Rain is falling at a constant rate of 0.2 inches per hour. After 5 hours, how much rain has fallen?

Answer:

100

Step-by-step explanation:

Volume of the larger box (cuboid) = 10(Length)×10(width)×16(height)

= 1600 cubic in

Volume of smaller box = 2×2×4= 16 cubic in

Therefore, number of smaller boxes can could be fit inside larger box = 1600/16 = 100

Answer:

1 x 106

Step-by-step explanation:

The  7 steps of process in the hypothesis deduction Method are;

Scientists who formulate hypotheses (premises), derive conclusions, and test those conclusions refer to this process of verifying ideas as the "hypothetico-deductive method," according to philosophers and methodologists of science.

The hypothetico-deductive (HD) method, often known as the scientific method, is a cycle of inference and observation that is used to develop and evaluate hypothesized explanations for perplexing natural phenomena.

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Answer:

They are the same

Step-by-step explanation:

LA cyl =

\(2\pi \: rh\)

SA sphere =

\(4\pi {r}^{2} \)

If the sphere is inscribed in the cylinder, they have the same radius. The height of the cylinder is the diameter (Or 2× radius) of the sphere.

If you substitute 2r for h, then both formulas are

\( 4\pi{r}^{2} \)

Explanation

Step 1

we have a expression in the form.

we need two a and b numbers such as

now, we can factorize

I hope this helps you

Answer:

Independent.

Step-by-step explanation:

The results of tossing the penny first will have no impact on the result of tossing the nickel. Both can be seen as individual events.

Answer:

130 is your answer

Step-by-step explanation:

hope this helps

Answer:

Answer: 40% of 130 is 52

Step-by-step explanation:

The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

We have a polynomial function:

f(x) = (x – 1)(x – 1)(x + 7)

We can write it as:

f(x) = (x – 1)²(x + 7)

Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.

Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.

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The function is nonlinear

Answer:

nonlinear

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The Fundamental theorem of algebra tells us that a polynomial of degree n has n roots.

Here the polynomial is a cubic, that is of degree 3

Thus it will have 3 roots, real and/ or imaginary.

Since imaginary roots occur in conjugate pairs

Since the polynomial has 3 real roots there are no imaginary roots, thus

A is the required response.

500 divided by 8 is 6.25 ( 6 months and 25 days) so he answer round to the nearest digit is 6 so the answer is B (6 months)

The amount raised by a booster club compared with the number of  raffle tickets sold shows a constant rate of change;

A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.

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Answer:

C

Step-by-step explanation:

To find which of the given choices are solutions for the system of equations, we need to:

-substitute x, and y with the given coordinates and

-check if they are solutions for both equations.

7x+y= 6

x+ 2y = -1

A. (x = -1, y = 0) ❌

7(-1)+0= 6; -7 =6 FALSE

-1+ 2*0 = -1; -1= -1 TRUE

B. (x = 1, y = 0)❌

7*1+ 0= 6; 7= 6 FALSE

1+ 2*0 = -1; 1 =-1 FALSE

C. (x =1, y= -1)✅

7*1 -1= 6; 6=6 TRUE

1+ 2(-1) = -1; -1=-1 TRUE

D. None of these choices are correct ❌

because one choice is correct

1. To compare the shape of your sampling distributions to the original data set and each other, look at the Histogram-Population and the frequency histograms for different sample sizes (n=10, n=20, n=40).

In genetics, a population is often defined as a set of organisms in which any pair of members can breed together. This means that they can regularly exchange gametes to produce normally-fertile offspring, and such a breeding group is also known therefore as a gamodeme. This also implies that all members belong to the same species.[4] If the gamodeme is very large (theoretically, approaching infinity), and all gene alleles are uniformly distributed by the gametes within it, the gamodeme is said to be panmictic. Under this state, allele (gamete) frequencies can be converted to genotype (zygote) frequencies by expanding an appropriate quadratic equation, as shown by Sir Ronald Fisher in his establishment of quantitative genetics.

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The two perfect square trinomial perfect are x^2 − 4x + 4 and x^2 + 10x + 25.

A mathematical expression with three terms or three monomials is called a trinomial.

Polynomials having only three terms are known as trinomials.

A perfect square trinomial is an algebraic expression that takes the  form

ax^2 + bx + c,

A perfect square trinomial is gotten by the multiplication of a binomial with itself, and a binomial takes the form (x+a).

Therefore, the two perfect square trinomial perfect are x^2 − 4x + 4 and

x^2 + 10x + 25.

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Answer: Options C and D are correct

Step-by-step explanation: i took the test

The sampling distribution of the sample mean for samples of size 4 is 0.1 and the probability that the inspector will make a Type I error is 0.97

The distribution of pH levels for all community swimming pools in a large county is approximately normal, with a mean of 7.5 and a standard deviation of 0.2.

The safest pH level is from 7.2 to 7.8 and the health inspector selects the random sample of 4 community swimming pools to interrogate the pH levels.

So the mean is 7.5 and the sampling distribution of the sample mean for samples of size 4 can be obtained by 0.2 divided with square root of 4, we get

0.2 / sqrt(4) = 0.2/2 = 0.1

The probability that the inspector will make a Type I error with the sample of 4 pools , the mean is 7.5 and in between 7.2 and 7.8 , so

7.2 - 7.5 / 0.1 = -0.3/0.1 = -0.03

7.8 - 7.5 / 0.1 = 0.3/0.1 = 0.03

So, the probability that the inspector will make a Type I error is 1-0.03 = 0.97

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Answer:

C (6)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: During the Russian war, The Russians and Germans were at war with each other, Beating them brutally.

Step-by-step explanation:

Alvin's average paddling rate was 6.6 km/h.

We know that,

Speed= Distance/ Time  (solve for distance)

Distance = Speed × Time

To Campsite against the current,

Speed=r-y   ; speed=(r-3)

Time = 8 hours

Distance = (r-3)×8     (equation 1)

From Campsite with the current,

Speed = r + y   ; speed=(r+3)

Time = 3 hours

Distance = (r+3)×3        (equation 2)

Equating equation 1 and equation 2  because distance is same in both case,

(r+3)×3=(r-3)×8

3r+9=8r-24

8r-3r=24+9

5r=33

r=6.6 km/hour.

What does aptitude mean upstream and downstream?

Upstream/Downstream: In the case of water, downstream refers to the direction that follows the stream. Upstream refers to the direction that runs counter to the stream. Speed downstream equals (u + v) km/hr if a boat is moving at u km/hr in still water and v km/hr in a stream.

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The radio utilizes radio waves for broadcasting, while Wi-Fi relies on electromagnetic waves, specifically radio waves or microwaves, for wireless internet connectivity.

Both radio waves and Wi-Fi waves are forms of electromagnetic radiation that travel through space and enable communication. Radio waves have longer wavelengths and lower frequencies compared to Wi-Fi waves. They are used for transmitting audio signals from radio stations to radios, allowing us to listen to music, news, and other broadcasts. On the other hand, Wi-Fi waves are higher in frequency and shorter in wavelength. They are employed for wireless data transmission within local area networks (LANs), enabling internet connectivity without the need for physical connections. Wi-Fi technology is widely used in homes, offices, and public spaces, providing convenient access to information, communication, and entertainment.

In terms of importance, it is subjective and depends on individual needs and preferences. Radio waves have been a significant medium for mass communication and entertainment for decades, playing a crucial role in providing news, music, and other forms of entertainment to a broad audience. It has had a profound impact on society, shaping culture and fostering the spread of information. Wi-Fi, on the other hand, has become increasingly essential in the digital age, enabling wireless connectivity for a wide range of devices, including smartphones, laptops, tablets, and smart home devices. It has revolutionized how we access information, work, communicate, and entertain ourselves. Wi-Fi has empowered mobility and flexibility, allowing us to connect to the internet and access a vast array of resources and services from the comfort of our homes or on the go.

In conclusion, both radio waves and Wi-Fi waves have their unique significance in enabling communication and connectivity. While radio waves have a long-standing history and a wide reach in mass communication, Wi-Fi has become indispensable in the digital era, facilitating wireless internet access and transforming how we interact with technology. The importance of each depends on individual needs, preferences, and the context in which they are utilized.

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The probability that a randomly selected participant dreams in black and white or color is 0.01

The probability that a randomly selected participant dreams in black and white or color is the sum of the probabilities of the individual events (dreaming in black and white or dreaming in color) and the probability of the intersection of the two events (dreaming in both black and white and color).

The probability of dreaming in black and white is the number of participants who dream in black and white divided by the total number of participants surveyed:

P(b) = 4/200

The probability of dreaming in color is the number of participants who dream in color divided by the total number of participants surveyed:

P(c) = 10/200

The probability of dreaming in both black and white and color is the number of participants who dream in both black and white and color divided by the total number of participants surveyed:

P(b ∩ c) = 12/200

The probability of dreaming in black and white or color is the sum of the individual probabilities and the intersection probability:

P(b ∪ c) = P(b) + P(c) - P(b ∩ c) = 4/200 + 10/200 - 12/200 = 2/200 = 1/100

The probability that a randomly selected participant dreams in black and white or color is 1/100.

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According to the question, the total number of handshakes among the 2626 people is 1,731,712.

To calculate the number of handshakes among the 2626 people, we need to consider that each man shakes hands with everyone except his spouse, and there are 1313 married couples in attendance.

Since there are 1313 married couples, there are also 1313 men and 1313 women. Each man shakes hands with all the women except his spouse, resulting in (1313 - 1) handshakes for each man. Therefore, the total number of handshakes involving men is 1312 handshakes.

Since no handshakes took place between women, we only need to calculate the number of handshakes involving men and women. Each of the 1313 men shakes hands with all the 1313 women, resulting in 1313 * 1313 handshakes.

Now we can calculate the total number of handshakes by adding the handshakes involving men (1312 handshakes) and the handshakes involving men and women (1313 * 1313 handshakes):

Total number of handshakes = 1312 + (1313 * 1313)

= 1,731,712

Hence, the total number of handshakes among the 2626 people is 1,731,712.

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The area of the piece of cake that Marty eats is: 64π square inches * (1/8) = 8π square inches. the area of the piece of cake that Marty eats is 8π square inches.

To find the area of the piece of cake that Marty eats, we first need to calculate the area of the entire round cookie cake.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius of the circle.

Given that the diameter of the cake is 16 inches, the radius (r) is half the diameter, which is 16/2 = 8 inches.

So, the area of the entire round cookie cake is:

A = π(8)^2 = 64π square inches.

Since the cake is divided into 8 equal pieces, each piece represents 1/8th of the total area.

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Step-by-step explanation:

Given that,

The area of a blackboard is \(1\dfrac{1}{3}=\dfrac{4}{3}\ \text{yards}^2\)

The area of poster is \(\dfrac{8}{9}\ \text{yards}^2\)

We need to find the unit rate of the blackboard's area to the poster's area. So, it can be calcualted by dividing blackboard's area to the poster's area.

So,

\(\dfrac{\dfrac{4}{3}}{\dfrac{8}{9}}=\dfrac{4}{3}\times \dfrac{9}{8}\\\\=1.5\)

So, the rate of \(1.5\ \text{yard}^2\).

1. The table of values for the repayment of the loan by Annabelle is as follows:

Week        Loan Balance

0                    $70

1                     $60

2                    $50

3                     $40

4                     $30

5                     $20

6                      $10

7                       $0

2. An equation for L, in terms of t, representing the amount Annabelle owes her friend after t weeks is L = 70 - 10t.

3. After 3 weeks, for example, Annebelle will be owing her friend $40.

A table of values is an ordered pair of numbers resulting from the substitution of an unknown variable with numbers in an equation.

In a table of values, the equation determines the numerical or value relationship between each pair of numbers.

Week        Loan Balance

0                    $70

1                     $60 ($70 - $10(1)

2                   $50 ($70 - $10(2)

3                   $40 ($70 - $10(3)

4                   $30 ($70 - $10(4)

5                   $20 ($70 - $10(5)

6                   $10 ($70 - $10(6)

7                    $0 ($70 - $10(7)

Thus, based on the table of values, Annabelle's debt balance can be represented in the equation L = 70 - 10t.

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The value of the variables are x = -1 and y = 1

Simultaneous equations are described simply as two or more algebraic equations having the same unknown variables and for which the same value of the variables satisfies all the equations.

From the information given, we have the simultaneous equations;

x=6y-7

4x+y=-3

Now, substitute the value of the variable x in equation 2, we have;

4(6y - 7) + y = -3

expand the bracket, we get;

24y - 28 + y = -3

collect the like terms, we have;

24y + y = -3 + 28

add the values

25y = 25

Make 'y' the subject

y = 1

Then, x = 6(1) - 7 = 6 - 7 = -1

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Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

Answer:

y = -2x + 5

Step-by-step explanation:

20 = 8x + 4y

subtract 8x from both sides

4y = -8x + 20

divide both sides by 4

y = -2x + 5

The value of y is 5-2x=y

Two or more expressions with an Equal sign is called as Equation.

The given equation is 20 = 8x + 4y

Twenty equal to eight times of x plus four times of y.

We need to solve the equation for y.

To solve this we need to separate the variable y.

Subtract 8x on both sides

20-8x=4y

Divide both sides by 4

20/4-8/4x=y

5-2x=y

Hence, the value of y is 5-2x=y

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