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Hugh slept for 10% of the one and a half hour flight from Melbourne to Sydney.

How many minutes did Hugh spend sleeping?

Answer: 10 rows of rose plants

Step-by-step explanation:

The number of rose plants in first, second third,..., and last row are respectively.

23,21,19,....,5.

number of rose plants: n

The sequence 23,21,19,....,5 is an A.P. with first term a(=23), common difference d(=−2) and n

=a+(n−1)d

⟹5=23+(n−1)×−2

⟹5=23−2n+2⟹20=2n⟹n=10

Answer:

angle DGE= 24 Degree

arc GF= 146degree

Step-by-step explanation:

angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree

arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so

angle DGE =24 degree &

ARC GF=146 degree

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.

Step-by-step explanation:

Answer:

Fraction, 15/10 is written out as 15 Over 10

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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Answer:

1.61.6 248248

Step-by-step explanation:

Answer: 136  17/36

Step-by-step explanation:

I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....

A) Acceleration Direction

The net force is acting down the surface, as seen in the figure. As a result, the acceleration vector should likewise be directed down the surface.

Labeling the vector of acceleration

The acceleration vector is depicted below:

B)  Determine the velocity vector

According to the free-body diagram, an item should be on an inclined surface with a tension force pulling it down. When a kinetic frictional force is directed up to the surface, the item is said to be sliding down the slope. As a result, the velocity vector should be oriented upside down.

Determine the direction of the velocity vector

The velocity vector is indicated in the picture below:

C) Describe a real-world thing

The diagram shows an item on an inclined surface, with the kinetic force directed up to the surface. As a result, the item may be thought of as a box being pulled down by a rope down an inclined slope.

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Full Question

Problems 35 through 40 show a free-body diagram. For each:

a. Redraw the diagram

b Identify the direction of the acceleration vector  and show it as a vector next to your diagram. Or, if appropriate, write

c. If possible, identify the direction of the velocity vector and show it as a labeled vector.

d Write a short description of a real object for which this is the correct free-body diagram. Use Examples 5.4, 5.5, and 5.6 as models of what a description should be like.

Answer: 37.68

Step-by-step explanation:

Since the diameter is 12 inches, you have to multiply it by pi (π) for the final answer, the circumference aka the whole thing

So:

C=πd

(12)(3.14)

=37.68

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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\(\\ \rm\longmapsto Area=255m^2\)

\(\\ \rm\longmapsto LB=255\)

\(\\ \rm\longmapsto 9L=255\)

\(\\ \rm\longmapsto L=\dfrac{255}{9}\)

\(\\ \rm\longmapsto L=28.3m\)

The integral of the function expressed as sum of partial frictions is -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C.

First, factor out 2x from the denominator to obtain:

∫[(x + 3)/(2x³ - 8x)] dx = ∫[(x + 3)/(2x)(x² - 4)] dx

Next, we use partial fractions to express the integrand as a sum of simpler fractions. To do this, we need to factor the denominator of the integrand:

2x(x² - 4) = 2x(x + 2)(x - 2)

Therefore, we can write:

(x + 3)/(2x)(x² - 4) = A/(2x) + B/(x + 2) + C/(x - 2)

Multiplying both sides by the denominator, we get:

x + 3 = A(x + 2)(x - 2) + B(2x)(x - 2) + C(2x)(x + 2)

Now, we need to find the values of A, B, and C. We can do this by equating coefficients of like terms:

x = A(x² - 4) + B(2x² - 4x) + C(2x² + 4x)

x = (A + 2B + 2C)x² + (-4A - 4B + 4C)x - 4A

Equating coefficients of x², x, and the constant term, respectively, we get:

A + 2B + 2C = 0

-4A - 4B + 4C = 1

-4A = 3

Solving for A, B, and C, we find:

A = -3/4

B = 7/16

C = -1/16

Therefore, the partial fraction decomposition is:

(x + 3)/(2x)(x² - 4) = -3/(4(2x)) + 7/(16(x + 2)) - 1/(16(x - 2))

The integral becomes:

∫[(x + 3)/(2x³ - 8x)] dx = ∫[-3/(8x) + 7/(8(x + 2)) - 1/(8(x - 2))] dx

Integrating each term separately gives:

∫[-3/(8x) + 7/(8(x + 2)) - 1/(8(x - 2))] dx

= -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C

where;

Therefore, the final answer is:

∫[(x + 3)/(2x³ - 8x)] dx = -3/8 ln|x| + 7/8 ln|x + 2| - 1/8 ln|x - 2| + C

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The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.

In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:

(x - a)(x - b) = x² - 13x + 30

So, (x - 3)(x - 10) = x² - 13x + 30.

Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

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Answer:

  499.338 feet

Step-by-step explanation:

You want to know the distance traveled by an object in 25 seconds when its velocity is described by 20+5cos(t) feet per second.

The distance an object travels is the integral of its velocity. For the given velocity and time period, the distance is ...

  \(\displaystyle d=\int_0^{25}{v(t)}\,dt=\int_0^{25}{(20+5\cos(t))}\,dt=(20t+5\sin(t))|_0^{25}\\\\d=500+5\sin(25)\approx\boxed{499.338\quad\text{feet}}\)

The distance traveled in 25 seconds is 499.33 feet.

It is required to find the distance traveled in 25 seconds.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

We have to find the distance , we will integrate v(t) from 0 to 25 second.

Consider an object traveling at constant velocity v = k. Then, each second, it travels k feet, so after t seconds, the distance traveled is k*t.

Now, suppose its speed increases by 1 feet/sec . So, estimate for distance traveled after t seconds is

1 + 2 + 3 + 4 + ... + t = t(t+1)/2, or approximately 1/2 t^2.

According to given question we have

Given a velocity function v, the distance s is figured by taking the integral. In this case,

v = 20 + 5 cos(t)

s = 20t + 5 sin(t) from 0 to 25

= s(45)-s(0)

s(0) = 0

so, the distance is

s(25) = 20*25 + 5sin(25)

= 500 -0.661

=499.33 feet.

Therefore, the distance traveled in 25 seconds is 499.33 feet.

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Answer: 2

Step-by-step explanation:

we simply plug in 2 for y.

3(2) - 4

6 - 4

6 - 4 = 2

Answer:

3y-4=2

3×2-4

=6-4

2 the value of y is 2

The original side length of the square is 6 inches.

Let's say that the original side length is S, then the original area is:

A = S²

If we cut 3 inches of the side length, then the new area is:

a = (S - 3)²

And this is 1/4 of the original area, so we can write the equation:

(S - 3)² = (1/4)*S²

Expanding it we will get:

S² - 6S + 9 = (1/4)*S²

4S² - 24S + 36 = S²

3S² - 24S + 36 = 0

So we have a quadratic equation to solve

Using the quadratic formula we will get:

\(S = \frac{24 \pm \sqrt{(-24)^2 - 4*3*36} }{2*3} \\\\S = \frac{24 \pm 12}{6}\)

The positive answer is the one that makes sense (we could not take 3 inches if we take the other one)

S = (24 + 12)/6 = 6

The original side length is 6 inches.

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Answer:

y-1/2=4(x-3/8)

(2y-1)/2=4(8x-3)/8

2y-1=[4(8x-3)/4]

2y-1=8x-3

8x-2y-2 is the eqn

taking 2 common we get

4x-y-1=0

we get

y intercept as -1

then,

y=1+4x

Answer:

Edge 2021

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

Answer:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Step-by-step explanation:

في الأسبوع الماضي ، اشترى تشين جالونًا من البنزين للغالون الواحد. هذا الأسبوع اشترى جالونًا من البنزين مقابل الدولار للغالون

Answer:

1. 2x + y = 3

2. y = -5

3. x -y = -3

4. 3x -y = 9

5. x + y = -2

6. 6x + y = -5

7. x + y = 2

8. y = -3

9. x + y = 4

10. x - y = -2

Step-by-step explanation:

It will take too long to explain all questions, so if you want more information on how to do these kinds of math problems please comment on this answer.

Step-by-step explanation:

-2, -8/3, -10/3, -4, -14/3

Write as multiples of 1/3.

-6/3, -8/3, -10/3, -12/3, -14/3

This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.

Therefore, the recursive formula is:

aᵢ₊₁ = aᵢ − 2/3, a₁ = -2

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer:

B

Step-by-step explanation:

Look at the line, it goes down, meaning a decrease in numbers.

Answer:

1/2

Step-by-step explanation:

Answer:

espera

Step-by-step explanation:

Answer:

I kept coming up with $3.56

Step-by-step explanation:

Answer:

$2.00 each

Step-by-step explanation:

Answer:

≈103.67cm

Step-by-step explanation:

Shape: Circle

Solved for circumference

Diameter: 33cm

Formula: C=πd

Answer: ≈103.67cm

Hope this helps.

Answer:

C = 33 pi

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 33 pi

We can approximate pi by 3.14

C = 33*3.14 =103.62

or by using the pi button

C =103.6725576

Answer: The correct formula for the sequence -1, -5, -9, ... is an = -4 + (-1) n - 1). This formula uses the common difference of -4 and the first term of -1 to calculate the value of the nth term in the sequence.