the dimensions of noah’s ark were reported as 3.0 × 102 cubits by 5.0 × 101 cubits. express this size in units of feet (1 cubit = 1.5 ft)

The correct option is for the value of c,  such that f(c) is the average value of the function on the interval [0, 2], is D.

The average value of a function on an interval [a, b] is given by:

R = (f(b) - f(a))/(b - a)

Here the interval is [0, 2], then:

f(2) = √(2 + 2) = 2

f(0) = √(0 + 2) = √2

Then here we need to solve the equation:

√(c + 2) = (f(2) - f(0))/(2 - 0)

√(c + 2) = (2 + √2)/2

Solving this for c, we will get:

c = [ (2 + √2)/2]² - 2

c = 0.9

Them tjhe correct option is D.

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A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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The degrees of freedom for the numerator is  2. The df for the denominator is 54

For a one-way ANOVA with k groups and n observations per group, the degrees of freedom (df) for the numerator and denominator are calculated as follows:

The df for the numerator is k - 1, which represents the number of groups minus one.

The df for the denominator is N - k, which represents the total number of observations minus the number of groups.

In this case, there are 3 groups and each group has n = 19 observations, so the total number of observations is N = 3 x 19 = 57. Therefore:

The df for the numerator is 3 - 1 = 2

The df for the denominator is 57 - 3 = 54

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Answer:

38.98

Step-by-step explanation:

Perimeter of figure has 3 sides of rectangle and half the circle

perimeter of the rectangle = 5 + 5 + 7 = 17

circumference of 1/2 circle = 2 x 3.14 x (7/2) = 21.98

perimeter of figure = 17 + 21.98 = 38.98

Answer:

1.6 2 and 2/5 divided by 1 and 1/2 =1.6

Step-by-step explanation:

If the owner's beliefs are correct,  the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

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The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to given plot, which creates a scatterplot.

Therefore, geom_jitter() make the points easier to find.

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The analyst could use the geom_jitter() function to make the points easier to find.

It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

In this question we have been given a data analyst creates a scatterplot with a lot of data points. It is difficult for the analyst to distinguish the individual points on the plot because they overlap.

We need to find a function that could the analyst use to make the points easier to find.

We know that overplotting is caused due to discreteness in smaller datasets.

A function geom_jitter() adds a small random variation to the location of each point, which is a useful way of handling overplotting.

Whereas the function geom_point() adds a layer of points to a given plot, which creates a scatterplot.

Therefore, geom_jitter() makes the points easier to find.

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Area of polygon = 1/2 * product of diagonals

Area of polygon = 1*10*8/2

Area of polygon = 40 unit sq.

The \(x^{th}\) number in the sequence will be   \(F[x]=\dfrac{5}{2} F[x]\)

The given function is

\(F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}\)

Now at  \(x=x+1\) for the function

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x+1-1}\)

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x }\)

Now we can write

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1} \dfrac{5}{2}^1\)

Since     \(F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}\)

so

\(F[x]=\dfrac{5}{2} F[x]\)

Thus the \(x^{th}\) number in the sequence will be   \(F[x]=\dfrac{5}{2} F[x]\)

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Answer:

A

Step-by-step explanation:

Took exam and got 100

Answer:

graph it to 10÷5 there's your answer

Answer: its 0 right or is it supposed to be a face or sumthin

Step-by-step explanation:

SSS - Side - Side - Side

SAS - Side - Angle - Side

ASA - Angle - Side - Angle

AAS - Angle - Angle - Side

The above theorems can be used to compare two triangles.

SSS, which stands for "side, side, side," represents two triangles having identical angles on each of their three sides. Two triangles are said to be congruent if their third sides coincide with those of another triangle.

That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle match the two sides and included angle of the other triangle. Any angle that may be made by two particular sides is regarded as an included angle.

A triangle is comparable to another if its two matching angles are congruent, according to the AAA postulate of Euclidean geometry. The AAA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.

While in case of ASA the angle - side and another angle of first triangle is equal to the corresponding angle - side - angle of other triangle.

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SSS, SAS, ASA, and AAS are four types of triangle congruence.

SSS (Side-Side-Side) is the congruence of three sides of a triangle. This means that all three sides of the triangle have the same length. To prove SSS congruence, you need to show that the corresponding sides of the two triangles have the same length. This can be done by calculating the length of each side and comparing them.

SAS (Side-Angle-Side) is the congruence of two sides and the included angle of a triangle. This means that the two sides of the triangles must have the same length, and the angles between those two sides must also be the same. To prove SAS congruence, you need to show that the corresponding sides of the two triangles have the same length, and that the angles between those two sides are also the same.

ASA (Angle-Side-Angle) is the congruence of two angles and the included side of a triangle. This means that the two angles of the triangles must have the same measure, and the side between those two angles must also be the same length. To prove ASA congruence, you need to show that the corresponding angles of the two triangles have the same measure and that the side between those two angles is also the same length.

AAS (Angle-Angle-Side) is the congruence of two angles and a non-included side of a triangle. This means that two angles of the triangles must have the same measure, and the side not included between those two angles must also be the same length. To prove AAS congruence, you need to show that the corresponding angles of the two triangles have the same measure, and that the side not included between those two angles is also the same length.

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Answer:17

Step-by-step explanation:my teacher explained how 20 is wrong

Answer:

It is 17 percent.

Step-by-step explanation:

Confirming the other answer is right and just saying it's right for other people who might not trust em. :D

the answer is on the picture

Answer:

∠2 = 41°

Step-by-step explanation:

This is because, all three interior angles in a triangle will have a sum of 180 degrees.

So given that we have two angles, 90 degrees(right angle) and 49 degrees, we can replace angle 2 as our unknown value(a variable) and make it equal to 180 degrees then solve for x;

49 + 90 + x = 180

139 + x = 180

-139        -139

x = 41°, ∠2 = 41°

Answer:

B. 62 un2

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4(x+2)=6x

distribute 4:

4x+8=6x

Subtract 4x from each side:

8=2x

Divide both sides by 2:

x=4

Therefore, √128 lies between 11 and 12 on a number line.

To determine the two numbers between which √128 lies on a number line, we can calculate the square roots of consecutive perfect squares that surround 128.

By calculating the square roots, we can find the two nearest whole numbers that √128 lies between.

Calculating the square roots of perfect squares near 128:

√121 = 11

√144 = 12

Since 128 is greater than 121 and less than 144, √128 lies between √121 and √144 on the number line.

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Answer: 27

Step-by-step explanation:

There are multiple ways to do this, but the most efficient is to set up an equation.

Using the keywords write an equation:

Difference means subtraction. Since is asking for half of the difference, divide it by 2 and then set it equal to 10:

(a-7)/2=-10

Multiply both sides by 2

a-7=20

Add 7 to both sides

a=27

Have a nice day :)

Answer:

Step-by-step explanation:

\(f(x)=2−3x\)

To find f(4) , substitute the value of x that's 4 into f(x). That is for every x in f(x) replace it with 4.

We have

f(4) = 2 - 3(4)

= 2 - 12

We have the final answer as

Hope this helps you

Answer:

A

Step-by-step explanation:

f(x)=2 − 3x

f(4) = 2 - 3(4)

f(4) = 2 - 12

f(4) = -10

Best of Luck!

Answer:

A

Step-by-step explanation:

Answer:

The answer is D or 32oz for $3.00

Step-by-step explanation:

You're trying to find how much it cost for just 1 ounce so divide the price by the ounces:

a. $ 1.25 ÷ 12 =  $ .104 per ounce

b. $ 1.65 ÷ 16 = $ .103 per ounce

c. $ 2.15 ÷ 20 = $ .1075 per ounce

d. $ 3.00 ÷ 32 = $ .09375 per ounce

Option D is the cheapest per ounce of all four choices!

Hope this helped

10.5 lawn tickets and 3.5 pavilion seats were sold.

Simultaneous equations, or a system of equations, Two or more equations must be solved together in algebra (i.e., the answer must satisfy every equation in the system).

Let x be the number of lawn tickets sold, and y be the number of pavilion seats sold.

Then we can write the following system of equations:

x + y = 14       (Equation 1: total number of tickets sold)

26x + 54y = 462  (Equation 2: total cost of the tickets)

To solve this system using substitution, we can solve Equation 1 for one of the variables (e.g., x = 14 - y) and substitute it into Equation 2, then solve for the remaining variable:

26(14 - y) + 54y = 462

364 - 26y + 54y = 462

28y = 98

y = 3.5

Since we can't sell a fractional number of tickets, this solution doesn't make sense in the context of the problem. We made an error in our calculation or assumption. Let's try to solve this using the elimination method.

Multiplying Equation 1 by 26, we get:

26x + 26y = 364    (Equation 3)

Now we can subtract Equation 3 from Equation 2 to eliminate x:

54y - 26y = 462 - 364

28y = 98

y = 3.5

Substituting y = 3.5 into Equation 1, we get:

x + 3.5 = 14

x = 10.5

Again, this solution doesn't make sense in the context of the problem because we can't sell a fractional number of tickets. We made an error somewhere. Let's check our equations:

10.5 + 3.5 = 14   (Equation 1 is correct)

26(10.5) + 54(3.5) = 462   (Equation 2 is incorrect)

The mistake is in Equation 2. The cost of the pavilion seats is $54, not $53. Let's correct that and solve the system again:

x + y = 14       (Equation 1: total number of tickets sold)

26x + 54y = 462  (Equation 2: total cost of the tickets)

Multiplying Equation 1 by 26, we get:

26x + 26y = 364    (Equation 3)

Now we can subtract Equation 3 from Equation 2 to eliminate x:

54y - 26y = 462 - 364

28y = 98

y = 3.5

Substituting y = 3.5 into Equation 1, we get:

x + 3.5 = 14

x = 10.5

Therefore, 10.5 lawn tickets and 3.5 pavilion seats were sold.

To check our answer, we can substitute x = 10.5 and y = 3.5 into Equation 2 and see if it gives us the total cost:

26(10.5) + 54(3.5) = 273 + 189 = 462

Our solution makes sense in the context of the problem because it satisfies all the given conditions.

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Complete question :

Admission rate at local aquarium :

Ticket ________ Price

Children _______ $9

Adult __________ $15

Mr.Reilly spent $90 on tickets to the aquarium. Write an equation in standard form to represent the situation

Answer:

y = 6 - (9/15)x

Step-by-step explanation:

The amount spent = [(rate of children ticket * number of children ticket obtained) * rate of adult ticket * number of adult ticket purchases)]

Let :

number of chikdren ticket = x

Number of adult ticket = y

(15 * y) + (9 * x) = 90

15y + 9x = 90

15y = 90 - 9x

Divide through by 15

y = 6 - (9/15)x

The charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0).

To determine the charge distribution given the electric field E(r) = ε₀K(x² + y² + a², x² + y² + a², 0), we can apply Gauss's law and the relationship between electric field and charge density.

Gauss's law states that the divergence of the electric field (∇ · E) is equal to the charge density (ρ) divided by the permittivity of free space (ε₀).

In this case, since the electric field E(r) is given, we can calculate the divergence ∇ · E by taking the partial derivatives of each component of E with respect to their corresponding variables:

∂Eₓ/∂x = ε₀K(2x, 2x, 0)

∂Eᵧ/∂y = ε₀K(2y, 2y, 0)

∂Ez/∂z = 0

Now, equating each component of the divergence to the charge density ρ:

∂Eₓ/∂x = ε₀K(2x, 2x, 0) = ρ

∂Eᵧ/∂y = ε₀K(2y, 2y, 0) = ρ

∂Ez/∂z = 0

From these equations, we can see that the charge density ρ is constant and equal to ε₀K(2x, 2x, 0) or ε₀K(2y, 2y, 0) in each direction.

Therefore, the charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0) or ρ = ε₀K(2y, 2y, 0) depending on the direction.

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Answer:

The answer is 16.8%

Step-by-step explanation:

First, find the difference in the price, which is $78. You can then use that number to find the percentage by dividing the difference by the original price, then moving the decimal over to the right twice. You prove this with the discount equation. $387= $465-(16.8%*465). You will get a number similar to 387, but that is only because you are using a rounded percentage.

To find the general solution of the differential equation 3xy^2y' = 0, we can separate the variables and integrate both sides with respect to x.

First, we can rewrite the equation as:

y^2 dy/dx = 0

dy/y^2 = 0 dx

∫ dy/y^2 = ∫ 0 dx

Using the power rule for integration, we can integrate the left-hand side:

-1/y = C1 + x

where C1 is the constant of integration.

y = -1/(C1 + x)

where C1 is an arbitrary constant.

Therefore, the general solution of the differential equation 3xy^2y' = 0 is y = -1/(C1 + x)

where C1 is an arbitrary constant.

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The pounds of pressure needed to reach a fire 50 feet away is 48 pounds

d = 1/2n + 26

where

If d = 50 feet

d = 1/2n + 26

50 = 1/2n + 26

50 - 26 = 1/2n

24 = 1/2n

n = 24 ÷ 1/2

n = 48 pounds

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