Traveling at approximately 34,300 centimeters per
second, a sound wave would travel about how many
centimeters in 4 hours?
F. 4.94 x 108
G. 4.94 x 107
H. 8.23 x 106
J. 8.23 x 105
K 1.37 x 10

Answer:

H⁣⁣⁣⁣⁣ere's l⁣⁣⁣⁣ink t⁣⁣⁣⁣o t⁣⁣⁣⁣he a⁣⁣⁣⁣nswer:

...................

Step-by-step explanation:

The range is from -3 to ∞

Answer:

below

Step-by-step explanation:

A. To find the constant speed that allows the car to travel exactly 144 feet in exactly 15 seconds, we can use the formula: speed = distance / time.

So, speed = 144 feet / 15 seconds = 9.6 feet/second.

B. If a car traveled at a constant speed of 9.6 feet/second for t seconds, the formula for its distance dd (in feet) from the starting point in terms of the time elapsed, tt (in seconds) would be:

dd = 9.6 feet/second * t seconds = 9.6t feet.

This question is incomplete

Complete Question

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled

a) with any two of the nominees?

b) with any two of the women?

c) with one of the men and one of the women?

Answer:

a) 21 ways

b) 6 ways

c) 12 ways

Step-by-step explanation:

We solve this question using combination formula

C(n, r) = nCr = n!/r! (n - r)!

a) with any two of the nominees?

Probability (two of the nominees) = 7C2

= 7!/2! ×(7 - 2)!

= 7!/ 2! × 5!

= 7 × 6 × 5 × 4 × 3 × 2 × 1/2 × 1 ×(5 × 4 × 3 × 2 × 1)

= 21

b) with any two of the women?

We have a total of 4 women

Hence, the probability of any two of the four women, filling the vacancies =

P(any two of the women) = 4C2

= 4!/2! ×( 4 - 2)!

= 4!/ 2! × 2!

= 4 × 3 × 2 × 1/ 2 × 1 ×( 2 × 1)

= 6

c) with one of the men and one of the

Total number of men = 3

Total number of women = 4

= 3C1 × 4C1

= [3!/1! ×(3 - 1)! ] × [4!/1! ×(4 - 1)! ]

= [3!/1! × 2!] × [4!/1! ×3!]

= [3 × 2 × 1/ 1 × 2 × 1] × [4 × 3 × 2 × 1/ 1 × 3 × 2 × 1]

= 3 × [24/6]

= 3 × 4

= 12 ways

The probability for any two of the nominees is 21

The probability for two women is 6

This question is incomplete

Complete Question

Among the seven nominees for two vacancies on the city council are three men and four women. In how many ways may these vacancies be filled

a) with any two of the nominees?

b) with any two of the women?

We have given,

Total number of nominees for two vacancy =7

We solve this question using combination formula

What is the formula for combination?

\(C(n, r) = nCr = n!/r! (n - r)!\)

a) with any two of the nominees?

Total number of nominees(n)=7

We are selecting r nominees r=2

Probability  = 7C2

= \(\frac{7!}{2! (7 - 2)!}\)

= 7!/ 2! × 5!

= 21

b) with any two of the women?

We have a total number of women=4

Out of 4 we have select 2 women

Hence, the probability of any two of the four women is

4C2

= 4!/2! ×( 4 - 2)!

= 4!/ 2! × 2!

= 6

Therefore,probability for two women is 6

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Answer:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

Step-by-step explanation:

The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.

9514 1404 393

Answer:

  (d)  16

Step-by-step explanation:

Angles opposite sides of the same measure are congruent. Here, the triangle is isosceles, so the base angles are congruent:

  2x = 32

  x = 16 . . . . . . divide by 2°

Surface area generated by revolving the curve y = 2√(x) on the interval [4, 9] about the x-axis is approximately 159.174 square units.

The measurement of three-dimensional solids' surfaces the surfaces of three-dimensional solids, such as cubes, spheres, prisms, and pyramids, in square or meter units, is known as Surface area.

SA = \(\int\limits^ {} [a,b] 2\pi y\sqrt{(1+\frac{dy}{dx} )^{2}} dx\)

Given, y = 2√(x)

\(\frac{dy}{dx}\) = \(\frac{1}{\sqrt{(x)} }\)

\(SA =\int\limits^ {} [4,9] 2\pi \sqrt{2(x)} \sqrt{(1+\frac{1}{\sqrt{(x)} } )^{2}} dx\)

\(SA = 4\pi \int\limits\ [4,9]\sqrt{(x^{2}+x)} dx\)

To solve this integral, we use the substitution u = x² + x:

We get, dx = du/(2x + 1)

When x = 4, u = 20, and when x = 9, u = 90, so the limits of integration become [20, 90]:

\(SA = 4\pi \int\limits[20,90]\sqrt{u\ \frac{du}{(2x + 1)} }\)

\(SA = 2\pi \int\limits[20,90]u^{\frac{1}{2} } (2x + 1)^{\frac{-1}{2} } du\)

Using the power rule of integration in the above equation, we get:

SA = 2π [(2/3)(90 + 90^(3/2)) - (2/3)(20 + 20^(3/2))]

SA = 2π (120 - 4√5)

SA ≈ 159.174

Therefore, surface area generated by revolving the curve y = 2√(x) on the interval [4, 9] about the x-axis is approximately 159.174 square units.

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Answer:

Naomi is smaller

Step-by-step explanation:

Hope I could help!

God bless you.Have a great day!!

Answer: choice A 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/3=2/3*p(B)

p(B)=1/2

Answer:

ching chong

Step-by-step explanation:

Answer:

\(x \approx 3.195\) satisfies the conclusion of the Mean Value Theorem for \(f(x) = \ln x^{3}\) over the interval \([1,e^{2}]\).

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval \([a, b]\), there is at a value \(c\) within the interval such that:

\(f'(c) = \frac{f(b)-f(a)}{b-a}\) (1)

Where:

\(a\), \(b\) - Lower and upper bounds.

\(f(a)\), \(f(b)\) - Function evaluated at lower and upper bounds.

\(f'(c)\) - First derivative of the function evaluated at \(c\).

If we know that \(f(x) = \ln x^{3} = 3\cdot \ln x\), \(f'(x) = \frac{3}{x}\), \(a = 1\) and \(b = e^{2}\), then we find that:

\(\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}\)

\(\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }\)

\(\frac{3}{c} = \frac{6}{e^{2}-1}\)

\(c = \frac{1}{2}\cdot (e^{2}-1)\)

\(c \approx 3.195\)

\(x \approx 3.195\) satisfies the conclusion of the Mean Value Theorem for \(f(x) = \ln x^{3}\) over the interval \([1,e^{2}]\).

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Answer:

6 is 140°

step by step

same line meant that the angle abc equals 180°

so DBC =180-40=140° .

Answer:

the second one

Step-by-step explanation:since i helped can i have brainlist please :D

Hint :-

Solution :-

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\(\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}\) .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\(\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right] \)

Notice the term \(\dfrac{1}{2^{25}}\) will be too small , so we can neglect it and take its approximation as 0 .

\(\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right] \)

\(\\\implies \boxed{ S_1 \approx 1 }\)

\(\rule{200}2\)

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\(\implies S_2=\dfrac{n}{2}[2a + (n-1)d] \)

Substitute ,

\(\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908} \)

Hence sum = 908 + 1 = 909

Step-by-step explanation:

step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)

step 2. x + 90 + 127 = 360

step 3. x + 127 = 270. (subtract 90 on both sides)

step 4. x = 143° (subtract 127 on both sides)

Answer:

e and c

Step-by-step explanation:

( 1 - cos²x ) secx

=> sin²x . secx

Here the rule ( rule 1 ) is the first trigonometric identity [ sin²A + cos²A = 1 ] by simplifying we have , [ 1 - cos²A = sin² ] . So here we substituted 1 - cos²x = sin²x .

=> sin²x [ 1/cosx ]

Here the rule ( rule 2 ) is secx = 1/cosx . So here we substituted secx = 1/cosx .

=> sinx [ sinx/cosx ]

Here the rule ( rule 3 ) is sin²x can be written as sinx . sinx , so we get sinx . sinx [ 1/cosx ] next by simplifying , sinx [ sinx/cosx ].

=> sinx tanx

Here the rule ( rule 4 ) is , in the above we got sinx/cosx and here we know that , sinx/cosx = tanx . So we have tan x .

The proof of the identity that justifies that ( 1 - cos²x ) secx equals sinx(tanx) has been described below with statements and rules.

Statement 1; ( 1 - cos²x ) secx

This is given

Statement 2; sin²x · secx

Rule 1;  From trigonometric identities, we know that;

sin²x + cos²x = 1,

Thus; cos²x = 1 - sin²x

Thus; ( 1 - cos²x ) secx = sin²x · secx

Statement 3; sin²x (1/cosx)

Rule 2;  The rule here according to trigionometric identities is that; secx = 1/cosx. Thus; secx = 1/cosx .

Statement 4; sinx (sinx/cosx )

Rule 3;  The rule here is that sin²x can be expressed as (sinx * sinx)

Thus, we have; sinx . sinx (1/cosx) = sinx (sinx/cosx ).

Statement 5; sinx(tanx)

Rule 4;  The rule here is that; sinx/cosx = tanx.

Thus;  sinx (sinx/cosx ) gives us sinx(tanx)

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Answer:

Option D is your correct answer

I think it will help.

Answer:

About 13.3 percent

To find the percent increase divide 12.99 by 14.99 and get .8666577 subtract one to find percent increase and get .13342228 turn into percent and round to the nearest tenths place and get - 13.3 percent.

To calculate the standard deviation of discrete random variables when given standard deviation and mean, we can follow the mentioned procedure.

Determine the mean, or expected value, by adding the products of each result and its probability:

μ = n ∑ i = 1

x 1p1 + x2p2 + xnpn = x I p I

Step 2: Using the formula

σ^2=n∑i=1,

calculate the variance for the random variable.

p I ( x I − μ ) 2 .

Step 3: Take the square root of the variance to calculate the standard deviation.

A discrete random variable is one that can have just a finite number of or countably infinitely many different values. However, this does not mean that the sample space can only have a finite number of outcomes.

A random variable is one that can have several values, each of which has a certain probability of occuring. The random variable is discrete when there are a finite (or countable) number of such values.

Random variables are distinct from "regular" variables, which have a fixed (but frequently unknown) value.

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Answer: 90

Step-by-step explanation:

If you do the following:

100% of 60 = 60

50% of 60 = 30

60 + 30 = 90

Answer:

2

Step-by-step explanation:

14-(-2)/10-2

14+2/10-2

16/8

2

Answer:45.9

Step-by-step explanation:

Circumference=12

Length of arc=8/5=1.6

π=3.14

Circumference=2 x π x r

12=2x3.14xr

12=6.28 x r

Divide both sides by 6.28

12/6.28=(6.28 x r)/6.28

2=r

r=2

Length of arc =Φ/360 x 2 x π x r

1.6=Φ/360 x 2 x 3.14 x 2

1.6=(Φ x 2 x 3.14 x2)/360

1.6=12.56Φ/360

Cross multiply

1.6x360=12.56Φ

576=12.56Φ

Divide both sides by 12.56

576/12.56=12.56Φ/12.56

45.9=Φ

Φ=45.9

Answer:

16

Step-by-step explanation:

Take the total number of sandwiches and multiply the fraction that were ham

56 * 2/7

56/7 *2

8 *2

16

16 sandwiches were ham

a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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Answer:

29

Step-by-step explanation:

If x = 4, then y = 4x + 13 can be written as the following:

y = 4(4) + 13

y = 16 + 13

y = 29

Hope this helps!

Answer:

- 10

Step-by-step explanation:

-6+8×5÷-10

-6+40÷-10

-6-4

-10

Answer and Step-by-step explanation:

According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),

First we multiply, then divide, then finally add/subtract.

-8 times 5 is -40.

-40 divided by -10 is 4.

-6 - 4 = -10

The answer to the expression is -10.

#teamtrees #PAW (Plant And Water)

The dimension that would give the maximum area is 20.8569

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

\([70-(\pi )x -x]\)

Length = \([70-(1+\pi )x]/2\)

Total area =

area of rectangle + area of the semi-circle.

Total area =

\(x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2\)

When we square it we would have

\(70x +[(\pi /4)-(1+\pi)]x^2\)

This gives

\(70x - [3.3562]x^2\)

From here we divide by 2

\(35x - 1.6781x^2\)

The maximum side would be at

\(x = 35/2*1.6781\)

This gives us 20.8569

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Answer:

4

Step-by-step explanation:

The integers are

x

x+1

x+2

x+3

x+4

since they are consecutive

The largest is x+4

The smallest is x

Difference is

x+4 -x

4

Answer:

Step-by-step explanation:

If the least integer is n, it means the five consecutive integers are:

n,n+1,n+2,n+3,n+4

Summing all integers we have:

n + n+1+n+2+n+3+n+4

=5n+10

The mean of this integers is

5n+10 /5 =19

5n+10=19*5

5n + 10 = 95

5n = 95 - 10

5n =85

n=85/5=17

The smallest of the integer is n= 17

The largest integer is n + 4 =17+4=23

The difference between the least and largest integer would be;

Is 4

The sum of largest integer and the smallest integer is 23 + 17 = 40