses the x- axis at 6

then the zero is x = 6

Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

Learn more about logarithmic equations.

brainly.com/question/29094068

#SPJ11