urgent.
need help with this​

The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Answer:

greater than or equal to 1 and less than 10.

Step-by-step explanation:

The first number in scientific notation must be ...

greater than or equal to 1 and less than 10.

The percentage of all men between 66.5 inches and 71.5 inches is 99.99%

The mean of the heights of adult men in inches = 69

The standard deviation of the adult men in inches = 2.5

The percentage of all men between the heights of 66.5 inches and 71.5 inches can be calculated using the normal distribution.

P(66.5 < x < 71.5)

The standard form for these random samples using the formula,

Z = (X - μ) ÷ σ

where Z is the standard form

X is the random sample

μ is the mean

σ is the standard deviation.

For x = 66.5,

z =  (66.5 - 69) ÷ 2.5

= -2.5 ÷ 2.5

= -1

For x = 71.5,

z = (71.5 - 69) ÷ 2.5

= 2.5 ÷ 2.5

= 1

The standardized form of those random samples are

P(66.5 < x < 71.5) = P( -1 < z < 1)

which can be written as

= P(-1 < z < 0) + P(0 < z < 1)

By using the z-table we can find the value of z

P(-1 < z < 1) = 0.15866 + 0.8413

= 0.99996

Then, the percentage of heights between 66.5 and 71.5 is

= 0.99996 x 100

= 99.99 %

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Answer:

formula for area is length × height

so we have 13+8 ×16+4

21×20 = 420m

Louis total distance of 8/5 km. Louis rose his bicycle a total distance of 8/5 km.

Louis rose his bicycle a total distance of 1/2 km + 3/4 km + 7/10 km.

To find the total distance, we need to find a common denominator for the fractions: 2, 4, and 10.

The least common denominator is 20.

So, 1/2 km can be written as 10/20 km, 3/4 km can be written as 15/20 km, and 7/10 km remains the same.

Adding these fractions together, we have:

10/20 km + 15/20 km + 7/10 km = 32/20 km

Simplifying this fraction, we get:

32/20 km = 8/5 km

Therefore, Louis rose a total distance of 8/5 km.

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Louis rode a total distance of 8/5 km or 1 and 3/5 km

Louis rode his bicycle a total of 1/2 km to school, 3/4 km to a ball field, and 7/10 km back home. To find the total distance Louis traveled, we need to add up these three distances.

First, let's add 1/2 km and 3/4 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 2 and 4 is 4.

Converting 1/2 to have a denominator of 4, we get 2/4. Now we can add 2/4 + 3/4, which equals 5/4.

Next, we need to add 5/4 km and 7/10 km. To add fractions with different denominators, we need to find a common denominator. The least common multiple of 4 and 10 is 20.

Converting 5/4 to have a denominator of 20, we get 25/20. Now we can add 25/20 + 7/10, which equals 32/20.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4. Dividing 32/4 and 20/4, we get 8/5.

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The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

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Answer:

1/1

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

I know the working is not so much but the answer is 2

A function that models the simple harmonic motion having the given properties is y = 6.25 cos (120π.t)

A function that models the simple harmonic motion having the given properties, with the displacement is at its maximum at time t = 0. amplitude 6.25 in., frequency 60 Hz, we get:

A cos (Bt)

has amplitude A and period 2π/B and reaches i at t = θ

so we choose A = 6.25

period = 1/frequency

period = 2π/B = 1/60

2π/B = 1/60

B = 120π

y = A cos (Bt)

y = 6.25 cos (120π.t)

Therefore, we can say that the function that models the simple harmonic motion having the given properties is y = 6.25 cos (120π.t)

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Answer: y=7

Step-by-step explanation:

Slope intercept form

y=mx+b

m=slope

b= y-intercept

find the slope with the slope formula

y2-y1/x2-x1

7-7/6-(-1)

0/7

the slope is 0, meaning this is a horizontal line.

Find the y-intercept

7=0(-1)+b

b=7

y=7

Part of question :

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

Answer:

Yes, equation of circle is true

Step-by-step explanation:

(x-10)^2+(y-10)^2=100

(16-10)^2+(18-10)^2=100

100=100

plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true

Answer:

$1.66 per pound of potatoes.

Step-by-step explanation:

7/4.20 = 1.66$ per Pound

Mark as brainllest

$1.66 per pound of potatoes.

Answer:

-2

Step-by-step explanation:

2(2)*3-14

4*3-14

12-14

-2

The growth constant is 0.69 and the population will increase to 12900 after approximately 3.7 years.

We have, Sunset Lake is stocked with 2500 rainbow trout and after 1 year the population has grown to 7050. Assuming logistic growth with a carrying capacity of 25000,

The logistic growth model is given by the equation

dN/dt=rN[(K-N)/K]

where, dN/dt = rate of change of population with respect to time,

N = population size at time t,

r = intrinsic rate of natural increase (growth constant),

K = carrying capacity.

The population size, "N" after 1 year = 7050

The initial population, "N₀" = 2500

The carrying capacity, K = 25000

We can use the following formula to find the value of the growth constant,

r = 2.303/t{ln(N_t/N₀) }........... (1)

Where, t = time taken for the population to increase from N_0 to N_t= 1 year (given)

Substituting the given values in equation (1), we get

r = 2.303/1 ln(7050/2500) ⇒ 0.688 ≈ 0.69

The value of the growth constant is 0.69.

Now, we can use the logistic growth equation to find the time required for the population to reach 12900.

dN/dt=rN[(K-N)/K]

Given, N₀ = 2500 and K = 25000

Differentiating both sides with respect to t,

dN/dt = rN[(K-N)/K] + Ndr/dt

Substituting the values of N, r, and K in the above equation, we get,

dN/dt= 0.69N[(25000-N)/25000] + N{dN/dt}

Let the population N become 12900 at time t = t₁

Therefore, at time t = 0, the population N₀ = 2500

Also, at time t = 1, the population N₁ = 7050

Substituting these values in the above equation, we get,

dN/dt= 0.69N[(25000-N)/25000] + N₁

dN/dt= 0.69(2500)[(25000-2500)/25000] + N₁

Solving for N₁, we get, N₁ = 7825

Substituting N₁ = 7825 in the above equation,

dN/dt= 0.69(7825)[(25000-7825)/25000] + N₁

dN/dt= 3263.25/1.69 ⇒ 1930.4

Now, to find t1, we can use the following formula;

ln[(K-N₁)/(K-N₀)] = rt₁

Substituting the given values, we get,

ln[(25000-12900)/(25000-2500)] = 0.69t₁

On solving for t₁, we get;

t₁ = ln[(1575/22500)]/0.69 ≈ 3.7 years

Hence, the population will increase to 12900 after approximately 3.7 years.

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Answer:

1 outcome is possible

Step-by-step explanation:

because at a time only 1 favourable outcome will come

1) The way to tackle this expression is to apply the Distributive Property, a.k.a by the acronym FOIL

2) So, we can write down the following development:

Note that we have distributed the factors over the parentheses and then we rewrote those whole numbers as fractions.

Thus, the answer is x=-3

=(a+a+a+a+a+a)

= 6a

=(5x+−4x+10x)

= 11x

=(9t+3t+−6t)

= 6t

=(−5j+11j+j)

= 7j

a)= 6a

b)= 11x

c)=6t

d)= 7j

The distance between the point A and point B is 9.5 units

The formula for calculating the distance between two points is expressed according to the formula shown below;

AB = √(x₂-x₁)²+(y₂-y₁)²

Using the given coordinates points A(5, -3) and B (-4, -6)

Substitute to have:

AB = √(5-(-4))²+(-3-(-6))²

AB = √(5+4)²+(-3+6))²

AB = √81+9

AB =  √90

AB = 9.5 units

Hence the distance between the point A and point B is 9.5 units

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The probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

There are a total of 52 cards in each deck, so there are 52 x 52 = 2,704 possible combinations of cards that could be drawn.

To calculate the probability of drawing two eights, we need to determine the number of ways we can draw two eights and then divide that by the total number of possible combinations.

There are four eights in each deck, so there are 4 x 4 = 16 ways to draw two eights (one from each deck).

Therefore, the probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

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Answer:

90% are being used out of 100%.

Answer: y=3

Step-by-step explanation: first simplify

after that you combine like terms so

15y-13y-2y+3y

once you subtract and add all of those you will get 3y=9

divide both sides and you’ll get y=3

hoped this helped :D

Using merge sort: Split the list, recursively divide sublists, and merge them in ascending order to obtain [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12].

To sort the given numbers using the merge sort algorithm, follow these steps:

1. Split the list into individual elements: [6, 4, 11, 3, 7, 1, 12, 9, 5, 2, 8, 10]

2. Recursively divide the list into halves until each sublist contains only one element.

  First split: [6, 4, 11, 3] [7, 1, 12, 9] [5, 2, 8, 10]

  Second split: [6, 4] [11, 3] [7, 1] [12, 9] [5, 2] [8, 10]

  Third split: [6] [4] [11] [3] [7] [1] [12] [9] [5] [2] [8] [10]

3. Merge the divided sublists by comparing and arranging the elements in increasing order.

  Merge: [4, 6] [3, 11] [1, 7] [9, 12] [2, 5] [8, 10]

  Merge: [3, 4, 6, 11] [1, 7, 9, 12] [2, 5, 8, 10]

  Merge: [1, 3, 4, 6, 7, 9, 11, 12] [2, 5, 8, 10]

  Merge: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]

4. The sorted list is [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12].

Therefore, the given numbers sorted in increasing order using the merge sort algorithm are: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.

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The system of equations of the number of bottles in both classes has two distinct equations

Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

The given parameters are:

Mr. Sanchez = $1.73

Mr. Kelly = $1.44

Represent the number of bottles in both classes with x and y,

So, we have the following equations

1.73x + 1.44y = 130.83

x + y = 83

Next, we plot the graphs of the equations

From the graph (see attachment), we have:

(x,y) = (39,44)

Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles

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Answer:

[ - 4, 8 ]

Step-by-step explanation:

parenthesis ( ) is used when end values are not equal to x

brackets [ ] are used when the end values are equal to x

For - 4 ≤ x ≤ 8

Then x can equal both - 4 and 8 , so

[ - 4, 8 ] ← is the appropriate interval notation

The solution r(t) of the differential equation with the given initial condition: r'(t) = (sin 6t, sin 6t, 7t), r(0) = (4, 7, 6) is:

r(t) = (2 cos 6t + 4, 2 cos 6t + 7, (7/36) t² + 6)

Given, the differential equation r'(t) = (sin 6t, sin 6t, 7t), r(0) = (4, 7, 6)

The differential equation is a vector equation with three components. Therefore, the solution r(t) is also a vector equation with three components.

Let r(t) = (x(t), y(t), z(t))

Then r'(t) = (x'(t), y'(t), z'(t))

Hence, from r'(t) = (sin 6t, sin 6t, 7t), we get

x'(t) = sin 6ty'(t) = sin 6tz'(t) = 7t

Solving the above set of equations, we get

x(t) = 2 cos 6t + 4y(t) = 2 cos 6t + 7z(t) = (7/36) t² + 6

Therefore, the solution r(t) of the given differential equation with the initial condition r(0) = (4, 7, 6) is:

r(t) = (2 cos 6t + 4, 2 cos 6t + 7, (7/36) t² + 6)

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